| Class Interval | $0–10$ | $10–20$ | $20–30$ | $30–40$ | $40–50$ |
| Frequency | $8$ | $12$ | $10$ | $14$ | $6$ |
(ii)
| Class Interval | $100–150$ | $150–200$ | $200–250$ | $250–300$ | $300– 350$ | $350–400$ |
| Frequency | $10$ | $13$ | $17$ | $12$ | $10$ | $8$ |
Solution:-
Steps to draw histograms for given frequency distributions,
1. On the x – axis $1cm=10$ units and take the frequency.
2. On the y – axis, take $1cm=10$ units and plot class interval.
Then,
| Less than | Cumulative Frequency |
| $10$ | $8$ |
| $20$ | $20$ |
| $30$ | $30$ |
| $40$ | $44$ |
| $50$ | $50$ |
3. So, in the graph mark the points with coordinates having abscissae as actual limits and ordinates as the cumulative frequencies, $(10,8)$, $(20,20)$, $(30,30)$, $(40,44)$, $(50,50)$.
4. Finally join the points plotted by a smooth curve.
(ii)
Solution:-
Steps to draw histograms for given frequency distributions,
1. On the x – axis $1cm=10$ units and take the frequency.
2. On the y – axis, take $1cm=10$ units and plot class interval.
Then,
| Less than | Cumulative Frequency |
| $150$ | $10$ |
| $200$ | $23$ |
| $250$ | $40$ |
| $300$ | $52$ |
| $350$ | $62$ |
| $400$ | $70$ |
3. So, in the graph mark the points with coordinates having abscissae as actual limits and ordinates as the cumulative frequencies, $(150,10)$, $(200,23)$, $(250,40)$, $(300,52)$, $(350,62)$, $(400,70)$.
4. Finally join the points plotted by a smooth curve.