Practice Histogram in Statistics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A graph that groups numerical data into ranges (bins) and shows the frequency of values in each range using bars that touch.

Unlike bar graphs for categories (red, blue, green), histograms are for numbers grouped into ranges. Test scores 60-70, 70-80, 80-90... The bars touch because the data is continuous - there's no gap between 69.9 and 70.0.

Example 1

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Test scores are grouped: 50–59 (4), 60–69 (8), 70–79 (12), 80–89 (6), 90–99 (2). Describe how to construct a histogram and identify the modal class.

Example 2

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A histogram of student heights shows bars: 140–149 cm (3), 150–159 cm (10), 160–169 cm (15), 170–179 cm (8), 180–189 cm (4). Describe the shape of the distribution.

Example 3

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Explain two differences between a histogram and a bar graph.

Example 4

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A histogram shows frequencies 0–9 (2), 10–19 (5), 20–29 (9), 30–39 (7), 40–49 (1). How many observations are at least 20, and what is the modal class?
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