Question

Draw a histogram of the following data:
$$\begin{array}{cccccccc}\text{Age (in years)}& 0-10& 10-20& 20-30& 30-40& 40-50& 50-70& 70-100\\ \text{No. of Persons}& 5& 15& 18& 22& 35& 30& 15\end{array}$$

Answer 1

Since the class intervals are unequal, we first adjust the frequencies.
$$\begin{array}{ccc}\text{Age (in years)}& \text{No. of persons}& \text{Adjusted Frequency}\\ 0-10& 5& \frac{10}{10}\times 5=5\\ 10-20& 15& \frac{10}{10}\times 15=15\\ 20-30& 18& \frac{10}{10}\times 18=18\\ 30-40& 22& \frac{10}{10}\times 22=22\\ 40-50& 35& \frac{10}{10}\times 35=35\\ 50-70& 30& \frac{10}{20}\times 30=15\\ 70-100& 15& \frac{10}{30}\times 15=5\end{array}$$