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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

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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.

This problem has been solved

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.

This problem has been solved

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