Question

Find the median of the following data.
`{:("Class Interval",f),(" "0-4,3),(" "4-8,6),(" "8-12,6),(" "12-16,6),(" "16-20,8):}`
A. 13
B. 12
C. 11
D. 10

Answer 1

Correct Answer - C
`{:("Class Interval",f,"Cumulative Frequency"),(" "0-4,3," "3),(" "4-8,5," "8 m),(" "8-12,6," "14 ),(" "12-16,3," "17),(" "16-20,8," "25):}`
Here, N = 25
`(N)/(2) = (25)/(2) = 12.5`
`therefore` The median class = 8 - 12
`therefore` l = 8, f = 6, m = 8, c = 4.
`"Median" = l + ((N)/(2) - m)/(f) xx c = 8 + (12.5 - 8)/(6) xx 4`
`= 8 + (4.5)/(3) xx 2 = 8 + 1.5 xx 2 = 8 + 3 = 11`.