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Chapter 1: Q 3.2. (page 39)

Many people believe that the distribution of IQ scores follows a “bell curve,” like the one shown in the margin. But is this really how such scores are distributed? The IQ scores of 60 fifth-grade students chosen at random from one school are shown below.

Describe what you see. Is the distribution bell-shaped?

Short Answer

Expert verified

Yes, It is bell shaped.

Step by step solution

01

Given information

Below are the IQ scores of 60 fifth-grade students chosen at random from one school.

14513912612212513096110118118
10114213412411210913411381113
12394100136109131117110127124
106124115133116102127117109137
117901031141391011221059789
10210811012811411211410282101
02

Concept

Shape: The peak of the dot plot is at This means that during that season, the team's most common number of goals scored in games (known as the mode) was The United States women's soccer team scored between one and five goals in the majority of its games. The distribution, however, has a large tail to the right.

03

Explanation

Graph:

For the given distribution of IQ scores, a histogram could be constructed as follows:

The above-constructed histogram is bell-shaped. Thus, it implies that the distribution is approximately normal.

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