1.

If the median of the distribution given below is 28.5 , find the values of x and y.

Answer»

Solution :
Since the total number of observation is 60
`:. 45+x+y=60rArr x+y=15`
Median is GIVEN to be 28.5 so it will fall in the class 20-30
`:. """Median"=l_(1)+(((N)/(2)-C))/(f)xxi`
`rArr 28.5=20+(30-(5+x))/(20)xx10`
`rArr 57-4025-x`
`rArr x=8`
Putting the VALUE of x=8 in eq. (1) we get
Hence, x=8,y=7


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