normal distribution curve
Applying the Percentage Rule
Standard Deviation
Variance
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?

The distance of a set of data points from the mean

100
A data set with a standard deviation of 9 has a variance of what?
v = 81
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

200

The heights (in cm) of students of a class is given to be 163, 158, 167, 174, 148. Find the variance.

 the variance is found to be 77.6 

300

The curve is this with respect to its mean

Symmetric

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

300

Find the variance of the given data set: 4, 3, 2, 7, 8

s = 3 v = 9

400

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

 One or 100%

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

400

What is the variance for the following set of numbers? 23, 10, 11, 24, 32, 15, 13, 16

V = 50.98

500

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%

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

15.85

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

500

Explain the difference between standard deviation and variance

Standard Deviation is how far data is from the mean, while variance is the overall spread of the data set

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