Use z scores to compare the given values. the tallest living man at one time had a height of 233 cm. the shortest living man at that time had a height of 91.4 cm. heights of men at that time had a mean of 174.45 cm and a standard deviation of 6.36 cm. which of these two men had the height that was more extreme?

The man with the more extreme height is the man with 91.4 cm.

Explanation:

We have two values: 233 cm and 91.4 cm. The z score for every value is calculated as:

Where x is the given value, m is the mean and s is the standard deviation. So, the z score for every height is:

For 233 cm:

For 91.4 cm:

Then, the more extreme value is 91.4 cm because the z score has the highest absolute value. This is:

For 233 cm

absolute z = 9.2059

For 91.4 cm

absolute z = 13.0582

Finally, The man with the more extreme height is the man with 91.4 cm.

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