Question

Use the data to make a frequency table and a histogram.

$9,15,\text{2},\text{4,9,11,10,1,18,4,9,2,8,7,4,11,10,9,16,5}$

Short answer

The frequency table and the histogram are as follows:

Intervals	Frequency
$0-4$	3
$4-8$	5
$8-12$	8
$12-16$	1
$16-20$	1

Step-by-step solution

Step 1. Given Information.

The provided numbers are,

$9,15,\text{2},\text{4,9,11,10,1,18,4,9,2,8,7,4,11,10,9,16,5}$

Step 2. Frequency Table.

Make intervals of equal size for the provided data. Record the interval in which a particular data value lies by using the tally marks. For each interval, count the number of tally marks and write the frequency.

Intervals	Tally Marks	Frequency
$\mathbf{0}\mathbf{-}\mathbf{4}$	$$" width="9">|||	3
$4-8$	$\cancel{\left|\right|\left|\right|}$	5
$8-12$	$\cancel{\left|\right|\left|\right|}\left|\right||$	8
$12-16$	$|$	1
$16-20$	$|$	1

Step 3. Histogram.

Draw the horizontal and vertical axes. Label the intervals on the horizontal axis and the frequencies on the vertical axis.

Construct a bar to show the frequency of each interval.

Step 3. Conclusion.

The frequency table and the histogram are as follows:

Intervals	Frequency
$0-4$	3
$4-8$	5
$8-12$	8
$12-16$	1
$16-20$	1