Question
Download Solution PDFThe grouped data for the observation are as follows.
| Class: | 2-4 | 4-6 | 6-8 |
| Frequency: | 2 | 1 | 2 |
The population skewness:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is zero
Key Points
- The skewness of a population is a measure of its asymmetry and can be calculated as the third standardized moment of the distribution.
- A skewness of zero indicates that the distribution is symmetrical
- ie, meaning that the mean, median, and mode are equal and the data is evenly distributed on either side of the center.
Additional Information
- In the given data, here have 3 classes with the respective frequencies.
- However, it is not enough information to determine the skewness of the population.
- The skewness can be calculated using the formula which requires the mean, standard deviation and the individual values of the population data.
Important Points
- In general, positive skewness indicates that the tail of the distribution on the right side is longer or fatter compared to the left side, and the mode is on the left side of the center.
- On the other hand, negative skewness indicates that the tail on the left side is longer or fatter and the mode is on the right side of the center.
- It is important to note that the skewness is sensitive to outliers, and even a small number of outliers can have a significant impact on the skewness calculation.
Last updated on Jun 11, 2025
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