Question

The median of the distribution given below is 14.4. Find the value of x and y. If the sum of frequency is 20.
0-6
4
6-12
x
12-18
5
18-24
y
24-30
1
​

Answer 1

Answer:

firstcolumn-class interval

second column- frequency

third column- midpoint

fourthcolumn- comm frequency

∑f=20

x+y=10−−−−−−−−−−(1)

Median is 14.4

S0, Median class is 12−18

Median =L+

f

2

n

−C

×w

So 14.4=12+

5

2

20

−(4+x)

×6

14.4×5=60+(10−4−x)×6

72=60+60−24−6x

6x=120−24−72

6x=120−96

6x=24

x=4

from eq (1)

4+y=10⇒y=6