Dot Plot Examples in Statistics

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Dot Plot.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Statistics.

Concept Recap

A dot plot is a statistical chart that displays the frequency of data values using dots stacked above a number line. Each dot represents one observation, making it easy to see clusters, gaps, and the overall shape of a distribution for small to medium datasets.

Like a line plot, but dots instead of X's. Each dot is one data point stacked above its value. The height of the stack shows frequency. Great for seeing clusters and gaps.

Read the full concept explanation →

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: A dot plot displays every individual data point as a dot stacked above its value on a number line, revealing clusters, gaps, and the overall shape of the distribution.

Common stuck point: Students sometimes merge two close values into one stack. Each dot must be placed precisely above its own value on the number line.

Sense of Study hint: When creating a dot plot, first draw a horizontal number line covering the full range of your data. Then for each data value, place one dot above that position on the line. Finally, examine the completed plot for clusters, gaps, peaks, and the overall shape of the distribution.

Worked Examples

Example 1

easy
The number of books students read last month: 0, 1, 2, 1, 3, 2, 1, 0, 2, 1, 4, 2. Create a dot plot and identify the mode.

Solution

  1. 1
    Step 1: List distinct values in order: 0, 1, 2, 3, 4.
  2. 2
    Step 2: Count frequencies: 0→2, 1→4, 2→4, 3→1, 4→1. Place dots above each value on a number line accordingly.
  3. 3
    Step 3: The mode is the value(s) with the highest frequency. Both 1 and 2 appear 4 times, so the data is bimodal with modes of 1 and 2.

Answer

Dot plot has 2 dots above 0, 4 above 1, 4 above 2, 1 above 3, 1 above 4. The data is bimodal with modes 1 and 2.
A dot plot displays each data point as a dot above a number line. Clusters of dots show where data concentrates, making it easy to identify the mode (most frequent value) and see the overall shape of the distribution.

Example 2

medium
Two dot plots show test scores for Class A (scores clustered tightly around 75) and Class B (scores spread from 50 to 100). Both have the same median of 75. Compare the two distributions.

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

medium
A dot plot shows ages of participants in a fun run: 20(3 dots), 25(5 dots), 30(8 dots), 35(6 dots), 40(4 dots), 45(2 dots), 50(1 dot). Describe the shape of the distribution and estimate the median age.

Example 2

hard
A dot plot shows the number of absences for 20 students: 0(6), 1(5), 2(4), 3(2), 4(1), 8(1), 10(1). Calculate the mean, identify any potential outliers, and explain how the outliers affect the mean compared to the median.
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Background Knowledge

These ideas may be useful before you work through the harder examples.

line plotfrequency