Chapter 13.5, Problem 7PPS

(a)

To determine

To Find:Number of pair of shoes that cost $\$59.99$ or less.

Answer to Problem 7PPS

  $20$

Explanation of Solution

Given:The histogram shown below shows thecost of different shoes at the store.

  

ValumeHow many pair of shoes cost $\$59.99$ or less?

Pair of shoes cost $\$59.99$ or less is summation of number of shoes that has a range of $(\$40-\$49.99)$ and $(\$50-\$59.99)$

i.e.

  $\begin{array}{l}=12+8\\ =20\end{array}$

Hence, $20$ pair of shoes cost $\$59.99$ or less.

(b)

To determine

To Find:Percent of the shoes that cost $\$60$ or more.

Answer to Problem 7PPS

  $62.26\%$

Explanation of Solution

Given:The histogram shown below shows the cost of different shoes at the store.

  

About what percent of the shoes cost $\$60$ or more.

Total number of shoes

  $\begin{array}{l}12+8+16+10+7\\ =53\end{array}$

Thus

  $53$ Pair of shoes

Now,

Percent of the shoes cost $\$60$ or more is given by

  $\begin{array}{l}=\left[\frac{16}{53}+\frac{10}{53}+\frac{7}{53}\right]\times 100\%\\ =\frac{33}{53}\times 100\%\\ =62.26\%\end{array}$

(c)

To determine

To Find: What price is a pair of shoes most likely to cost?

Answer to Problem 7PPS

  $\$60-\$69.99$

Explanation of Solution

Given:The histogram shown below shows the cost of different shoes at the store.

  

The price range that has highest frequency is $\$60-\$69.99$

Hence

  $\$60-\$69.99$ is the price of pair of shoes that is mostly liked.