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Chapter 3: Q. 3.199 (page 147)

Heights of Basketball Players. In Section 3.2, we analyzed the heights of the starting five players on each of two men's college basketball teams. The heights, in inches, of the players on Team II are 67,72,76,76,and84.Regarding the five players as a population. solve the following problems.

a. Compute the population mean height, 渭

b. Compute the population standard deviation of the heights,蟽

Short Answer

Expert verified

Part (a):

The population mean height is 75inches.

Part (b):

The population standard deviation of the heught is 5.6inches.

Step by step solution

01

Step 1. Given information is: 

The heights, in inches, of the players on Team II are67,72,76,76,and84.

02

Part (a) Step 1. Calculating Mean Height

As we know,

渭=鈭�xiN=67+72+76+76+845=3755=75

Thus, the population mean height is75inches.

03

Part (b) Step 1. Calculating Standard Deviation 

The formula for population standard deviation is:

蟽=鈭�xi-x2N

Obtain 鈭�xi-x2

xxi-x
xi-x2
67-864
72-39
7611
7611
84981


鈭�xi-x2=156

role="math" localid="1652451811681" 蟽=1565=5.6

Thus, the population standard deviation of the heught is 5.6inches.

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