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Each of the following data sets has a mean of 40. 1. {38, 43, 47, 27, and 45} II. {41, 40, 39, 42, and 38} III. {59, 41, 53, 17, and 30} Estimate their standard deviations and list them from smallest to largest according to standard deviation size. O III, I, II O I, III, II O II, I, III O I, II, III

Each of the following data sets has a mean of 40. 1. {38, 43, 47, 27, and 45} II. {41, 40, 39, 42, and 38} III. {59, 41, 53, 17, and 30} Estimate their standard deviations and list them from smallest to largest according to standard deviation size. O III, I, II O I, III, II O II, I, III O I, II, III

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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### Estimating Standard Deviations #### Problem Statement: Each of the following data sets has a mean of 40. 1. Data Set I: \(\{38, 43, 47, 27, and 45\}\) 2. Data Set II: \(\{41, 40, 39, 42, and 38\}\) 3. Data Set III: \(\{59, 41, 53, 17, and 30\}\) Estimate their standard deviations and list them from smallest to largest according to standard deviation size. #### Multiple Choice Options: - \(\circ\) III, I, II - \(\circ\) I, III, II - \(\circ\) II, I, III - \(\circ\) I, II, III ### Explanation: Standard deviation measures the amount of variation or dispersion in a set of values. The data set with the smallest spread of values around the mean will have the smallest standard deviation, while the data set with the largest spread around the mean will have the largest standard deviation. To solve this problem, consider the distribution of each data set around 40 and qualitatively estimate which has the tightest clustering of values around the mean. ### Graphical Representation (If applicable) No graphical representation or diagrams are included with this problem. The solution requires interpretation and estimation of standard deviations via analytical observation of the given data sets. Engaging in this exercise can help students strengthen their understanding of variability in data and standard deviation calculations in statistical practice.
Transcribed Image Text:### Estimating Standard Deviations #### Problem Statement: Each of the following data sets has a mean of 40. 1. Data Set I: \(\{38, 43, 47, 27, and 45\}\) 2. Data Set II: \(\{41, 40, 39, 42, and 38\}\) 3. Data Set III: \(\{59, 41, 53, 17, and 30\}\) Estimate their standard deviations and list them from smallest to largest according to standard deviation size. #### Multiple Choice Options: - \(\circ\) III, I, II - \(\circ\) I, III, II - \(\circ\) II, I, III - \(\circ\) I, II, III ### Explanation: Standard deviation measures the amount of variation or dispersion in a set of values. The data set with the smallest spread of values around the mean will have the smallest standard deviation, while the data set with the largest spread around the mean will have the largest standard deviation. To solve this problem, consider the distribution of each data set around 40 and qualitatively estimate which has the tightest clustering of values around the mean. ### Graphical Representation (If applicable) No graphical representation or diagrams are included with this problem. The solution requires interpretation and estimation of standard deviations via analytical observation of the given data sets. Engaging in this exercise can help students strengthen their understanding of variability in data and standard deviation calculations in statistical practice.
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