Question

A.) What is the standard deviation of the following: 50, 46, 44, 36, 44, 48 Round...

A.)

What is the standard deviation of the following: 50, 46, 44, 36, 44, 48

Round to 2 decimal places as needed.

B.)

What is the standard deviation of the following: 46, 36, 46, 30, 36, 29

Round to 2 decimal places as needed.

C.)

What is the standard deviation of the following: 15, 50, 29, 10, 21, 12

Round to 2 decimal places as needed.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

A) First we have to calculate sample mean.

Now, We have to construct below table to compute standard deviation (sd)

X X- (X-)2
50 5.33 28.4089
46 1.33 1.7689
44 -0.67 0.4489
36 -8.67 75.1689
44 -0.67 0.4489
48 3.33 11.0889
Total 117.3334

Sample standard deviation (sd) is calculated using below formula

Population standard deviation() is calculated using below formula

Using above approach, we can compute sample and population standard deviation for B and C data

B) Sample standard deviation (sd) = 7.44 and population standard deviation = 6.79

C) Sample standard deviation (sd) = 14.99 and population standard deviation = 13.68

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