Question

Find the mode of following frequency distribution class 0-6 6-12 12-18 18-24 24-30 frequency 7 5 10 12 6

Answer 1

Step-by-step explanation:

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Answer 2

Given,

CI           frequency

0-6            7

6-12           5

12-18          10

18-24         12

24-30         6

To find,

We have to find the mode of the given data.

Solution,

The mode of the given data is.

We can simply find the mode of the given data using the formula of calculating mode.

Mode = L1 + f1-f0/2f1-f0-f2 * h

CI           frequency

0-6            7

6-12           5

12-18          10

18-24         12

24-30         6

f1 = 12, f0 = 10, f2 = 6, L1 = 18, h= 6

Substituting the values in the formula, we get

Mode = 18 +12-10/24-10-6 * 6

Mode = 18 +3/2

Mode = 19.5

Hence, the value of mode for the given data is 19.5.