Question

Calculate the median and the two quartiles from the following frequency distribution.
Value: 0-5, 5-10,10-20, 20-30, 30-50
Frequency: 5, 7, 15, 20. 13

Answer 1

Answer:

CI

0-5

5-10

10-15

15-20

20-25

25-30

F

5

3

9

10

8

5

CF

5

8

17

27

35

40

2

N

=

2

40

=20 lies in CF 27 so, 15−20 is Median class

So, Median =L+(

F

(n/2)−Cf

)×H

=15+(

10

20−17

)×5

Median 16.5