Which of the following expressions represents the median ( ) of a grouped data set

MATHEMATICS · Single correct · CBSE · Mathematics · Statistics · Statistics

Problem

Which of the following expressions represents the median (

M

) of a grouped data set, where

l

is the lower limit of the median class,

c

is the cumulative frequency of the class just before the median class,

f

is the frequency of the median class,

h

is the class width and

N

is the total number of observations? (a)

M = l + \dfrac{c - N/2}{f}\,h

(b)

M = l + \dfrac{N - c}{f}\,h

(c)

M = l + \dfrac{N/2 - c}{f}\,h

(d)

M = l + \dfrac{N/2 - c}{c}\,h