The following histogram shows the number of literate females in the age group of 10 to 40 years in a town:

Question:

The following histogram shows the number of literate females in the age group of 10 to 40 years in a town:


(i) Write the age group in which the number of literate female is the highest.

(ii) What is the class width?

(iii) What is the lowest frequency?

(iv) What are the class marks of the classes?

(v) In which age group literate females are the least?

Solution:

(i) The highest rectangle corresponds to the highest number of literate females, which is in the interval $15-20$ years.

(ii) The class intervals are $10-15,15-20,20-25,30-35,35-40$. Hence, the class width is 5 .

(iii) The lowest rectangle corresponds to the lowest frequency, which is 320 .

(iv) The class mark is the mid-point of the class interval.

class mark $=\frac{\text { upper limit+lower limit }}{2}$

Hence, the class mark of each class is as follows:

Interval Class Mark
10-">-15 12.5
15-">-20 17.5
20-">-25 22.5
25-">-30 27.5
30-">-35 32.5
35-">-40 37.5

(v) The lowest rectangle corresponds to the least number of literate females, which is in the interval $10-15$ years.

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