Question

The mode of a set of 20 observations is 18 and the skewness of observations around central value is 5 then the calculated value of arithmetic mean of observations is_________.
1) 23
2) 7
3) 13
4) 43​

Answer 1

The calculated value of arithmetic mean of observations is 23

Therefore, option (1) is correct.

Step-by-step explanation:

Given:

Mode of the observations = 18

Skewness of observations about central value = 5

To find out:

The arithmetic mean of the observations

Solution:

We know that

Absolute skewness = Mean - Mode

Therefore,

Mean = Skewness + Mode

         = 18 + 5

         = 23

Hope this answer is helpful.

Know More:

Q: The coefficient of skewness of a distribution is 0.4. Its S.D and mean are respectively 8 and 30. The mode of the distribution is:

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