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Chapter 2: Q.2.34 (page 117)

Find the standard deviation for the data from the previous example

Short Answer

Expert verified

The standard deviationsx=3.5

Step by step solution

01

Content Introduction

A standard deviation is a measure of data dispersion in proportion to the mean. Data are grouped around the mean when the standard deviation is low, while data are more spread out when the standard deviation is high.

02

Content Explanation

We are given the data as follow:

The first class, 0-2, has a mid point that is1.

Let us calculate mean for the given data,

localid="1648896750882" μx=∑x.p(x)x¯=6(1,6,....,2)x¯=7.58

Now calculate standard deviation,

localid="1648729908811" s=1n-1∑i=1n(xi-μx)2s=15(1-7.58)2+,.......+(2-7.58)2s=3.5

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Most popular questions from this chapter

The following data represent the number of employees at various restaurants in New York City. Using this data, create a histogram.

22;35;15;26;40;28;18;20;25;34;39;42;24;22;19;27;22;34;40;20;38;and 28

Use 10–19as the first interval.

In a survey, 40people were asked how many times per year they had their car in the shop for repairs. The results are shown in Table 2.8.Construct a line graph.

The number of books checked out from the library from 25students are as follows:

0;0;0;1;2;3;3;4;4;5;5;7;7;7;7;8;8;8;9;10;10;11;11;12;12

Find the mode.

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

21;21;22;23;24;24;25;25;28;29;29;31;32;33;33;34;35;36;36;36;36;38;38;38;40

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

During a season, the 40thpercentile for points scored per player in a game is eight. Interpret the 40thpercentile in the context of this situation.
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