Please answer in a descriptive statistics explanation 1) Which sample has more variability? Explaina) 1, 3, 6, 13, 14, 21b) 1, 4, 7, 12, 13, 21

The mean is computed as follows:The standard deviation is computed as follows:

Answered: 1) Which sample has more variability?…

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

Please answer in a descriptive statistics explanation

1) Which sample has more variability? Explain
a) 1, 3, 6, 13, 14, 21
b) 1, 4, 7, 12, 13, 21

Expert Solution

Step 1: Find mean and variance for sample a)

The mean is computed as follows:

$x with bar on top equals fraction numerator sum from blank to blank of x over denominator n end fraction space space space equals fraction numerator 1 plus 3 plus 6 plus 13 plus 14 plus 21 over denominator 6 end fraction space space space equals 9.6667$

The standard deviation is computed as follows:

$s equals square root of fraction numerator sum from blank to blank of open parentheses x minus x with bar on top close parentheses squared over denominator n minus 1 end fraction end root space space space equals square root of fraction numerator open parentheses 1 minus 9.6667 close parentheses squared plus open parentheses 3 minus 9.6667 close parentheses squared plus open parentheses 6 minus 9.6667 close parentheses squared plus open parentheses 13 minus 9.6667 close parentheses squared plus open parentheses 14 minus 9.6667 close parentheses squared plus open parentheses 21 minus 9.6667 close parentheses squared over denominator 6 minus 1 end fraction end root space space space equals 7.6333$