Chapter 12.2, Problem 32PPE

To determine

To make: a histogram for a set of 200 data values.

Answer to Problem 32PPE

Explanation of Solution

Given:

The interval of the 200 data is $0-9,10-19,20-29,30-39,40-49$ in which $40\%$ of the data is lies between the interval $20-29$ .

Calculation:

According to the question, create the frequency table from the interval of the 200 data.

Now, in the interval $20-29$ , the total data contain is $40\%\text{ of }200=80$ .

And rest of the data is equally divided in the remaining interval.

Thus, the remaining each interval $0-9,10-19,30-39,40-49$ contains $\frac{200-80}{4}=30$ data.

Now, the frequency table of the required interval is:

Interval	Frequency
$0-9$	30
$10-19$	30
$20-29$	20
$30-39$	30
$40-49$	30

Draw and level the axes. Draw a bar to represent the frequency of each interval.

The histogram for the given data is: