Question

Find the mode of following data.

Class 0 – 20 20 – 40 40 – 60 60 – 80 80 – 100 100 – 120 120 - 140

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Answer 1

Step-by-step explanation:

C.I F

i

0−20

20−40

40−60

60−80

80−100

100−120

120−140 6

8

10

12

6

5

3

Highest frequency =12

Modal class =60−80

l=60,F

0

=10,F

1

=12,F

2

=6,h=20

Mode =l+(

2F

1

−F

0

−F

2

F

1

−F

0

)×h

=60+

2×12−10−6

12−10

×20

=60+

8

2

×20=60+5=65

Mode =65