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.
Answer :
Word Count : 459
Step 1: Determine the ____ ____ ___ _________ __________ _____ ___.
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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