Question

Present the data given in the table below in Histogram:

Marks	:	25-29	30-34	35-39	40-44	45-49	50-54	55-59
Frequency	:	4	5	23	31	10	8	5

Answer 1

Before proceeding to construct histogram, we first need to convert the given inclusive series into an exclusive series using the following formula.

The value of adjustment as calculated is then added to the upper limit of each class and subtracted from the lower limit of each class.
$\mathrm{Here},\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{adjustment}=\frac{30-29}{2}=0.5$

Therefore, we add 0.5 to the upper limit and subtract 0.5 from the lower limit of each class.

Marks	Frequency
24.5 − 29.5 29.5 − 34.5 34.5 − 39.5 39.5 − 44.5 44.5 − 49.5 49.5 − 54.5 54.5 − 59.5	4 5 23 31 10 8 5