Math Problem Statement

If the result of the Pearson Coefficient of Skewness gives a positive value, the distribution is described as ____.Question 13Answer a. Skewed to the left b. Not skewed c. Skewed to the right d. More peaked

Solution

The Pearson Coefficient of Skewness is a measure that helps to determine the asymmetry of the probability distribution of a real-valued random variable about its mean. If the result of the Pearson Coefficient of Skewness gives a positive value, it indicates that the distribution is described as:

c. Skewed to the right

A positive skewness implies that the tail on the right side of the distribution is longer or fatter than the left side.

Therefore, the correct answer is:

c. Skewed to the right

Do you want any more details or have any questions?

Here are some more questions you might find interesting:

  1. What is the formula for the Pearson Coefficient of Skewness?
  2. How do you interpret a negative Pearson Coefficient of Skewness?
  3. What are other measures of skewness besides the Pearson Coefficient?
  4. How does skewness affect the mean and median of a distribution?
  5. Can you give an example of a real-life dataset that might exhibit right skewness?

Tip: Understanding the skewness of a dataset is crucial in data analysis as it helps in identifying the direction and extent of asymmetry in the data distribution.

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Math Problem Analysis

Mathematical Concepts

Statistics
Skewness
Probability Distributions

Formulas

Pearson Coefficient of Skewness = 3 * (Mean - Median) / Standard Deviation

Theorems

Properties of Skewness

Suitable Grade Level

Grades 10-12