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Chapter 2: Q.2.33 (page 116)

The following data show the different types of pet food stores in the area carry. 6;6;6;6;7;7;7;7;7;8;9;9;9;9;10;10;10;10;10;11;11;11;11;12;12;12;12;12;12; Calculate the sample mean and the sample standard deviation to one decimal place using a TI-83+orTI-84 calculator.

Short Answer

Expert verified

The mean is9.27and the standard deviation is2.15.

Step by step solution

01

Content Introduction

Let X1,......,Xnare n observations. Let us list all statics,

Sample mean is x鈬赌=1n鈭�i=1nXi

Sample derivation is

s2=1n-1鈭�i=1n(xi-x炉)2

02

Content Explanation

We have data give, let us find mean and standard deviation as follow:

x鈬赌=1n鈭�i=1nXi=129(6+6+6........12+12+12)=9.27

Standard deviation is

s=1n-1鈭�i=1n(xi-x炉)2s=128(6-9.27)2+(6-9.27)2+.....+(12-9.27)2+(12-9.27)2s=2.15

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