Wrath of MathHow do we find the quartiles and the interquartile range of a set of data? We'll be going over that with an example in today's statistics video lesson! #Statistics #APStats
Finding the first quartile, second quartile, and third quartile of a data set is easy, but it can be time consuming. First, we have to order our data from least to greatest, then we can find the median of the data - the middle value - which is the second quartile, often written as Q2. Then we just find the median of all the data below Q2, which gives us Q1. Then we find the median of all the data above Q2, which gives us Q3. We have then split the data into four parts: the data less than Q1, the data between Q1 and Q2, data between Q2 and Q3, and data above Q3.
We can subtract Q1 from Q3 to find the "interquartile range". So Q3 - Q1 equals the interquartile range or IQR. This is a measure of how spread out the data is around the middle. If the interquartile range is very large then the middle 50% of the data is very spread out.
Then, the median is the average of the middle two values, the average of 54,000 and 64,500 which is (54,000 + 64,500) / 2 = 59,250. This is Q2.
Then, 28,000 ; 33,000 ; 42,000 ; 54,000 ; 54,000 is the list of data below Q2 - the lower half of data. The median of this data is 42,000 - thus Q1 is 42,000.
Finally, 64,500 ; 68,500 ; 69,000 ; 72,000 ; 120,000 is the list of data above Q2 - the upper half of data. The median of this data is 69,000 - thus Q3 is 69,000.
Lastly, the interquartile range is Q3 - Q1 = 69,000 - 42,000 = 27,000.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
******************************************************************** The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Finding Quartiles and the Interquartile Range of Data | Statistics, IQRWrath of Math2020-04-21 | How do we find the quartiles and the interquartile range of a set of data? We'll be going over that with an example in today's statistics video lesson! #Statistics #APStats
Finding the first quartile, second quartile, and third quartile of a data set is easy, but it can be time consuming. First, we have to order our data from least to greatest, then we can find the median of the data - the middle value - which is the second quartile, often written as Q2. Then we just find the median of all the data below Q2, which gives us Q1. Then we find the median of all the data above Q2, which gives us Q3. We have then split the data into four parts: the data less than Q1, the data between Q1 and Q2, data between Q2 and Q3, and data above Q3.
We can subtract Q1 from Q3 to find the "interquartile range". So Q3 - Q1 equals the interquartile range or IQR. This is a measure of how spread out the data is around the middle. If the interquartile range is very large then the middle 50% of the data is very spread out.
Then, the median is the average of the middle two values, the average of 54,000 and 64,500 which is (54,000 + 64,500) / 2 = 59,250. This is Q2.
Then, 28,000 ; 33,000 ; 42,000 ; 54,000 ; 54,000 is the list of data below Q2 - the lower half of data. The median of this data is 42,000 - thus Q1 is 42,000.
Finally, 64,500 ; 68,500 ; 69,000 ; 72,000 ; 120,000 is the list of data above Q2 - the upper half of data. The median of this data is 69,000 - thus Q3 is 69,000.
Lastly, the interquartile range is Q3 - Q1 = 69,000 - 42,000 = 27,000.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
******************************************************************** The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
My Music Channel: http://www.youtube.com/seanemusicbut am I acoustic? 🤔🤔Wrath of Math2024-04-04 | Finally answering the big question about me. Am I acoustic? 🤔 #mathshorts #mathmemes #tetris
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured10 Hours of AP Calc AB/BC FRQs (to fall asleep to)Wrath of Math2024-04-03 | 10 hours of AP Calc AB review and AP Calc BC review. We go over 55 AP Calc AB/BC FRQ problems and their complete solutions. Organized by topic. Pro tip: problem numbers above 2 (as in: 3 to 6) generally do not allow calculators.
