A particular group of men have heights with a mean of 172 cm and a standard devi

Question

A particular group of men have heights with a mean of

172

cm and a standard deviation of

8

cm.

JohnJohn

had a height of

191

cm.

a.a.

JohnJohn 's

b.b.

How many standard deviations is that [the difference found in part (a)]?

c.c.

JohnJohn 's

d.d.

minus2

JohnJohn 's

a.

The

positive difference between

JohnJohn 's

height and the mean is

191

cm.

The z score is

a.a.

What is the positive difference between

JohnJohn 's

height and the mean?

b.b.

How many standard deviations is that [the difference found in part (a)]?

c.c.

Convert

JohnJohn 's

height to a z score.

d.d.

If we consider "usual" heights to be those that convert to z scores between

minus2

and 2, is

JohnJohn 's

height usual or unusual?

Explanation / Answer

a) Positive difference between John's height and mean = 191 - 172 = 19

b) Number of standard deviations = 19/8 = 2.38

c) z score = 2.38

d) Yes, John's height is unusual because the z score is greater than 2.

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