Previous Year Questions

Total frequency (n): 3 + 5 + 4 + 2 + 7 + 6 + 5 = 32

Median position: (n/2) = 16th term

Cumulative frequencies:

0-5: 3

5-10: 8

10-15: 12

15-20: 14

20-25: 21

25-30: 27

30-35: 32

Median class: 20-25 (since 14 < 16 ≤ 21)

L = 20, F = 14, f = 7, c = 5

Median = L + ((n/2 - F) / f) X c

L- Lower limit of median class

F- Cummulative frequency

f- Freaquency of median class

c- class width

n- Total frequency.

= 20 + ((16 - 14) / 7) X 5

= 20 + (2/7) X 5

= 20 + 10/7 = 20 + 1.42857 = 21.42857

= 21.43

Option (a) is the correct answer.