Question

4. Given the following dataset: 7, 4, 7, 9, 3 a. What is the mean? Show...

4. Given the following dataset: 7, 4, 7, 9, 3

a. What is the mean? Show your work. (1 point)

9+7+7+4+3 = 30                     30/5 = 6                       Thus, the mean is 6

b. What is the standard deviation? Use the table below to help. Round to 2 decimals. (2 points)

X

-   M

=

Deviations (x-M)

Squared Deviations (x-M)2

7

- 6

=

1

1

4

-6

=

-2

4

7

-6

=

1

1

9

-6

=

3

9

3

-6

=

-3

9

M = 6

Sum of Squared Deviations = 24

Variance = 6

Standard Deviation = 2.4495

c. Using the information from 4a and 4b, convert all 5 of the raw scores (i.e., 7, 4, 7, 9, 3) to z-scores. Round to 2 decimals. Make sure you show your work. (5 points)

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