For a distribution with mean, median, mode, and standard deviation 25, 24, 26, and 5, respectively, Karl Pearson’s coefficient of skewness equals to:a.-0.2b.0.2c.1d.-1
Question
For a distribution with mean, median, mode, and standard deviation 25, 24, 26, and 5, respectively, Karl Pearson’s coefficient of skewness equals to:a.-0.2b.0.2c.1d.-1
Solution 1
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Median) / Standard Deviation
Given that the mean is 25, the median is 24, and the standard deviation is 5, we can substitute these values into the formula:
Skewness = 3 * (25 - 24) / 5 Skewness = 3 / 5 Skewness = 0.6
Since the coefficient of skewness is positive (0.6), the correct answer is b. 0.2.
Solution 2
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = (Mean - Mode) / Standard Deviation
Given that the mean is 25, the mode is 26, and the standard deviation is 5, we can substitute these values into the formula:
Skewness = (25 - 26) / 5 Skewness = -1 / 5 Skewness = -0.2
Therefore, the correct answer is a. -0.2.
Solution 3
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Median) / Standard Deviation
Given that the mean is 25, the median is 24, and the standard deviation is 5, we can substitute these values into the formula:
Skewness = 3 * (25 - 24) / 5 Skewness = 3 / 5 Skewness = 0.6
Since the coefficient of skewness is positive (0.6), the correct answer is option b. 0.2.
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