0:00 Intro 1:53 Graph Analysis Problems 2:23 2010 AP Calc AB FRQ 5 17:44 2016 AP Calc AB FRQ 3 28:07 2017 AP Calc AB FRQ 6 39:45 Continuity Problems 40:10 2003 AP Calc AB FRQ 6 51:07 2011 B AP Calc AB FRQ 2 59:55 2012 AP Calc FRQ 4 1:13:16 IVT and MVT Problems 1:14:01 2006 B AP Calc AB FRQ 6 1:24:59 2011 AP Calc AB FRQ 1 1:35:35 2013 AP Calc AB FRQ 3 1:44:25 Linear Motion Problems 1:45:09 2011 AP Calc AB FRQ 1 1:57:43 2013 AP Calc AB FRQ 2 2:05:26 2021 AP Calc AB FRQ 2 2:16:43 2022 AP Calc AB FRQ6 2:25:30 Implicit Differentiation Problems 2:26:06 1999 AP Calc AB FRQ 6 2:38:21 2000 AP Calc AB FRQ 5 2:53:29 2001 AP Calc AB FRQ 6 3:00:00 Related Rates Problems 3:00:31 2002 B AP Calc AB FRQ 6 3:08:34 2003 AP Calc AB FRQ 5 3:16:49 2005 B AP Calc AB FRQ 5 3:25:50 Extreme Value and Concavity Problems 3:26:41 1998 AP Calc AB FRQ 2 3:41:57 1999 AP Calc AB FRQ 4 3:50:29 2008 AP Calc AB FRQ 6 4:02:25 2008 B AP Calc AB FRQ 5 4:13:41 Tables and Riemann Sum Problems 4:14:11 1998 AP Calc AB FRQ 3 4:23:20 2005 AP Calc AB FRQ 3 4:37:12 2007 AP Calc AB FRQ 3 4:49:53 2014 AP Calc AB FRQ 5 5:00:34 Rates and Accumulation Problems 5:00:58 2013 AP Calc AB FRQ 1 5:14:08 2016 AP Calc AB FRQ 1 5:25:46 2022 AP Calc AB FRQ 1 5:37:15 Area and Volume Integral Problems 5:37:42 1998 AP Calc AB FRQ 1 5:51:08 2002 AP Calc AB FRQ 1 6:01:35 2004 AP Calc AB FRQ 2 6:13:19 2019 AP Calc AB FRQ 5 6:24:01 Differential Equations Problems 6:24:32 2006 AP Calc AB FRQ 5 6:36:29 2015 AP Calc AB FRQ 4 6:45:48 2023 AP Calc AB FRQ 3 6:57:46 BC Series Problems 6:58:13 2001 AP Calc BC FRQ 6 7:10:51 2002 B AP Calc BC FRQ 6 7:18:09 2016 AP Calc BC FRQ 6 7:35:01 2022 AP Calc BC FRQ 6 7:48:24 BC Polar Coordinate Problems 7:48:50 2009 AP Calc BC FRQ 4 8:09:00 2013 AP Calc BC FRQ 2 8:11:07 2018 AP Calc BC FRQ 5 8:23:26 BC Parametric Equations and Vector Problems 8:23:50 2002 B AP Calc BC FRQ 1 8:35:26 2012 AP Calc BC FRQ 2 8:46:46 2016 AP Calc BC FRQ 2 8:57:46 BC Euler's Method Problems 8:58:07 1998 AP Calc BC FRQ 4 9:09:20 1999 AP Calc BC FRQ 6 9:20:29 BC Improper Integral Problems 9:20:46 2004 B AP Calc BC FRQ 5 9:29:15 2017 AP Calc BC FRQ 5 9:41:53 BC Lagrange Error Bound Problems 9:42:10 2004 AP Calc BC FRQ 2 9:51:13 2011 AP Calc BC FRQ 6 10:06:29 BC Arc Length Problems 10:06:49 2008 AP Calc BC FRQ 4 10:13:22 2011 B AP Calc BC FRQ 4 10:22:50 Thank You
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredFind Standard Matrix for Linear Transformation | Linear Algebra ExercisesWrath of Math2024-04-02 | We go over examples of how to find the standard matrix for a given linear transformation, which is equivalent to a matrix transformation. This process is straightforward and requires consideration of the images of the standard basis vectors from our domain to codomain of the transformation. #linearalgebra
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredMemorization Trick for Graphing Functions - Algebra Math Hack!Wrath of Math2024-04-01 | Awesome memorization trick for graphing the Gary function #mathshortstricks #mathshorts #shorts #math #school
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredIdentify Elementary Matrices | Linear Algebra ExercisesWrath of Math2024-03-31 | We determine if matrices are elementary or not by determining if they could be obtained from the identity matrix by performing a single elementary row operation.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredConstruct and Interpret 95% Confidence Interval for Population Mean | Statistics ExercisesWrath of Math2024-03-30 | We calculate and interpret a 95% confidence interval for the mean healing rate in a sample of newts. Biologists studying the healing of skin wounds measured the rate at which new cells closed a cut made in the skin of an anesthetized newt. We will be given data from a random sample of 18 newts and use it to construct our confidence interval by finding the appropriate t value and calculating the standard error. #apstats #statistics
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredInverse Matrix by Gauss-Jordan Elimination | Linear AlgebraWrath of Math2024-03-29 | We introduce a simple inverse matrix algorithm. We find an inverse matrix using Gauss Jordan elimination. By converting a matrix to its reduced row echelon form, we can simultaneously convert an identity matrix into the inverse. We will use an augmented matrix and a sequence of elementary row operations to perform this process. We also see an example of applying this algorithm to a non-invertible matrix. #linearalgebra
