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Chapter 1: Q 3.4. (page 64)

The heights (in inches) of the five starters on a basketball team are67,72,76,76,and84.

Interpret the meaning of the standard deviation in the given setting.

Short Answer

Expert verified

The interpretation of standard deviation shows the difference between the height of starters and the average height of players in the team and the difference is 6.245.

Step by step solution

01

Given information

Given data :

The heights five starters are : 67,72,76,76,and84.

02

Concept

The formula to derive the Standard deviation is:s=Σ(x−x)2n-1x=Σxn

03

Calculation

The formula to compute the standard deviation is:

s=Σ(x−x)2n-1x=Σxn

The standard deviation is calculated using a Ti-83 calculator as follows:

Thus, the standard deviation is 6.245The standard deviation indicates that the difference in height between the starters and the average player is roughly 6.245

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