Question

 

Compute Karl Pearson's coefficient of skewness from the following data:

Classes Frequency
30—33 2
33—36 4
36—39 26
39—42 47
42—45 15
45—48 6

 

Additional information:

 

i. Arithmetic mean is 40.11.

 

ii. Standard deviation is 2.96.

 

iii. Model class is 39-42.

 

b) Explain convenience and judgement sampling methods in brief.

18 Mar 2025
Answer :
Word Count : 459

To compute Karl Pearson's coefficient of skewness, we use the formula:

Skewness=3(Xˉ−μ)σ\text{Skewness} = \frac{3(\bar{X} - \mu)}{\sigma}

Where:

  • Xˉ\bar{X} is the arithmetic mean,
  • μ\mu is the median,
  • σ\sigma is the standard deviation.

The given data is:

Classes Frequency (f)
30—33 2
33—36 4
36—39 26
39—42 47
42—45 15
45—48 6

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