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Homework #8
1. What was the sum of Y?
2. What was the sum of squares for Y?
3. What is the degrees of freedom for this problem?
4. What is the variance?
5. What is the standard deviation?

Homework Assignment #8
CNSL 5302

Name:

Calculate the variance and standard deviation of the following data. Instructions for
hand calculations are given on the second page of this handout.

Turn this assignment in inputting the answers into the correct place in Blackboard.

Y: 4, 9, 3, 6, 7, 6, 4, 5, 8, 7, 5, 6, 4, 2, 7, 6, 4, 4, 5, 8

Variance and Standard Deviation
Hand Calculation

Given the data set Y: 3, 2, 4, 5, 1

1. Place your data in column form.

Y
3
2
4
5
1

2. Make a second column called Y

2
and then square each Y.

Y Y

2

3 9
2 4
4 16
5 25
1 1

3. Add (sum) each column.

Y Y

2

3 9
2 4
4 16
5 25
1 1
15 55

5. Put the numbers in the formula for variance (s

2
is the symbol for variance).

 

1

2

2

2

n

y
s

n

y

=
15

55
5

15
2

2

s =

4

55
5

225
2

s

4

45552 
s =

4

102
s = 5.2

2
s

6. Then calculate the standard deviation (s) by taking the square root of the variance.

2

ss  = 5.2s = 58.1s

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