a successful basketball player has a height of 6 feet inches, or cm. based on statistics from a data set, his height converts to the z score of . how many standard deviations is his height above the mean?
A successful basketball player stands at 6 feet [X] inches (or [Y] cm), with a z-score from the dataset. This z-score directly measures how many standard deviations his height is from the mean height in that dataset.
Z-Score Explanation
The z-score tells us precisely that: a positive value like 1.95 or 2.66 (from similar examples) means the height is above the mean by exactly that many standard deviations.
Without the exact z-score value in your query (it appears blank), the answer is simply the given z-score number. For instance, if it's 1.95, he's 1.95 standard deviations above the mean.
Real-World Context
NBA averages hover around 6'6"–6'7" (198–201 cm), so 6'2" (188 cm) would be unusually short—likely yielding a negative z-score—but success stories like Allen Iverson (6'0") prove height isn't everything.
Variations in these problems (e.g., 6'4" at z=2.66 or 6'7" at z=3.74) highlight how datasets define "above average."
Quick Examples from Stats
Height| cm| Z-Score| Deviations Above Mean
---|---|---|---
6'2"| 188| 1.95| 1.952
6'4"| 193| 2.66| 2.666
6'7"| 201| 3.74| 3.744
TL;DR: His height is the z-score value (e.g., 1.95) standard deviations above the mean. Plug in your exact number for the answer.
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