MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
**Data Analysis in Statistics: A Case Study** --- **Problem Statement:** The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set. Sample Data: 12, 20, 23, 15, 21, 18, 21, 18, 15, 17 --- **Solution:** 1. **Range:** - The range is the difference between the maximum and minimum values in the data set. - The range is **11**. (Simplify your answer.) 2. **Mean:** - The mean (average) is calculated by adding all the numbers in the data set and then dividing by the number of observations. - The mean is **18**. (Simplify your answer. Round to the nearest tenth as needed.) 3. **Variance:** - The variance measures the dispersion of the data points around the mean. - The variance is \(\_\_\). (Simplify your answer. Round to the nearest tenth as needed.) 4. **Standard Deviation:** - The standard deviation is the square root of the variance. - The standard deviation is \(\_\_\). (Simplify your answer. Round to the nearest tenth as needed.) --- **Graphical Explanation:** No graphs or diagrams are provided in this example. Numerical values, calculations, and definitions are given textually. --- This example demonstrates how basic statistical measures can be calculated from a given data sample, which is essential in understanding and analyzing real-world data scenarios.
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Transcribed Image Text:**Data Analysis in Statistics: A Case Study** --- **Problem Statement:** The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set. Sample Data: 12, 20, 23, 15, 21, 18, 21, 18, 15, 17 --- **Solution:** 1. **Range:** - The range is the difference between the maximum and minimum values in the data set. - The range is **11**. (Simplify your answer.) 2. **Mean:** - The mean (average) is calculated by adding all the numbers in the data set and then dividing by the number of observations. - The mean is **18**. (Simplify your answer. Round to the nearest tenth as needed.) 3. **Variance:** - The variance measures the dispersion of the data points around the mean. - The variance is \(\_\_\). (Simplify your answer. Round to the nearest tenth as needed.) 4. **Standard Deviation:** - The standard deviation is the square root of the variance. - The standard deviation is \(\_\_\). (Simplify your answer. Round to the nearest tenth as needed.) --- **Graphical Explanation:** No graphs or diagrams are provided in this example. Numerical values, calculations, and definitions are given textually. --- This example demonstrates how basic statistical measures can be calculated from a given data sample, which is essential in understanding and analyzing real-world data scenarios.
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