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredA Cute Collection of AreasWrath of Math2024-03-21 | We solve a geometry problem from the Mu Alpha Theta math competition. We have an isosceles right triangle, a semicircle, and a quarter circle, and we must find the area of a particular shaded region in this figure. We will do this using some basic geometry and reasoning. #mathcompetition #mathproblems #mathchallenge
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredA Guide to Margin of Error in Confidence Intervals | Statistics ExercisesWrath of Math2024-03-18 | We define margin of error and see how to calculate a margin of error for a confidence interval for a population proportion (one sample z interval), a margin of error for a difference in population proportions (two sample z interval), a margin of error for a population mean (one sample t interval), and a margin of error for a difference in population means (two sample t interval). In each case we will find the critical value and the standard error. We also see what things affect the size of the margin of error, and see how to determine a sample size that will guarantee a desired margin of error. #apstats #statistics
Verifying Conditions for Confidence Intervals: (coming soon) How to Find Z-Score Critical Value from Confidence Level: youtu.be/XXdCRIb3EXk
0:00 Intro 1:18 Margin of Error Definition 2:46 Interpretation 5:54 Anatomy of a Confidence Interval 8:10 Changing Confidence Level Changes Margin of Error 14:15 How to Change Margin of Error 15:47 Confidence Interval for Mean 21:26 Find Sample Size from Margin of Error 25:15 Confidence Interval for Difference in Proportions 29:17 Confidence Interval for Difference in Means 34:18 Conclusion
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredthe LEAST popular way to write piWrath of Math2024-03-17 | How do you write the constant pi? In this video I go over a recent poll I did, and the results of the 3000 responses. Including a top secret, very ugly and very unpopular way to write pi. #piday #pi #maths
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredRapping 17,000 Digits of PiWrath of Math2024-03-14 | Celebrating π day by rapping 17,000 digits of pi! Or, to be exact, rapping pi to 16,938 digits. AI generated subtitles, apologies in advance for errors in its transcription and errors in my rapping. Go have a pie and relax. #piday #mathmemes #maths #mathsongs
Points of Interest, as Determined by a Team of Experts 0:00 Begin 2:50 Accidentally say "Uh" 4:10 More Accidental Rap-isms 4:27 999999 4:57 ONE 5:42 Accidental Uh 2 6:13 Sing Along! 7:26 Blood Curdling Screaming 8:05 Seven 9:15 VIBIN' 9:41 SEVEEEEEEEN 11:13 Catch the Beat 12:30 Zero 17:28 One, Two, Three! 18:20 FIVE 18:49 Cute Flow 21:34 Singy Songy 21:57 Flow Recovery 25:03 Feelin' this Jam 27:05 Childish Rhythm 29:15 ONE 31:28 Six Six Six 33:02 Most Disappointing Beat Drop of All Time 35:44 Gotta Blast! 38:12 Laid Back 38:55 Happy Vibes 40:38 FAVORITE TRACK 41:04 Recovery into Melody 44:02 Softly Singing Pi to You 47:34 Singing Pi Not as Softly 48:48 Losing my Voice from all the Screaming 49:24 Singing Through the Pain 50:22 First Falsetto 55:50 Second Falsetto 56:39 Abrupt Stop 1:05:03 It's Going to Be Okay 1:07:56 FOUR 1:14:04 mY VoIcE 1:15:23 Nice 1:18:02 Third Falsetto 1:18:46 Still Yelling 1:20:52 nniiccee 1:21:26 Bungle-palooza 1:25:26 Voice Crack into Falsetto 1:27:50 Holiday Vibing 1:28:12 First Attempt at Jingle Bells 1:29:27 Beats Dissappears When I'm About to Rock 1:31:17 Spicy Beat Dropout 1:34:16 Beat Countdown 1:35:02 Sing Along! 1:37:26 Ho, Ho, Ho! 1:37:55 Jingle Bells Attempt 2 1:38:51 FEELIN' IT 1:41:03 Camera Death
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredAn Easy Triangle Problem from the AHSMEWrath of Math2024-03-08 | We solve a geometry problem from the American High School Mathematics Exam. This high school math competition problem gives us a triangle and two lines cutting it parallel to the base in a unique way. We have lots of info to work with and will use triangle similarity to find the length of the longer of the two lines. In particular we take advantage of the ratio of the areas of two similar triangles. #mathcompetition #mathproblems #mathchallenge
