Z-Scores and Percentiles: Crash Course Statistics #18
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Date: 2022-04-04
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Comments and reviews: 10
Urban
The sports analogy might be flawed. The NFL and NBA (and many other sports) have clearly changed their rules since the 1980s to please fans who love offense and increase television ratings and make more money. Many players from other decades would put up huge numbers against the helpless defenses of today. In addition, in the NBA (even up to the 1990s) players would often get called for -palming- if they put their hands to the side of the ball when dribbling. Thus, the crossover dribble which benefits the offense was pretty rare. In addition, the various balls for different sports and technology have improved over the years in sports. In golf, the balls are so round now the players rarely bogey anymore. These modern numbers are pretty -padded- compared to older numbers.
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The sports analogy might be flawed. The NFL and NBA (and many other sports) have clearly changed their rules since the 1980s to please fans who love offense and increase television ratings and make more money. Many players from other decades would put up huge numbers against the helpless defenses of today. In addition, in the NBA (even up to the 1990s) players would often get called for -palming- if they put their hands to the side of the ball when dribbling. Thus, the crossover dribble which benefits the offense was pretty rare. In addition, the various balls for different sports and technology have improved over the years in sports. In golf, the balls are so round now the players rarely bogey anymore. These modern numbers are pretty -padded- compared to older numbers.
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Julien
Many different examples, NONE of those had any reason to be described by a normal distribution!
When statistics are applied to science it's most of the time Gaussian, because we're aiming for reproducibility and therefore averaging independent draws from the same distribution (in which case the Central Limit Theorem applies. Then z-score makes sense. But there's nothing like this in those examples (in a university entrance exam for instance every student is just a different individual, and using p-values would give terrible results.
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Many different examples, NONE of those had any reason to be described by a normal distribution!
When statistics are applied to science it's most of the time Gaussian, because we're aiming for reproducibility and therefore averaging independent draws from the same distribution (in which case the Central Limit Theorem applies. Then z-score makes sense. But there's nothing like this in those examples (in a university entrance exam for instance every student is just a different individual, and using p-values would give terrible results.
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Andy
I'm just watching this video now, so I'm a little late. But the most dominant player in their sport of all time is almost certainly Esther Vergeer, a wheelchair tennis player who retired on a 10-year, 470-match win streak. Her career singles record was 695-25 for a win percentage of 96. 5% (by comparison, Roger Federer's career win percentage is about 82%. I can't think of anybody that even comes close to that level of dominance in their sport, but a possible runner-up would be the pair of Kerri Walsh and Misty May-Treanor in volleyball.
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I'm just watching this video now, so I'm a little late. But the most dominant player in their sport of all time is almost certainly Esther Vergeer, a wheelchair tennis player who retired on a 10-year, 470-match win streak. Her career singles record was 695-25 for a win percentage of 96. 5% (by comparison, Roger Federer's career win percentage is about 82%. I can't think of anybody that even comes close to that level of dominance in their sport, but a possible runner-up would be the pair of Kerri Walsh and Misty May-Treanor in volleyball.
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Tony
In the Z-value example for ACT and SAT, she picks the value for 0 by taking the mean of the scale of the scores.
She gets the mean for the SAT by taking the midpoint between 1600 and 400, i. e, 1000.
And the mean for the ACT by taking its midpoint between 36 and 6, 21.
But that's not necessarily the population mean. To calculate the Z-score, she should start with the population mean.
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In the Z-value example for ACT and SAT, she picks the value for 0 by taking the mean of the scale of the scores.
She gets the mean for the SAT by taking the midpoint between 1600 and 400, i. e, 1000.
And the mean for the ACT by taking its midpoint between 36 and 6, 21.
But that's not necessarily the population mean. To calculate the Z-score, she should start with the population mean.
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Ashish
I saw many videos on Z score, but none were close this this one in explaining why in the world do we use Z scores. Most other videos concentrate more on calculations and formula rather than how Z score can be used in real world. After watching this video my understanding is much better on the uses of Z scores.
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I saw many videos on Z score, but none were close this this one in explaining why in the world do we use Z scores. Most other videos concentrate more on calculations and formula rather than how Z score can be used in real world. After watching this video my understanding is much better on the uses of Z scores.
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Jed
Crash course makes a mockery of the UK educational system. In each 10 minute video, I swear I learn more than in an hour-long class, with all its cutting and sticking and dithering about. Thanks Adrienne Hill, another great vid with a great presenter.
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Crash course makes a mockery of the UK educational system. In each 10 minute video, I swear I learn more than in an hour-long class, with all its cutting and sticking and dithering about. Thanks Adrienne Hill, another great vid with a great presenter.
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Skylos
I win a goat! How, might you ask, do I know the goat is so light? Well, it was on her scale, and it didn't even move perceptibly! This is a smol goat and will be good for trimming my wheat grass.
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I win a goat! How, might you ask, do I know the goat is so light? Well, it was on her scale, and it didn't even move perceptibly! This is a smol goat and will be good for trimming my wheat grass.
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SBomb
The greatest athlete in their respective sport was me in high school playing basketball at my nephew-s preschool. I averaged 100% of the points per game and won every game
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The greatest athlete in their respective sport was me in high school playing basketball at my nephew-s preschool. I averaged 100% of the points per game and won every game
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brittany
she had so many opportunities to say apples to oranges, but she said apples and then said grapefruit. that broke my heart --love these vids tho
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she had so many opportunities to say apples to oranges, but she said apples and then said grapefruit. that broke my heart --love these vids tho
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Jared
Recommendation to all: If you want to have an enjoyable senior year of HS, don't take AP Stats. It will slowly kill you. Midterm in 2 hours!
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Recommendation to all: If you want to have an enjoyable senior year of HS, don't take AP Stats. It will slowly kill you. Midterm in 2 hours!
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