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Measures of Variation
Characteristics
The Standard Normal Curve
Applying the Percentage Rule
Word Problems
100

11 in the data set 14, 16, 18, 24, 19, 15, 13

What is the range?

100
The shape of the graph of a normal distribution is this.
What is bell-shaped?
100
The mean of a standard normal distribution is this.
What is zero?
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.
What is 12?
100

When Sarah runs the 400 meter dash, her finishing times are normally distributed with a mean of 63 seconds and a standard deviation of 1.5 seconds. Using the empirical rule, what percentage of races will her finishing time be between 61.5 and 64.5 seconds?

68%

200

28 in the data set 29, 27, 24, 28, 30, 51, 28

What is the median?

200
This measure of central tendency of a normal distribution represents the highest point on the curve
What is the mean?
200
The standard deviation of a standard normal distribution is this?
What is one?
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.
What is 6?
200

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 12 minutes and a standard deviation of 2 minutes. Using the empirical rule, determine the interval of minutes that the middle 99.7% of customers have to wait.

(6, 18)

300

2 in the data set 1, 2, 3

What is the mean/median

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.
What is 68–95–99.7%?
300
Why is there a peak in the standard normal distribution curve?

Because most values are concentrated at the mean 

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.
What is 95%?
300

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 26 minutes and a standard deviation of 4 minutes. Using the empirical rule, determine the interval of minutes that the middle 95% of customers have to wait.

(18, 34)

400

What is the standard deviation of the following data: 112, 112, 112?

0

400
The curve is this with respect to its mean.
What is symmetric?
400

What percentage of data can be found 1 standard deviation above the mean?

34%

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?
What is 18 and 30?
400

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, what percentage of people have an IQ score between 55 and 145?

99.7%

500

What is the standard deviation of the following data: 114, 114, 114? How do you know your answer is correct?

0; There is no difference between the data set's numbers and the mean.
500

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

What is 100%?

500

What percentage of data is found below the mean?  

50%

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.
What is 15.85?
500

When Savannah commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 28 minutes and a standard deviation of 3.5 minutes. Out of the 213 days that Savannah commutes to work per year, how many times would her commute be shorter than 21 minutes, to the nearest whole number?

~5