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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⇀=1n∑i=1nXi

Sample derivation is

s2=1n-1∑i=1n(xi-x¯)2

02

Content Explanation

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

x⇀=1n∑i=1nXi=129(6+6+6........12+12+12)=9.27

Standard deviation is

s=1n-1∑i=1n(xi-x¯)2s=128(6-9.27)2+(6-9.27)2+.....+(12-9.27)2+(12-9.27)2s=2.15

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Most popular questions from this chapter

In a sample of 60households, one house is worth \(2,500,000. Half of the rest are worth \)280,000, and all the others are worth $315,000.. Which is the better measure of the “center”: the mean or the median?

For each of the following data sets, create a stem plot and identify any outliers.

The miles per gallon rating for 30 cars are shown below (lowest to highest).19,19,19,20,21,21,25,25,25,26,26,28,29,31,31,32,32,33,34,35,36,37,37,38,38,38,38,41,43,43

The University of California has two criteria used to set admission standards for freshmen to be admitted to a college in the UC system:

a. Students' GPAs and scores on standardized tests (SATs and ACTs) are entered into a formula that calculates an "admissions index" score. The admissions index score is used to set eligibility standards intended to meet the goal of admitting the top 12%of high school students in the state. In this context, what percentile does the top 12%represent?

b. Students whoseGPAs are at or above the 96th percentile of all students at their high school are eligible (called eligible in the local context), even if they are not in the top 12%of all students in the state. What percentage of students from each high school are "eligible in the local context"?

On a baseball team, the ages of each of the players are as follows:

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Use your calculator or computer to find the mean and standard deviation. Then find the value that is two standard deviations above the mean.

Suppose that you are buying a house. You and your realtor have determined that the most expensive house you can afford is the 34thpercentile. The 34thpercentile of housing prices is $240,000in the town you want to move to. In this town, can you afford 34%of the houses or 66%of the houses?

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