Mode Examples in Statistics

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

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

Concept Recap

The value that appears most often in a data set. A set can have no mode, one mode, or multiple modes.

The mode is the most popular value - the one that shows up the most. If 5 kids pick pizza, 3 pick tacos, and 2 pick burgers, pizza is the mode because it's the favorite.

Read the full concept explanation โ†’

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: The mode is the most frequently occurring value. It is the only measure of center that applies to non-numerical (categorical) data.

Common stuck point: A data set can have no mode (all values appear once), one mode, or multiple modes โ€” students often assume there must be exactly one.

Worked Examples

Example 1

easy
Find the mode of the data set: 4, 7, 2, 7, 3, 7, 5, 2.

Solution

  1. 1
    Step 1: List the data and tally the frequency of each distinct value: 2 appears 2 times, 3 once, 4 once, 5 once, 7 three times.
  2. 2
    Step 2: Compare frequencies to find the maximum: 7 appears 3 times, which is more than any other value.
  3. 3
    Step 3: The mode is the most frequent value: \text{mode} = 7.

Answer

The mode is 7.
The mode is the most frequently occurring value in a data set. It is the only measure of central tendency that can be used with categorical data.

Example 2

medium
A shoe shop records sizes sold in one day: 6, 7, 8, 7, 9, 8, 7, 10, 8, 6. Is this data unimodal, bimodal, or multimodal?

Practice Problems

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

Example 1

easy
Find the mode of: Red, Blue, Green, Blue, Red, Blue, Green, Yellow.

Example 2

easy
Find the mode or modes of the data set: 2, 4, 4, 6, 6, 8, 9.

Related Concepts

Background Knowledge

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

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