if the medain of the distribution given below is 28.5 . Find the value of x and y
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Here, it is given that Median =28.5 and n=∑fi =60
Cummulative frequency table for the following data is given.
Here n=60⇒ n/2 =30
Since, median is 28.5, median class is 20−30
Hence, l=20,h=10,f=20,c.f.=5+x
Therefore, Median =l+( n/2 - cf )h
f
28.5=20+( 30−5−x )10
20
⇒28.5=20+ 25−x
2
⇒8.5×2=25−x
⇒x=8
Also, 45+x+y=60
⇒y=60−45−x
y=15−8
y=7.
Hence, x=8,y=7
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