Chapter 10.2, Problem 31E

Solution

a.

To describe: The shape of the distribution.

The shape of the distribution is Bimodal.

Given:

The histogram shows the sugar content (as a percent of weight) of 49 brands of breakfast cereals:

  

Calculation:

There are two peaks in the given histogram, one peak centered at about 5 and another peak centered about 45.

Conclusion:

The shape of the distribution is Bimodal.

b.

To describe: The reason for the shape of the histogram.

The cereals can be classified as low as well as high sugar content.

Given:

The salaries of the workers in one department of the Garcia Brothers Company (given in thousands of dollars) are as follows:

  $\begin{array}{l}\text{33}\text{.5, 35}\text{.3, 33}\text{.8, 29}\text{.3, 36}\text{.7, 32}\text{.8, 31}\text{.7, 36}\text{.3, 33}\text{.5, 28}\text{.2, 34}\text{.8, 33}\text{.5, 35}\text{.3,}\\ \text{29}\text{.7, 38}\text{.5, 32}\text{.7, 34}\text{.8, 34}\text{.2, 31}\text{.6, 35}\text{.4}\end{array}$

Calculation:

From part $\left(a\right)$ , the distribution is bimodal.

The two peaks originate from the fact that most cereals either have low sugar content(5%) or high sugar content(45%).

Thus, the cereals can be classified as low as well as high sugar content.

Conclusion:

The cereals can be classified as low as well as high sugar content.