Question:
Find the median of the following classified data.
Find the median of the following classified data.
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The median class is the class whose cumulative frequency first exceeds \(N/2\).
Updated On: Jun 15, 2026
- 8
- 9
- 10
- 11
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The Correct Option is C
Solution and Explanation
Step 1: Find total frequency. \[ N=3+4+6+3+4=20 \] \[ \frac N2=10 \]
Step 2: Find the median class. Cumulative frequencies: \[ 3,\;7,\;13,\;16,\;20 \] Since 10 lies between 7 and 13, the median class is \[ 8-12 \] Therefore, \[ l=8,\quad h=4,\quad f=6,\quad c_f=7 \]
Step 3: Apply median formula. \[ \text{Median} = 8+\frac{10-7}{6}\times4 \] \[ =8+\frac{12}{6} \] \[ =10 \] 10
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