Section 6C: Normal Distributions

Would you expect the following data set to be normally distributed?

The heights of 100 high jumps of a top-ranked athlete during a season.

• Yes

• No

Would you expect the following data set to be normally distributed?

The last digit of the Social Security number of 1000 randomly selected people.

• Yes

• No

Would you expect the following data set to be normally distributed?

The weights of bags of flour labeled "25 pounds."

• Yes

• No

Would you expect the following data set to be normally distributed?

The delay in departures of trains from a station. (Note: trains cannot leave early.)

• Yes

• No

A set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 65-95-99.7 rule to find the percentage of scores of the following category:

• - Greater than 100

• 50%

• 16%

• 68%

• 99.7%

• 95%

A set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 65-95-99.7 rule to find the percentage of scores of the following category:

• - Less than 140

• 50%

• 95%

• 99.7%

• 68%

Use table 6.4 (or your equation sheet) to fine the standard score (z-score) of the following data values:

• - A data value of 0.5 standard deviation below the mean.

• 2.0

• 0.5

• -1.2

• 1.5

Use table 6.4 (or your equation sheet) to fine the percentile of the following data values:

• - A data value of 0.5 standard deviation below the mean.

• 11.51 percentile

• 93.32 percentile

• 69.15 percentile

• 97.72 percentile

The Low score on an exam was 62, the median score was 75, and the high score was 96. The range was...

• 34

• 62

• 75

• 96

Which of the following is not part of a five-number summary?

• The lowest value

• The median

• The mean