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Question:

The marks obtained by 100 students of a class in an examination are given below. Marks No. of Students 0 - 5 2 5 - 10 5 10 - 15 6 15 - 20 8 20 - 25 10 25 - 30 25 30 - 35 20 35 - 40 18 40 - 45 4 45 - 50 2 Draw 'a less than' type cumulative frequency curves (ogive). Hence find median.

Solution:

Cumulative frequencies are 2, 7, 13, 21, 31, 56, 76, 94, 98, 100
N/2 = 100/2 = 50
Median class is 25-30
M = l + h/f[N/2 - C]
M = 25 + 5/25[50 - 31] = 25 + 5/25 * 19 = 25 + 3.8 = 28.8