Question

What is the Sample Skewness for the following numbers: 160, 152,
175, 195, 100, 67, 58, 11, 85

Answer 1

The sample skewness measures the asymmetry of a data set. To calculate the sample skewness, you can use the formula: Sample Skewness = (3 * (Mean - Median)) / Standard Deviation.

Step-by-step explanation:

The sample skewness measures the asymmetry of a data set. To calculate the sample skewness, you can use the formula:

Sample Skewness = (3 * (Mean - Median)) / Standard Deviation

Using the given numbers: 160, 152, 175, 195, 100, 67, 58, 11, 85, we can calculate the sample skewness as follows:

1. Calculate the mean: (160 + 152 + 175 + 195 + 100 + 67 + 58 + 11 + 85) / 9 = 115.22
2. Calculate the median: Arrange the numbers in ascending order: 11, 58, 67, 85, 100, 152, 160, 175, 195. The median is the middle number, which is 100.
3. Calculate the standard deviation: You can use a calculator or software to calculate the standard deviation of the given numbers.
4. Plug the values into the formula: Sample Skewness = (3 * (115.22 - 100)) / Standard Deviation
5. Calculate the result to find the sample skewness.