Height 160-162 163-165 166-168 169-171 172-174
frequency 15 117 x 118 14if the median of distribution is 167 . find the value of 'x'Answer :
We have
Let Median lies between 169 - 171
And we know the formula for estimate median = L +
And
L is the lower class boundary of the group containing the median. So here = 169
n is the total number of data ( Here 264 + x )
cfb is the cumulative frequency of the groups before the median group ( Here 117 + 15 + x = 132 + x )
fm is the frequency of the median group . ( here 118 )
w is the group width. ( here 2 )
So,
167 = 169 +
167 = 169 +
167 = 169 -
167 =
19942 - x = 19706
x = 19942 - 19706
x = 236 ( Ans )
We have
Height | 160 - 162 | 163 - 165 | 166 - 168 | 169 - 171 | 172 - 174 | |
Frequency | 15 | 117 | x | 118 | 14 | Total = 264 + x |
Let Median lies between 169 - 171
And we know the formula for estimate median = L +
And
L is the lower class boundary of the group containing the median. So here = 169
n is the total number of data ( Here 264 + x )
cfb is the cumulative frequency of the groups before the median group ( Here 117 + 15 + x = 132 + x )
fm is the frequency of the median group . ( here 118 )
w is the group width. ( here 2 )
So,
167 = 169 +
167 = 169 +
167 = 169 -
167 =
19942 - x = 19706
x = 19942 - 19706
x = 236 ( Ans )