| Class Interval | $1–10$ | $11–20$ | $21–30$ | $31–40$ | $41–50$ |
| Frequency | $11$ | $23$ | $30$ | $20$ | $16$ |
| Class Interval | $110–119$ | $120–129$ | $130–139$ | $140–149$ | $150–159$ |
| Frequency | $15$ | $23$ | $30$ | $20$ | $16$ |
(iii)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 | $0.5–10.5$ | $10.5–20.5$ | $20.5–30.5$ | $30.5– 40.5$ | $40.5–50.5$ |
| Frequency | $11$ | $23$ | $30$ | $20$ | $16$ |
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 as per the obtained data.
(iv) 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 | $109.5-119.5$ | $119.5–129.5$ | $129.5–139.5$ | $139.5–149.5$ | $149.5–159.5$ |
| Frequency | $15$ | $23$ | $30$ | $20$ | $16$ |
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 as per the obtained data.