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Korvikt [17]
4 years ago
5

The tallest living man at one time had a height of 265 cm. The shortest living man at that time had a height of 109.1 cm. Height

s of men at that time had a mean of 173.73 cm and a standard deviation of 8.65 cm. Which of these two men had the height that was more​ extreme?
Mathematics
2 answers:
Archy [21]4 years ago
8 0

Answer:

tallest man height is more extreme.

Step-by-step explanation:

Given:

Heights of men at that time had a mean of 173.73 cm and a standard deviation of 8.65 cm.

Concept used:

Convert height into z scores for comparison of deviation from the mean.

Solution:

Tallest man height = 265 cm

Z_{tall} =\frac{265-173.73}{8.65} \\=10.55

Shortest man height = 109.1 cm

Z_{short} =\frac{109.1-173.73}{8.65} \\=-7.47

Thus we find that tallest man is 10.55 std deviations from the mean to the right and shortest man is 7.47 std deviations from the mean to the left.

Hence tallest man height is more extreme.

Svetradugi [14.3K]4 years ago
3 0

The tallest man had a more extreme height because he was over 10 standard deviations away from the mean, whereas the shortest man was only around 8-9 standard deviations away from the mean

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