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:
- What is the formula for the Pearson Coefficient of Skewness?
- How do you interpret a negative Pearson Coefficient of Skewness?
- What are other measures of skewness besides the Pearson Coefficient?
- How does skewness affect the mean and median of a distribution?
- 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
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