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1. What are the relative strengths and weaknesses of using range as a measure of variability?

1. What are the relative strengths and weaknesses of using range as a measure of variability?

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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**Question 1: What are the relative strengths and weaknesses of using range as a measure of variability?** This question explores the advantages and disadvantages of using the range to assess variability in a data set. The range is the difference between the highest and lowest values. **Strengths:** - **Simplicity**: The range is easy to calculate, making it a quick way to gauge variability. - **Comprehensiveness**: It uses the most extreme values, providing an immediate sense of the data's spread. **Weaknesses:** - **Sensitivity to Outliers**: Extreme values can skew the range, making it less representative of the data's overall variability. - **Lack of Detail**: The range does not account for the distribution of data between the two extremes, potentially leading to misleading interpretations.
Transcribed Image Text:**Question 1: What are the relative strengths and weaknesses of using range as a measure of variability?** This question explores the advantages and disadvantages of using the range to assess variability in a data set. The range is the difference between the highest and lowest values. **Strengths:** - **Simplicity**: The range is easy to calculate, making it a quick way to gauge variability. - **Comprehensiveness**: It uses the most extreme values, providing an immediate sense of the data's spread. **Weaknesses:** - **Sensitivity to Outliers**: Extreme values can skew the range, making it less representative of the data's overall variability. - **Lack of Detail**: The range does not account for the distribution of data between the two extremes, potentially leading to misleading interpretations.
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