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Considering the given summary statistics for the mean, median, and mode of a data set, decide whether the data is normal or skewed. If skewed, is it negatively or positively skewed? mean 19.4 median 20 mode 22

Considering the given summary statistics for the mean, median, and mode of a data set, decide whether the data is normal or skewed. If skewed, is it negatively or positively skewed? mean 19.4 median 20 mode 22

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Analyzing Data Distribution: Normal or Skewed?** To determine whether a data set is normally distributed or skewed, we can examine the summary statistics: mean, median, and mode. Based on the data provided: - **Mean:** 19.4 - **Median:** 20 - **Mode:** 22 ### Interpretation: 1. **Normal Distribution:** - In a normal distribution, the mean, median, and mode are all equal, or very close to each other. 2. **Skewed Distribution:** - **Positively Skewed:** If the mean is greater than the median, which is greater than the mode (mean > median > mode). - **Negatively Skewed:** If the mode is greater than the median, which is greater than the mean (mode > median > mean). ### Given Statistics: - **Mean (19.4) < Median (20) < Mode (22)** This indicates that the data is **negatively skewed**.
Transcribed Image Text:**Analyzing Data Distribution: Normal or Skewed?** To determine whether a data set is normally distributed or skewed, we can examine the summary statistics: mean, median, and mode. Based on the data provided: - **Mean:** 19.4 - **Median:** 20 - **Mode:** 22 ### Interpretation: 1. **Normal Distribution:** - In a normal distribution, the mean, median, and mode are all equal, or very close to each other. 2. **Skewed Distribution:** - **Positively Skewed:** If the mean is greater than the median, which is greater than the mode (mean > median > mode). - **Negatively Skewed:** If the mode is greater than the median, which is greater than the mean (mode > median > mean). ### Given Statistics: - **Mean (19.4) < Median (20) < Mode (22)** This indicates that the data is **negatively skewed**.
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