Question

if the median of the following data is 206 find x and y ​

Answer 1

Given : Data

Total 80 Families

Median = 206

To Find : Value of X & Y

Solution:

interval                 f                   cf

170 -  180              4                  4

180 -  190              X                 4+X

190 -  200             12               16+X

200 -  210             15               31+X

210 -  220             13               44+X

220 -  230             Y               44+X+Y

230 -  240             14              58+X+Y

240 -  250             6               64+X+Y

Median is 206  Hence lies in 200 - 210

64+X+Y = 80

=> X + Y = 16

206 = 200 + 10 x ( 40 - (16+X))/15

=> 6 =2 (  ( 24-  X)/3

=> 9 =  24 - X

=> X    =  15

 X + Y =16

=> X = 15  , Y = 1

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