<MAA MATHEMATICAL ASSOCIATION OF AMERICAwebwork/f23bai89522m2345s002/_unit_1_homework_set / 14Unit 1 Homework Set: Problem 14Previous Problem(1 point) Given the data set below, calculate the range, variance, and standard deviation.range = 49Problem List Next Problemvariance =Note: You can earn partial credit on this problem.Preview My Answers Submit AnswersEmail instructorYou have attempted this problem 1 time.Your overall recorded score is 33%.You have unlimited attempts remaining.22, 18, 54, 5, 30, 25, 18, 47, 40standard deviation =

Answered: (1 point) Given the data set below,…

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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MAA MATHEMATICAL ASSOCIATION OF AMERICA
webwork/f23bai89522m2345s002/_unit_1_homework_set / 14
Unit 1 Homework Set: Problem 14
Previous Problem
(1 point) Given the data set below, calculate the range, variance, and standard deviation.
range = 49
Problem List Next Problem
variance =
Note: You can earn partial credit on this problem.
Preview My Answers Submit Answers
Email instructor
You have attempted this problem 1 time.
Your overall recorded score is 33%.
You have unlimited attempts remaining.
22, 18, 54, 5, 30, 25, 18, 47, 40
standard deviation =

Expert Solution

Step 1: Calculate range

Range To find the range, subtract the smallest data value from the largest data value:

$text Range end text equals text maximum value end text minus text minimum value end text equals 54 minus 5 equals 49$

Variance To find the variance, use the formula:

$s squared equals fraction numerator 1 over denominator n minus 1 end fraction sum open parentheses x subscript i minus x with bar on top close parentheses squared$

where $s^{2}$ is the sample variance, $n$ is the number of observations, $x_{i}$ is each individual observation, and $x with bar on top$ is the sample mean