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredA Tricky Factorization for Math Competition ProblemWrath of Math2024-03-07 | We solve a math competition problem from the Mu Alpha Theta math competition. It asks us to evaluate a sum of reciprocals of sums of cube roots. We will evaluate this messy sum by considering the factorization of a difference of cubes. Patterns emerge and solutions follow. #mathcompetition #mathchallenge
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredFind the Scale Factor of a Dilation | Pre-Algebra ExercisesWrath of Math2024-03-06 | The scale factor of a dilated image is the number we need to multiply the original coordinates by to transform it to the new coordinates. For example, under a scale factor of 2, the point (1, 3) would be transformed to the point (2, 6). We solve two example problems of finding the scale factor of a dilated figure. #prealgebra
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredVector Subspaces and Subspace Test Explained | Linear AlgebraWrath of Math2024-03-05 | If V is a vector space and W is a subset of V, then W may itself be a vector space and if so is called a subspace, or linear subspace, of the vector space V. We introduce the definition of a vector subspace, the subspace test, see a proof of the subspace test, and then we'll look at several examples of subspaces and non-examples of subspaces in R^2, R^3, Mnn and more. #linearalgebra
0:00 Intro 0:38 Definition of a Vector Subspace 2:23 Nontrivial Subspace Properties 4:10 Subspace Test 7:38 Trivial Subspaces 9:04 Subspaces of R^2 and R^3 11:08 Non-Examples of Subspaces in R^2 and R^3 12:29 Subspaces of Square Matrices 13:50 Non-Examples of Subspaces of Square Matrices 14:27 Conclusion
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredFind the Last Digit of 42^42Wrath of Math2024-03-04 | We use modular congruence, the binomial theorem, and exponent rules to find the units digit of the massive number 42^42. #mathproblems #mathcompetition #mathchallenge
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredAn Easy Number Theory ProblemWrath of Math2024-03-01 | We find the smallest number N such that N/2 is a perfect cube, N/5 is a perfect square, and N/3^3 is an integer. We solve this problem by writing N as a product of prime factors and then impose the necessary restrictions to find the exponents of these factors. #mathproblems #mathcompetition #mathchallenge
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredYoull Never Guess the Last 2 DigitsWrath of Math2024-02-29 | We find the last two digits of 11^111 using modular arithmetic and some simple computational tricks. Calculating 11^111 is obviously not something we want to do, but calculating 11^111 mod 100 by hand is a cinch! #mathproblems #mathchallenge #mathpuzzle
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredHow close must the dots be?Wrath of Math2024-02-28 | Five points are placed randomly in (or on) an equilateral triangle with perimeter 3. What is the probability that two of the dots are within 0.5 units of each other? We solve this geometry problem using the medians of a triangle and the pigeonhole principle; no probability theory required! #mathproblems #mathpuzzle #maths
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredA Number Theory Problem from the Indian Math OlympiadWrath of Math2024-02-27 | A nice number theory problem from the Regional Math Olympiad (RMO). We are asked to find the remainder when 2^1990 is divided by 1990. We will use Fermat's Little theorem, the binomial theorem, and some modular arithmetic to reduce these powers to some more manageable things and find the remainder. #mathproblems #mathpuzzle #numbertheory
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredare you making this calc mistake?Wrath of Math2024-02-26 | Indeterminate form is calculus-speak for you have more work to do. In other words, all of these limits DO exist. #calculus1 #apcalculus #mathshorts #mathmemes
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredA Nice Russian Olympiad Problem with Deleting DigitsWrath of Math2024-02-26 | A Russian math olympiad problem asks us to find all integers with the property that when the last digit is deleted, the integer is divisible by that new number. We will find all solutions using the division algorithm and putting together a handful of constraints. This problem is from the USSR Math Olympiad problem book. #mathproblems #mathpuzzle #matholympiad
