The median of the following data is 525. Find the values of x and y, if the total frequency is 100
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HELLO DEAR,
MEDIAN IS 525
500 - 600 is median class
we know median =
where, l = lower limit of median class = 500
h = class interval = 100 - 0 = 100
∑f_i = n = 100
cf = cumulative frequency before class median = 36 + x
f = median frequency
⇒525 = 500 + {50 - (36 + x)} * 5
⇒525 - 500 = {50 - (36 + x)}*5
⇒25/5 = 50 - (36 + x)
⇒36 + x = 50 - 5
⇒x = 45 - 36
⇒x = 9
and
∑f_i = 76 + x + y
100 = 76 + x + y
9 + y + 76 = 100
y = 100 - 85
y = 15
I HOPE ITS HELP YOU DEAR,
THANKS
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