Characteristics
Applying the Percentage Rule
Standard Deviation
100

The shape of the graph of a normal distribution is this.

Bell Curve

100

A normal distribution has a mean of 8 and a standard deviation of 2. The value that is 2 positive standard deviations away from the mean is this

12

100

What is standard deviation?

spread

200

This measure of central tendency of a normal distribution represents the highest point on the curve

The Mean

200

A normal distribution has a mean of 15 and a standard deviation of 3. The value that is 3 negative standard deviations away from the mean is this

6

200

What is the mean and standard deviation of the following set of scores: 8, 8, 8, 8, 8, 8

mean = 8 s = 0

300
These percentages roughly represent the percent of the data values that fall within one, two, and three standard deviations from the mean of a normal distribution.
68% 95% 99.7%
300

A normal distribution has a mean of 10 and a standard deviation of 1. The percentage of data values that fall between the values of 8 and 12 is this

95%

300

Set A: 3, 4, 5, 6, 2, 3, 4 Set B: 3, 6, 8, 9, 1, 9, 1 Which data set would have the smaller standard deviation? How can you tell? (no calculations needed)

Set A because the numbers are closer together

400

The curve is this with respect to its mean

Symmetric

400
A normal distribution has a mean of 24 and a standard deviation of 6. 68% of the values of this distribution fall between what two data values?
18 and 30
400
What is the mean and standard deviation for the following set of numbers? 4, 8, 6, 10, 16, 14, 12, 18
Mean = 11 Standard Deviation = 4.58
500

The total area under the curve of a normal distribution is this.

One or 100%

500

A normal distribution has a mean of 100 and a standard deviation of 10. The percentage of data values that fall between the values of 70 and 90 is this

15.5

500

What is the mean and standard deviation for the following set of numbers? 23, 10, 11, 24, 32, 15, 13, 16

mean =18 s = 7.14

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