Chapter 13.1, Problem 21E

To determine

To construct: Frequency distribution and a histogram of the given data.

Explanation of Solution

Given information:

The data representing the amounts (in dollars) that $35$ employees contribute to their personal retirement plans is given:

  $\begin{array}{l}100,200,130,136,161,156,209,126,135,98,114,\\ 117,168,133,140,124,172,127,143,157,124,\\ 152,104,126,155,92,194,115,120,136,148,112,\\ 116,146,96.\end{array}$

Frequency distribution:

The minimum amount is $\$92$ and the maximum amount is $\$209$ . Starting with $75$ and ending with $225$ and using $6$ intervals from $75to225$ , the frequency distribution is:

  

Histogram:

Let horizontal axis represents the intervals of retirement contribution (in dollars) and vertical axis represents the number of employees. Drawing a vertical bar (having height as the total tally) corresponding to each interval, the histogram is: