If the median of the distribution given below is 28.5, find the values of x and y Class interval Frequency 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 5 X 20 15 y 5 Total 60

Question

If the median of the distribution given below is 28.5, find the values of x and y Class interval Frequency 0 &#x2013; 10 10 &#x2013; 20 20 &#x2013; 30 30 &#x2013; 40 40 &#x2013; 50 50 &#x2013; 60 5 X 20 15 y 5 Total 60

Philoid · Accepted Answer

As per the question,

N= 60

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:

28.5

28.5 =

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

If the median of the distribution given below is 28.5, find the values of x and yClass intervalFrequency0 – 1010 – 2020 – 3030 – 4040 – 5050 – 605X2015y5Total60

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

Class interval

Frequency

0 – 10

10 – 20

20 – 30

30 – 40

40 – 50

50 – 60

5

X

20

15

y

5

Total

60