1.

2. If the median of the distribution given below is 28.5, find the values of x and y.Class intervalFrequency0 - 10510 - 2020 - 302030 - 401540-50у50 - 605Total60​

Answer»

ANSWER:

Here, it is GIVEN that Median =28.5 and n=∑f

i

=60

Cummulative frequency table for the following data is given.

Here n=60⇒

2

n

=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+(

f

2

n

−cf

)h

28.5=20+(

20

30−5−x

)10

⇒28.5=20+

2

25−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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