if the median of the distribution given below is 28.5 find the value of x and y solve
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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⇒2n=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+(f2n−cf)h
28.5=20+(2030−5−x)10
⇒28.5=20+225−x
⇒8.5×2=25−x
⇒x=8
Also, 45+x+y=60
⇒y=60−45−x=15−8=7.
Hence, x=8,y=7
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