The height of player on a football team had a mean of 70 inches with a standard deviation of 4 inches. Rohan’s height is 63 inches. What is the Z-score for Jesse’s height? 1.88 -1.75 -1.85 0
Question
The height of player on a football team had a mean of 70 inches with a standard deviation of 4 inches. Rohan’s height is 63 inches. What is the Z-score for Jesse’s height? 1.88 -1.75 -1.85 0
Solution
The Z-score is a measure of how many standard deviations an element is from the mean. To find the Z-score for Rohan's height, we would use the formula:
Z = (X - μ) / σ
Where: X is the value we are comparing (Rohan's height), μ is the mean (average height of the football team), and σ is the standard deviation.
Substituting the given values into the formula:
Z = (63 - 70) / 4 = -7 / 4 = -1.75
So, the Z-score for Rohan's height is -1.75.
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