How to Interpret Histogram? (+FREE Worksheet!)

Histograms represent the distribution of numerical data. Learn how to interpret and solve Math problems containing histograms.

What’s a Histogram?

Histograms are the graphical interpretation of information where information is grouped into constant amount ranges and each of those ranges relates to a vertical bar.

A horizontal axis shows the number range.
A vertical axis (frequency) signifies the quantity of information available for each range.

The number ranges are dependent upon the information being utilized. So, here’s more info regarding histograms.

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The method of creating histograms utilizing the provided info is shown here:

Step one: Pick an appropriate scale to designate weights on a horizontal axis.
Step two: Pick an appropriate scale to designate the frequencies on a vertical axis.
Step three: After that, make the bars consistent with each of these given weights by utilizing their occurrences.

Hints and Techniques on Histograms

Here are several vital hints and techniques you should remember while envisioning any information via histograms.

Pick the scale for the vertical axis whilst creating a histogram, make sure to check for the uppermost number that separates all frequencies. If there’s no such number existing, after that check for the utmost number which separates the majority of frequencies.
Histograms are graphs utilized to summarize constant information.
A histogram gives the visual interpretation of continuous data.
Scales of both the horizontal and vertical axes do not have to begin with zero.
There ought not to be any gaps between the bars of histograms.
To interpret histograms, check the height of each bar that shows how many fall into each range.

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Histograms – Example 1:

Use the following Graph to complete the table.

Solution: The graph you see above is a histogram. This chart gives you a brief overview of the distance traveled over different days. The horizontal axis represents the days traveled and the vertical axis represents the distance. The points marked on the graph indicate the distance traveled in each day, according to which you can complete the relevant table. Check the distance during each day from the graph and write it in the table below. For example, the distance for day \(1\) is \(378\) and for day \(2\) is \(480\).

Day	Distance (km)
1	378
2	480
3	285
4	436
5	370

Histograms – Example 2:

Use the following Graph to complete the table.

Solution: Check the distance during each day from the graph and write it in the table below.

Day	Distance (km)
1	359
2	460
3	278
4	547
5	360

Exercises for Solving Histograms

The following table shows the number of births in the US from \(2007\) to \(2012\) (in millions).

Answer these questions based on the data of the graph.

1- During what period the percent of change was zero?

2- During what period there was the biggest decrease in the number of births?

3- What was the percent of change from \(2008\) to \(2012\)?

Download Histograms Worksheet

1- \(\color{blue}{2011- 2012}\)

2- \(\color{blue}{2009 – 2010}\)

3- \(\color{blue}{7\% }\)

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What’s a Histogram?

The Ultimate Algebra Bundle From Pre-Algebra to Algebra II

Hints and Techniques on Histograms