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

Best Answer

Solution: As per the question,

N= 60

N/2 = 30

Hence,

Median class = 20-30

Cumulative frequency = 25 + x

Lower limit, l = 20

cf = 5 + x

f = 20

h = 10

Now,

Median can be calculated as:

25 –x =17

x = 25-17

x = 8

Now,

From the cumulative frequency we can find the value of x + y as:

60 = 5 +20 +15 +5 +x +y

45 +x +y = 60

x + y = 15

y = 15 – x

y = 15 – 8

y = 7

Hence,

Value of x = 8 and y = 7