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
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My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredA Quick Area ProblemWrath of Math2024-02-25 | We have a circle and a square with two vertices on the circle, and the other two vertices joined by a side tangent to the circle. We are asked to find the ratio of the area of the circle to the area of the square. We will do this using a right triangle formed by bisecting a chord of the circle and then using the pythagorean theorem and some algebra. #mathproblems #mathpuzzle #geometryproblems
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredA Nice Number Theory Problem (ft Sophie Germains Identity)Wrath of Math2024-02-24 | We solve a nice number theory problem asking for what positive integer values of n n^4 + 4 is prime. We will use Sophie Germain's identity to factor the expression and arrive quickly at an answer. #numbertheory #mathcompetition #mathproblems #mathchallenge
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredUse Table to find p-Value from z-Test Statistic | Statistics ExercisesWrath of Math2024-02-23 | We solve an example using a z table to estimate the p-value for a two tailed z-test for sample proportions. We are given the z-test statistic and will consult the table to find the p-value and make a conclusion regarding the null hypothesis. We also assume the conditions for conducting the hypothesis test (conditions for inference) are satisfied. #apstats #statistics
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredThe Triangle Speaks to UsWrath of Math2024-02-22 | We find the radius of a circle using only the sides of an inscribed triangle. If we have a triangle and draw a circle passing through its vertices, that triangle is said to be inscribed in the circle, and the circle is called a circumcircle and is said to circumscribe the triangle. We will find its radius using Heron's formula and the extended law of sines. #mathpuzzle #mathproblems #mathcompetition
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredHow many zeroes are at the end of 100! ?Wrath of Math2024-02-21 | 100 factorial is a massively big number with a lot of trailing zeroes. Just how many zeroes are there at the end of 100!? We will find this out by counting factors of 2 and 5 in 100!, and pairing them up to form factors of 10. Each factor of 10 gives an additional zero at the end of 100!. #mathproblems #mathchallenge #mathpuzzle #maths
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredWhich is bigger? A hard 6th grade math problem!Wrath of Math2024-02-20 | Which fraction is bigger - 3997/4001 or 4996/5001? These two fractions are very close together, as we'll see they differ by only a thousandth. We use some basic algebra on an inequality to determine which fraction is bigger without doing any difficult math computations. This problem comes from Ben Orlin: instagram.com/mathwithbaddrawings who wrote it way back when for his sixth grade class. #mathproblems #mathpuzzle #maths
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Mathematical bad boy homie I'm straight rotten Catch me splitting a fraction across the terms in the bottom It's definite that you ain't gonna catch and bust me Write an indefinite integral with no plus C Trust me I enact evil I done prepared The square of the sum is the sum of the squares opened up the gates of hell after I closed heaven Root of evil - root 2 - pi is 22 sevenths I'm at a circle of devils pickin' a name for my function We decided x, and f is what we'll plug in I'm not buggin yo it's the wickedest tricks 111 times 2 to the 3's six six six Frostbitten flows you know there's nothing cooler top two mathematicians are Fermat and Euler We vexxed in here curses - I can survive 3x plus 2 that's x times 5 It's all like terms where I'm from it's all darkness I gives mics burns from the moment I start this My numbers vampiric 1260 out the tomb Last time I used a calculator was for my angle out the womb
We ain't going nowhere We ain't going nowhere We can't be stoppe now We bad math boys for life!
