Answered: What is the variance of this data set?…

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

Here is a sample data set that appears to be nearly normal (as suggested by the histogram). Copy this data into your statistics software and then use it to answer the questions below.

36.6	43.6	30.1	32.1	33.8	44.4	50.7
16.4	38.5	40.4	34.2	16.3	37.9	30.8
44	16.4	36.2	43	28.3	40.7	41.2
26	44.8	34	22.6	44.4	30.8	36
46.5	41.7	24.3	46.8	27.4	28.3	39.2
36	46.8	42.3	32.6	39	43	23.2
26.9	38.1	32.3	38.1	36	44.4	33.4
33	39	35.2	45.7	21	36.8	48.2
32.3	33	34.7	16.4	32.3	34.4	38.7
32.8	36	37	39.2	27	40.7	37.4

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Here is the histogram:

24681012141618length (cm)152025303540455055Frequency[Graphs generated by this script: setBorder(54,40,20,15); initPicture(10.5,55,0,19);axes(101.4,2,1,null,2); fill="blue"; stroke="black"; textabs([165,0],"length (cm)","above");line([15,-0.38],[15,0.38]); text([15,0],"15","below");line([20,-0.38],[20,0.38]); text([20,0],"20","below");line([25,-0.38],[25,0.38]); text([25,0],"25","below");line([30,-0.38],[30,0.38]); text([30,0],"30","below");line([35,-0.38],[35,0.38]); text([35,0],"35","below");line([40,-0.38],[40,0.38]); text([40,0],"40","below");line([45,-0.38],[45,0.38]); text([45,0],"45","below");line([50,-0.38],[50,0.38]); text([50,0],"50","below");line([55,-0.38],[55,0.38]); text([55,0],"55","below");textabs([0,115],"Frequency","right",90);rect([15,0],[20,4]);rect([20,0],[25,4]);rect([25,0],[30,6]);rect([30,0],[35,17]);rect([35,0],[40,19]);rect([40,0],[45,14]);rect([45,0],[50,5]);rect([50,0],[55,1]);]

What is the variance of this data set? (Report your answer rounded to three decimal places)

Answer =

What is the standard deviation of this data set? (Report your answer rounded to three decimal places)

Answer =

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