Answered: Calculate the sample standard deviation…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 3CYU

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Question

Calculate the sample standard deviation for this data set: 88, 73, 91. The formula for the sample standard deviation is shown, where ?n represents the sample size, ?x represents each value in the data set, and ?⎯⎯⎯x¯ represents the sample mean.

?=∑(?−?⎯⎯⎯)2?−1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√s=∑(x−x¯)2n−1

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Step 1. Calculate the sample mean.

?⎯⎯⎯x¯ =

Step 2. Calculate the deviations and the squares of the deviations.

deviation of 88=

square of deviation of 88=

deviation of 73=

square of deviation of 73=

deviation of 91=

square of deviation of 91=

Step 3. Calculate the sample variance and the sample standard deviation. Provide your sample standard deviation answer precise to one decimal place.

sample variance =

sample standard deviation =

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