| Class Interval | $0–10$ | $10–20$ | $20–30$ | $30–40$ | $40–50$ | $50–60$ |
| Frequency | $8$ | $13$ | $27$ | $35$ | $14$ | $3$ |
(ii)
| Class Interval | $11–20$ | $21–30$ | $31–40$ | $41–50$ | $51–60$ | $61-70$ |
| Frequency | $15$ | $28$ | $50$ | $35$ | $20$ | $12$ |
(i)
| Class Interval | $0–10$ | $10–20$ | $20–30$ | $30–40$ | $40–50$ | $50–60$ |
| Frequency | $8$ | $13$ | $27$ | $35$ | $14$ | $3$ |
Solution:-
Steps to draw histograms for given frequency distributions,
1. On the x – axis, take $1cm=10$ units and plot frequency.
2. On the y – axis, take $1cm=10$ units and plot class interval.
3.Construct rectangles of histograms according to the given frequency distribution.
4. Then, for each rectangle mark the midpoint of its length at the top.
5. So, in the graph midpoints are $(5,8)$, $(15,13)$, $(25,27)$, $(35,35)$, $(45,14)$, $(55,3)$
6. Also mark two more midpoints of zero frequency at the start and end on the x-axis.
7. Finally Connect the points using straight lines.
(ii)
Solution:-
Steps to draw histograms for given frequency distributions,
1. First we have to make the class intervals continuous by subtracting 0.5 from the lower limit of each class and add 0.5 to the upper limit of each class.
Then we have,
| Class Interval | $10.5–20.5$ | $20.5–30.5$ | $30.5–40.5$ | $40.5-$50.5 | $50.5–60.5$ | $60.5–70.5$ |
| Frequency | $15$ | $28$ | $50$ | $35$ | $20$ | $12$ |
2. On the x – axis, take $1cm=10$ units and plot frequency.
3. On the y – axis, take $1cm=10$ units and plot class interval.
4. Construct rectangles of histograms according to the given frequency distribution.
5. Then, for each rectangle mark the midpoint of its length at the top.
6. So, in the graph midpoints are $(15.5,15)$, $(25.5,28)$, $(35.5,50)$, $(45.5,35)$, $(55.5,20)$, $(65.5,12)$
7. Also mark two more midpoints of zero frequency at the start and end on the x-axis.
8. Finally Connect the points using straight lines.