For the following data, draw a 'less than' ogive and hence find the median of the distribution.

| Age (In years) | $0$-$10$ | $10$-$20$ | $20$-$30$ | $30$-$40$ | $40$-$50$ | $50$-$60$ | $60$-$70$ |
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Question

For the following data, draw a 'less than' ogive and hence find the median of the distribution.

| Age (In years) | $0$-$10$ | $10$-$20$ | $20$-$30$ | $30$-$40$ | $40$-$50$ | $50$-$60$ | $60$-$70$ |
|----------------|----------|-----------|-----------|-----------|-----------|-----------|----------|
| Number of persons | $5$ | $15$ | $20$ | $25$ | $15$ | $11$ | $9$ |

Accepted Answer

Step 1: Points to be plotted for less than ogive are: $(10, 5)$, $(20, 20)$, $(30, 40)$, $(40, 65)$, $(50, 80)$, $(60, 91)$, $(70, 100)$.
Step 2: Drawing the ogive on graph paper.
Step 3: Getting median $= 34$ (approx.) from the ogive by locating $\frac{N}{2} = 50$ on the y-axis.

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