Question

44.Find the mode of the following frequency distribution C.I. 0 – 4 4 – 8 8 – 12 12 – 16 Freq 4 8 5 6​

Answer 1

Answer:

Here the maximum class frequency is 15 and the class corresponding to this frequency is 20−24.

So, the modal class is 20−24.

The lower limit of modal class 20−24 is l=20.

Class size c = 4; and frequency of the modal class f

1

=15.

Frequency of the class preceding the modal class =f

0

=7.

Frequency of the class succeeding the modal class f

2

=3.

z=l+(

2f

1

−f

0

−f

2

f

1

−f

0

)×c

=20+(

2×15−7−3

15−7

)×4

=20+

20

8

×4

=21.6

∴ The mode for the given data is 21.6

Step-by-step explanation:

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