# Frequency Histogram

How to make a frequency histogram from the given data and solve frequency histogram problems: examples and their solutions.

## Example 1

Draw the histogram axes like this.

Set the vertical axis

as the Frequency:

from 0 to 8.

And set the horizontal axis

as the Test Scores:

from 50-59 to 90-99.

The frequency of 50-59 is 2.

So draw a vertical bar in the histogram

whose height is 2.

The frequency of 60-69 is 3.

So draw a vertical bar

whose height is 3.

Draw the bar right next to the previous bar

so that there would be no space between the bars.

The frequency of 70-79 is 7.

So draw a vertical bar

whose height is 7.

Draw the bar right next to the previous bar.

The frequency of 80-89 is 6.

So draw a vertical bar

whose height is 6.

Draw the bar right next to the previous bar.

The frequency of 90-99 is 2.

So draw a vertical bar

whose height is 2.

Draw the bar right next to the previous bar.

So this histogram is the answer.

## Example 2

The heights of the bars

are the frequencies of the intervals.

So, to find the total number of students,

add the heights of the bars.

So the total number of students, *n*, is

3 + 6 + 7 + 4 + 1.

3 + 6 = 9

7 + 4 = 11

9 + 1 = 10

10 + 11 = 21

So 21 is the answer.