Answer:
Explanation:
To determine which man had the more extreme height, we can calculate the z-scores for both individuals and compare their values. The z-score indicates how many standard deviations a particular value is from the mean.
For the tallest man with a height of 247 cm, we can calculate the z-score using the formula:
z = (x - μ) / σ
where x is the value (247 cm), μ is the mean (175.97 cm), and σ is the standard deviation (7.46 cm).
z = (247 - 175.97) / 7.46 ≈ 9.50
For the shortest man with a height of 122.8 cm, we can calculate the z-score using the same formula:
z = (x - μ) / σz = (122.8 - 175.97) / 7.46 ≈ -7.14
The z-score for the tallest man is approximately 9.50, and the z-score for the shortest man is approximately -7.14.
Since the z-score measures how many standard deviations a value is from the mean, the man with the z-score of 9.50 (the tallest man) has the more extreme height. A higher z-score indicates a more extreme deviation from the mean.