A **frequency table** is a table that shows how frequently values occur in specific ranges of a dataset.

A **histogram** is a type of chart that allows us to visualize the values in a frequency table.

The following step-by-step example shows how to make a histogram from a frequency table.

**Step 1: Create the Frequency Table**

Suppose we collect the following data that shows the exam scores of 20 students in some class:

**Scores**: 50, 58, 62, 65, 70, 71, 72, 74, 74, 78, 81, 82, 82, 85, 87, 88, 89, 92, 94, 96

We can create the following frequency table using a bin range of 10 to summarize the frequency of each range of scores:

**Step 2: Define the X-Axis of the Histogram**

Next, we’ll create the x-axis of the histogram so that it ranges from the lowest value in the lowest bin to the highest value in the highest bin, by increments of 10:

**Step 3: Add the Bars to the Histogram**

Lastly, we’ll add the bars to the histogram to represent the frequencies in each bin range:

The x-axis of the histogram displays bins of data values and the y-axis tells us how many observations in a dataset fall in each bin.

For example, we can see:

- A total of
**2**students scored between 50 and 59. - A total of
**2**students scored between 60 and 69. - A total of
**6**students scored between 70 and 79. - A total of
**7**students scored between 80 and 89. - A total of
**3**students scored between 90 and 99.

A histogram is also useful for answering questions about a distribution.

For example, **how many students scored less than 70 on the exam?**

To answer this, we can simply add up the total values in the first two bars of the histogram: 2 + 2 = 4.

A total of 4 students scored less than 70.

Or, perhaps we want to know **how many students scored 80 or higher on the exam?**

To answer this, we can simply add up the total values in the last two bars of the histogram: 7 + 3 = 10.

A total of 10 students scored 80 or higher.

We can answer even more questions like these ones by simply looking at the bars in the histogram.

**Additional Resources**

The following tutorials provide additional information about histograms:

How to Estimate the Mean and Median of Any Histogram

How to Find the Mode of a Histogram

How to Compare Histograms