Median of grouped data
The median of grouped data is the middle value that divides the frequency distribution into two equal parts.
Practice This ConceptMain explanation
Teacher explanation
For grouped data, we first find the median class using cumulative frequency. Then we apply the median formula with lower boundary, total frequency, cumulative frequency before the median class, and class width. This gives the central value of the distribution.
Example
If the total frequency is 50, the median is located around the 25th observation and then calculated using the median class.
Simple analogy
Median means the middle position, not the biggest frequency.
Common confusion
Students often choose the class with the highest frequency instead of the class containing the middle position.
Exam tip
Always find N/2 first and then locate the class where the cumulative frequency first becomes greater than or equal to N/2.
Answer writing and exam use
1-mark use
Write the exact meaning of median of grouped data in one clean line.
2-mark use
Define median of grouped data and add one example or condition.
3-mark use
Explain median of grouped data, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
Open the concept quiz intro first, review the test details, and then start a focused MCQ set from this concept only. Instant score and answer review are live now.
Help improve this page
Found something confusing, incorrect, or missing?