Understanding the 68-95-99.7 Rule for Normal Distributions

What shape does a normal distribution typically have?

• A zigzag pattern

• A bell shape

• A straight line

• A square shape

Which of the following is NOT a characteristic of a normal distribution?

• Skewed

• Bell-shaped

• Symmetrical

• Centered around the mean

Which of the following terms might indicate the use of the 68-95-99.7 rule?

• Linear distribution

• Bell-shaped curve

• Random scatter

• Exponential growth

What percentage of data lies within one standard deviation of the mean in a normal distribution?

• 95%

• 99.7%

• 68%

• 50%

What does the 99.7% in the 68-95-99.7 rule represent?

• Data within one standard deviation

• Data within four standard deviations

• Data within three standard deviations

• Data within two standard deviations

If a normal distribution has a mean of 100 and a standard deviation of 10, what is the range for 95% of the data?

• 80 to 120

• 90 to 110

• 70 to 130

• 60 to 140

In a normal distribution with a mean of 40 and a standard deviation of 5, what range contains 68% of the data?

• 35 to 45

• 40 to 50

• 30 to 50

• 25 to 55

For a normal distribution with a mean of 15 and a standard deviation of 3, what interval contains 95% of the data?

• 15 to 30

• 6 to 24

• 12 to 18

• 9 to 21

If a dataset has a mean of 102 and a standard deviation of 15, what is the range for 99.7% of the data?

• 102 to 132

• 87 to 117

• 57 to 147

• 72 to 132

What is the range for 68% of the data in a normal distribution with a mean of 291 and a standard deviation of 17?

• 250 to 300

• 274 to 308

• 257 to 325

• 291 to 325