01 Key Concepts
Definition
The value (or values) that appear most often in a dataset.
Unimodal, Bimodal, Multimodal
Unimodal: one mode. Bimodal: two modes (two values tie for most frequent). Multimodal: more than two modes.
No Mode
If every value appears exactly once, the dataset has no mode.
Mode with Categorical Data
Unlike mean and median, the mode can be found for non-numeric data, like the most common eye color in a group.
Mode from a Frequency Table
Simply identify the category or value with the highest frequency count.
02 Solved Examples
Example 1 Find the mode of 2, 3, 3, 5, 7, 7, 7, 9.
- Count occurrences: 2 appears once, 3 appears twice, 5 appears once, 7 appears three times, 9 appears once.
- 7 appears most often.
Answer: Mode = 7
Example 2 Find the mode of 1, 2, 2, 3, 3, 4.
- 2 appears twice, 3 appears twice — a tie for most frequent.
- Both values tie, making this dataset bimodal.
Answer: Modes = 2 and 3 (bimodal)
Example 3 A survey of favorite fruit finds: Apple-12, Banana-20, Mango-15, Orange-8. Find the mode.
- Compare frequencies: 12, 20, 15, 8.
- Banana has the highest frequency.
Answer: Mode = Banana
03 Practice Questions
1Find the mode of 4, 4, 5, 6, 7.
4
2Find the mode of 1, 2, 3, 4, 5.
No mode, all values appear once
3Find the mode of 8, 8, 9, 9, 10.
8 and 9 (bimodal)
4Can the mode be used for categorical (non-numeric) data?
Yes
5Find the mode of 3, 3, 3, 3, 5.
3
📄 Mode — Downloadable Worksheet
10 questions with a full answer key. Grab the PDF to print, or try the interactive version in your browser.