Question

2.If the median of the distribution given below is 24,find the value of x & y.​

Answer 1

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Median of Grouped Data

The median of the distribut...

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Asked on December 26, 2019 by

Dheerendra Kewat

The median of the distribution given below is 14.4. Find the values of x and y, if the total frequency is 20.

Class interval 0-6 6-12 12-18 18-24 24-30

Frequency 4 x 5 y 1

MEDIUM

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ANSWER

Class Interval Frequency midpoint (x) Comm frequecy

0-6 4 3 4

6-12 x 9 4+x

12-18 5 15 9+x

18-24 y 21 9+x+y

24-30 1 27 10+x+y

Total 20

∑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