Question

class interval frequency
0-10. 20
10-20. 24
20-30. 40
30-40. 36
40-50. 20
find the medium
​

Answer 1

Answer:

We use a formula to find mode of continuous data.

Mode =x

1

+

2f

0

−f

1

−f

−1

f

0

−f

1

×w

x

i

= lower class of modal class

f

0

= frequency of modal class.

f

1

= frequency of class next to modal class

f

−1

= frequency of class previous to modal class

w= width of modal class

Max freq =40∴ Modal class =20−30

x

i

=20

f

0

=40

f

1

=24

f

−1

=36

w=10

∴ mode =20+

2(40)−24−36

40−24

×10

=20+

20

16

×10

=28

∴ Mode =28