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Chapter 2: Q 3.1. (page 97)

Suppose that you convert the class鈥檚 heights from inches to centimeters (1inch=2.54cm). Describe the effect this will have on the shape, center, and spread of the distribution.

Short Answer

Expert verified

Centre and spread are affected but shape would not be changed

Step by step solution

01

Step 1. Given

02

Step 2. Concept

The following Minitab computer output validates the outcome: When each observation in distribution is standardized, the resultant set of z-scores has a mean of 0 and a standard deviation of 1

03

Step 3. Explanation

The change in height was from 1 inch to 2.54 centimeters. Height was modified from one centimeter to 2.54 inches based on the information provided. Multiplication has an effect on the center and spread, therefore spread and center would be multiplied by 2.54. The form would not be altered.

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