Mode of grouped data
The mode of grouped data is the value that occurs most frequently, estimated using the modal class and a standard formula.
Practice This ConceptMain explanation
Teacher explanation
For grouped data, the exact most frequent value is not directly visible, so we estimate mode from the modal class. The formula uses the lower boundary of the modal class, the frequency of the modal class, and the frequencies of the class just before and just after it. This gives a practical estimate of the most common value.
Example
If the modal class is 20-30, the mode lies near that class and is calculated using the grouped-data mode formula.
Simple analogy
Mode lives near the tallest class, but the formula finds the exact estimate.
Common confusion
Students often use the frequency of the modal class as the mode itself, which is not correct for grouped data.
Exam tip
Always identify the modal class first, then use the three frequencies around it carefully in the formula.
Answer writing and exam use
1-mark use
Write the exact meaning of mode of grouped data in one clean line.
2-mark use
Define mode of grouped data and add one example or condition.
3-mark use
Explain mode of grouped data, show the method or example, and mention the common mistake.
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