A successful basketball player has a height of 6 feet 7 inches, or 201 cm. Based on statistics from a data set, his height converts to the z score of 3.74. How many standard deviations is his height above the mean?

Question

Mathematics

Theodore Dominguez

3 April, 06:22

A successful basketball player has a height of 6 feet 7 inches, or 201 cm. Based on statistics from a data set, his height converts to the z score of 3.74. How many standard deviations is his height above the mean?

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Abbigail Mendez · Answer 1

Solution: We have z score = 3.74.

It means, a basketball player's height is 3.74 standard deviation's above the mean.

Z score tells us how many standard deviations below or above the population mean a raw score is. For example if z score = - 2, it means the raw score is 2 standard deviations below the mean value. If z score = 2, it means the raw score is 2 standard deviations above the mean value.

Hence the basketball player's height (201 cm) is 3.74 standard deviation's above the mean.