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Question

The following table shows the no. of marks obtained by 41 students of a class: [3 MARKS]
Marks201517302225obtainedFrequency10254128
Find the median of marks obtained

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Solution

Formula: 1 Mark
Solution: 2 Marks

We arrange the data in ascending order and prepare the cumulative frequency table as given below:

Marks obtainedFrequencyCumulativefrequency152217572010172212292583730441

Here, n = 41, which is odd
Median = marks obtained by (41+12)th student. = marks obtained by 21st student.
But, 21 comes corresponding to the cumulative frequency 29 and the term corresponding to the cumulative frequency 29 is 22.
Hence, the median of marks is 22.

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