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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. 12, 20, 23, 15, 21, 18, 21, 18, 15, 17 The range is 11. (Simplify your answer.) The mean is 18. (Simplify your answer. Round to the nearest tenth as needed.) The variance is. (Simplify your answer. Round to the nearest tenth as needed.)

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. 12, 20, 23, 15, 21, 18, 21, 18, 15, 17 The range is 11. (Simplify your answer.) The mean is 18. (Simplify your answer. Round to the nearest tenth as needed.) The variance is. (Simplify your answer. Round to the nearest tenth as needed.)

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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**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.
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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