Histogram Statistics Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

medium
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.

Solution

  1. 1
    Step 1: The horizontal axis shows score intervals (no gaps between bars, unlike a bar graph). The vertical axis shows frequency.
  2. 2
    Step 2: Draw adjacent bars with heights 4, 8, 12, 6, 2 for each interval.
  3. 3
    Step 3: The modal class (tallest bar) is 70–79 with frequency 12.

Answer

Modal class is 70–79. Bars are adjacent with no gaps.
Histograms display the distribution of continuous or grouped numerical data. Unlike bar graphs, the bars touch because the intervals are continuous. The shape reveals the distribution.

About Histogram

A histogram is a graph that groups numerical data into equal-width ranges (bins) and shows the frequency of values in each range using adjacent bars that touch. Unlike bar graphs, histograms display the distribution shape of continuous data.

Learn more about Histogram →

More Histogram Examples

Example 2 medium

A histogram of student heights shows bars: 140–149 cm (3), 150–159 cm (10), 160–169 cm (15), 170–179

Example 3 medium

Explain two differences between a histogram and a bar graph.

Example 4 medium

A histogram shows frequencies 0–9 (2), 10–19 (5), 20–29 (9), 30–39 (7), 40–49 (1). How many observat

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