Empirical Rule

Multiple Choice

The normal curve is symmetrical about the mean.

• True
• False

Multiple Choice

Which is a normal distribution graph?

Multiple Choice

What is true about the data in this bar graph?

• In this perfectly symmetrical distribution, the mean, median, and mode are the same.

• The mean, median, and mode are different.

• There are several outliers in the set of data that makes this bar graph.

• The data is unevenly distributed - therefore, the mean, median, and mode are are all over the place.

Multiple Choice

Which interval shows 95% of the data given a mean of 15 and a standard deviation of 3? 

• 9 to 21
• 12 to 18
• 6 to 24
• 13 to 16

Multiple Choice

What percent of people within 2 standard deviations of the mean?

• 99.7

• 34

• 68

• 95

Multiple Choice

Which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3? 

• 9 to 21
• 12 to 18
• 6 to 24
• 13 to 16

Multiple Choice

According to the empirical rule, how much of the data falls within 3 standard deviations? 

• 25%
• 68%
• 95%
• 99.7%

Multiple Choice

According to the empirical rule, what percentage of data falls within 1 standard deviation? 

• 25%
• 68%
• 95%
• 99.7%

Multiple Choice

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

• 68%
• 99.7%
• 95%
• 84%

Multiple Choice

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

•  28,000 km and 32,000 km.
• 24,000 km and 34,000 km.
• 26,000 km and 34,000 km.
• 27,000 km and 31,000 km.

Multiple Choice

The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. What percent of men are between 64 and 66.5 inches tall? 

• 50%
• 2.5%
• 13.5%
• 34%

Multiple Choice

What percentage of the data is between -2 and -3 standard deviations

• 34%

• .15%

• 2.35%

• 13.5%

Multiple Choice

What percentage of the data is greater than 3 standard deviations

• 34%

• .15%

• 2.35%

• 13.5%

Great Job

Let's continue with standardizing​

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