Mode Examples in Math
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 Math.
Concept Recap
The mode is the value or values that appear most frequently in a data set — it is the most common or most popular data value.
The mode is the "most popular" value — if you had to guess one number and wanted to be right as often as possible, pick the mode.
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: The mode is the only measure of center that applies to categorical data — you can have a mode for colors or names, but not a mean.
Common stuck point: A data set can have no mode (all values occur once), one mode, or multiple modes (bimodal, multimodal) — do not assume there is always exactly one.
Sense of Study hint: Tally how often each value appears. The value with the highest tally is the mode -- there may be more than one.
Worked Examples
Example 1
easySolution
- 1 List the data set and tally the frequency of each value: 2 \to 1, 4 \to 2, 5 \to 1, 7 \to 3, 9 \to 1.
- 2 Identify the value with the highest frequency: 7 appears 3 times, more than any other value.
- 3 Therefore, the mode is 7.
Answer
Example 2
mediumPractice Problems
Try these problems on your own first, then open the solution to compare your method.