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Chapter 1: Q 102. (page 73)

Which of the distributions shown has a larger standard deviation? Justify your answer.

Short Answer

Expert verified

The graph of a variable will have a higher standard deviation.

Step by step solution

01

Given information

Standard deviation defines the measurement of mean data in the data sheet.

02

Concept

A histogram is a graphing tool that is often used. It's used to summarise data that's either discrete or continuous and measured on an interval scale. It's commonly used to demonstrate the key aspects of data distribution in a user-friendly manner.

03

Explanation

The bigger the standard deviation, the more values that depart from the mean. The mean of the histogram is generally in the (horizontal) middle. Because the bars to the left and right in variable A's histogram are higher than in variable B's, the graph of variable A will have a bigger standard deviation. This shows that more values deviate from the mean for variable A.

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