The population variance is 0.5794 The Standard Deviation? 0.76  Can you show me the steps to reach the standard deviation of .76 ?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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What is the variance and standard deviation for the number of times the SAT is taken?

x

Frequency (f)

fx

f*x2= (f*x) x (x) (4) = (3)x(1)

5152727-(2547473)(2547473)/1518859=880035.3688/1518859=0.5794

(1)

(2)

(3)=(1)x(2)

(4)=(3x1)

 

Population Variance

1

721,769

721,769

721,769

 

2

601,325

1,202,650

2,405,300

 

3

166,736

500,208

1,500,624

 

4

22,299

89,196

356,784

 

5

6,730

33,650

168,250

 

Total

1,518,859

2,547,473

5,152,727

880035.3688

0.5794

 

n=1,518,859

fx = 2,547,473

 

                   

The population variance is 0.5794

The Standard Deviation? 0.76 

Can you show me the steps to reach the standard deviation of .76 ?

 

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