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredFind Mean with Percentile and Standard Deviation | Statistics ExercisesWrath of Math2024-02-19 | We go over how to find the mean of a distribution given a data value, its percentile, and the standard deviation of the distribution. This requires looking up the percentile in the z-score table and then using the corresponding z score in the z score equation in order to solve for the mean. #Statistics #APStatistics
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Mathematical bad boy homie I'm straight rotten Catch me splitting a fraction across the terms in the bottom It's definite that you ain't gonna catch and bust me Write an indefinite integral with no plus C Trust me I enact evil I done prepared The square of the sum is the sum of the squares opened up the gates of hell after I closed heaven Root of evil - root 2 - pi is 22 sevenths I'm at a circle of devils pickin' a name for my function We decided x, and f is what we'll plug in I'm not buggin yo it's the wickedest tricks 111 times 2 to the 3's six six six Frostbitten flows you know there's nothing cooler top two mathematicians are Fermat and Euler We vexxed in here curses - I can survive 3x plus 2 that's x times 5 It's all like terms where I'm from it's all darkness I gives mics burns from the moment I start this My numbers vampiric 1260 out the tomb Last time I used a calculator was for my angle out the womb
We ain't going nowhere We ain't going nowhere We can't be stoppe now We bad math boys for life!
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredThe Inverse of sin is...Wrath of Math2024-02-17 | This is a Pre-Algebra Book for Christians by Hal C. Oberholzer II. It is filled with beautiful full page spreads of biblical portraits and stories. #mathbook #mathmemes #mathshorts
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredHow to Find Z Score from Confidence Level with Normal Distribution | Statistics ExercisesWrath of Math2024-02-16 | We go over how to find the critical value (z score or z* value) from a normal distribution when given a confidence level for a z-interval. We'll use a 95% confidence interval, a 99% confidence interval, and a 90% confidence interval for our examples. #apstats #statistics
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredI GUARANTEE youve played this gameWrath of Math2024-02-16 | Math games are a lot of fun! In this simple game, two players take turns choosing numbers from 1 to 9 with the goal of picking some combination of numbers that add to 15. But it turns out this is a very very familiar game! #mathshorts #mathgames #math
Credit to Ben Orlin and his wonderful book "Math Games with Bad Drawings" for this video!
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featureda hard puzzle - can you make 10 with these digits?Wrath of Math2024-02-15 | A fun little math puzzle - can you use the digits 1, 1, 5, and 8 exactly once to write an expression equal to 10 using only basic operations? #mathpuzzle #mathproblems #mathshorts
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featuredFinding the Inverse of a 2x2 Matrix | Linear AlgebraWrath of Math2024-02-15 | A 2x2 matrix is invertible if its determinant ad-bc is nonzero. In this case, the inverse is found by multiplying the reciprocal of the determinant by the original matrix with its main diagonal reflected and its counter diagonal negated. We'll do two examples of finding the inverse of a 2x2 matrix. #linearalgebra
Proving the Inverse of a 2x2 Matrix Formula: (coming soon)
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.