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Answer :
Final answer:
Earl's height, when converted to a z-score, equals 2.86. This means that his height is approximately 2.86 standard deviations above the mean height of the group of men.
Explanation:
To calculate Earl's height in terms of z-score, we'd need to know how many standard deviations away Earl's height is from the mean height of the group. The formula used to calculate a z-score is:
Z = (X - μ) / σ
Where:
- Z is the z-score,
- X is the value to be standardized (in this case, Earl’s height),
- μ is the mean of the population (in this case, the average height),
- σ is the standard deviation of the population.
For Earl:
Z = (196 - 176) / 7 = 20/7 = 2.86
Hence, Earl's height is 2.86 standard deviations above the mean height.
Learn more about Z-Score here:
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