From the following distribution, find the median:

| Classes | 500-600 | 600-700 | 700-800 | 800-900 | 900-1000 |
|---|---|---|---|---|---|
| Frequency | 36 | 32 | 32 | 20 | 30 |

Question

From the following distribution, find the median:

| Classes | 500-600 | 600-700 | 700-800 | 800-900 | 900-1000 |
|---|---|---|---|---|---|
| Frequency | 36 | 32 | 32 | 20 | 30 |

Accepted Answer

Step 1: Median class: $700$-$800$. $N = 150$, $\frac{N}{2} = 75$, $cf = 68$, $f = 32$, $h = 100$
Step 2: Median $= 700 + \frac{75 - 68}{32} 	imes 100 = 721.88$

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Solution