Question

What is the value of the Pearson's coefficient of skewness for a distribution with a mean of 45, a median of 26, and a standard deviation of 6? Select one:

a. +5.83
b. −9.5
c. +9.5
d. −5.83

Answer 1

The Pearson's coefficient of skewness for a distribution with a mean of 45, a median of 26, and a standard deviation of 6 is calculated as +9.5, indicating a right-skewed distribution.

Step-by-step explanation:

The Pearson's coefficient of skewness for a distribution is used to measure the asymmetry of the distribution. Since we have the mean, median, and standard deviation, we can calculate it using the formula: Pearson's coefficient = 3(mean - median) / standard deviation. Plugging in the given numbers, we have: Pearson's coefficient = 3(45 - 26) / 6 = 3 * 19 / 6 = 57 / 6 = 9.5. Therefore, the Pearson's coefficient of skewness for this distribution is +9.5, which indicates a right-skewed distribution. Option c is the correct answer.