Question 6(ii)The table given below shows the ages of members of a society.Age (in years)Number of members of society25-350535-453245-556955-658065-756175-8513(a) Draw a histogram representing the above distribution.(b) Estimate the modal age of the members.

Question

Accepted Answer

Steps of construction :Draw a histogram of the given distribution.Inside the highest rectangle, which represents the maximum frequency (or modal class), draw two lines AC and BD diagonally from the upper corners C and D of adjacent rectangles.Through the point K (the point of intersection of diagonals AC and BD), draw KL perpendicular to the horizontal axis.The value of point L on the horizontal axis represents the value of mode.From graph,L = 59 yearsHence, required mode = 59 years.

Age (in years)	Number of members of society
25-35	05
35-45	32
45-55	69
55-65	80
65-75	61
75-85	13

Solved 2024 Specimen Paper ICSE Class 10 Mathematics — Question 8

Question 6(ii)