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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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10) SOLVE FOR ALL PARTS QUICK

Consider the following four data sets in the table below. Complete parts (a) through (g) below. Data sets E Click the icon to view the four data sets. d. Compute the range of each data set Data Set I Data Set II Data Set III Data Set IV 1 1 9 2 5 2 6 1 9 3 6 Range (Set I) Range (Set II) 3 9 5 3 6 Range (Set III) Range (Set IV) 3 9 1 9 5 3 8 (Type integers or decimals. Do not round.) 4 9 1 9 5 4 10 e. Use the defining formula to compute the sample standard deviation of each data set. s (Set I) s (Set II) Print Done s (Set III) (Type integers or decimals. Round to one decimal place as needed.) s (Set IV) f. From your answers to parts (d) and (e), which measure of variation better distinguishes the spread in the four data sets: the range or the standard deViation? Explain your answer. O A. The range distinguishes spread better because it shows that having different standard deviations doesn't imply that the means must be different. B. The standard deviation distinguishes spread better because it is resistant to outliers, and is therefore more robust than the range. OC. The range distinguishes spread better because it shows that the sets are structurally similar, because their extrema are equally spread out. O D. The standard deviation distinguishes spread better because it shows that the sets are structurally different, despite having similar ranges and means.
Transcribed Image Text:Consider the following four data sets in the table below. Complete parts (a) through (g) below. Data sets E Click the icon to view the four data sets. d. Compute the range of each data set Data Set I Data Set II Data Set III Data Set IV 1 1 9 2 5 2 6 1 9 3 6 Range (Set I) Range (Set II) 3 9 5 3 6 Range (Set III) Range (Set IV) 3 9 1 9 5 3 8 (Type integers or decimals. Do not round.) 4 9 1 9 5 4 10 e. Use the defining formula to compute the sample standard deviation of each data set. s (Set I) s (Set II) Print Done s (Set III) (Type integers or decimals. Round to one decimal place as needed.) s (Set IV) f. From your answers to parts (d) and (e), which measure of variation better distinguishes the spread in the four data sets: the range or the standard deViation? Explain your answer. O A. The range distinguishes spread better because it shows that having different standard deviations doesn't imply that the means must be different. B. The standard deviation distinguishes spread better because it is resistant to outliers, and is therefore more robust than the range. OC. The range distinguishes spread better because it shows that the sets are structurally similar, because their extrema are equally spread out. O D. The standard deviation distinguishes spread better because it shows that the sets are structurally different, despite having similar ranges and means.
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