Question

Consider the following data from a sample below: 20, 40, 50, 60 a) Compute the standard...

Consider the following data from a sample below:

20, 40, 50, 60

a) Compute the standard deviation.

b) Compute the standard error.

Show all calculation for points.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution:

x x2
20 400
40 1600
50 2500
60 3600
x=170 x2=8100

a ) The sample standard is S

  S = ( x2 ) - (( x)2 / n ) n -1

= (8100 ( (170 )2 / 3 ) 4

   = ( 8100 - 7225 / 3)

= (875 / 3 )

= 291.6667

= 17.0783

The sample standard is = 17.0783

b ) The standard error. = s n

= 17.07834

= 8.5391

The standard error.= 8.5391

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