CALCULATING STANDARD DEVIATIONThe standard deviation is used to tell how far on average any data point is from the mean. The smaller the standarddeviation, the closer the scores are on average to the mean, When the standard deviation is large, the scores are morewidely spread out on average from the mean.The standard deviation is calculated to find the average distance from the mean.Practice Problem #1: Calculate the standard deviation of the following test data by hand. Use the chart below to recordthe steps.Test Scores: 22, 99, 102, 33, 57, 75, 100, 81, 62, 29Mean:n:(Difference from the mean)(x – x)?Difference from the meanTest Score(x)(x- X)Sum of (Difference from the mean)E(x- X)→ This is called variance.Sum of (Difference from the Mean) divided by degrees of freedom (n -1):E(x - x)?(п — 1)Final Step:Standard deviation = square root of what you just calculated (variance).E(x-x)?Standard deviation =(п-1)

Given: Test score, x 22 99 102 33 57 75 100 81 62 29

Answered: Sum of (Difference from the Mean)…

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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Sum of (Difference from the Mean) divided by degrees of freedom (n - 1):_ - This is called variance. E(x - x)? (n – 1) %3D Final Step: Standard deviation = square root of what you just calculated (variance). %3D E(x-x)² Standard deviation = %D (n-1)