Question

Following distribution respresents weight of 30 students in a class. Find median weight of students.

Weight (in kg)	40-45	45-50	50-55	55-60	60-65	65-70	70-75
No. of students	2	3	8	6	6	3	2

Answer 1

Here, N = 30 and \(\frac { N }{ 2 }\) = \(\frac { 30 }{ 2 }\) = 15 C.f. just above 15 is 19 and corresponding class-mterval is 55 – 60.

∴ Median class = 55 – 60

∴ l = 55, \(\frac { N }{ 2 }\) = 15, C = 13, f = 6 and h = 5

Thus, median weight of students = 56.67 kg(approx)