Free Printable Standard Deviation and Normal Distribution

Worksheets

Standard Deviation and Normal Distribution

Total questions: 20

Worksheet time: 3600secs

Name

Class

Date

What shape is a normal distribution curve?

Half curve

Round curve

Bell curve

Square curve

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

25%

68%

95%

99.7%

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

25%

68%

95%

99.7%

1. Which best describes the shaded part of this normal distribution graph?

All data that is one or higher.

All data that is one or more standard deviations above the mean.

All data that is between 1 and 3.

All data that is above the mean.

What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?

26-32

3-29

26-29

39-32

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

Find the percentage of golfers that are between 30 and 46 years old.

68%

94%

95%

99.7%

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

There are 500 golf members at the Mathy Country Club. How many are younger than 34?

100

150

What is the standard deviation of this distribution? (how far is it from the mean to the first stdev line?)

1010

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.

10.

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 6 and 18 days?

68%

95%

99%

2.5%

11.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?

193

127

12.

The histogram is not normal. The distribution is ____.

Bimodal

Skewed right

Skewed left

Multimodal

13.

What is the median?

biggest- smallest

average

the middle #

# that happens the most

14.

What does this symbol represent?

Standard Deviation

Mean

15.

What does this symbol represent?

Standard Deviation

Mean

16.

Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 54 and 96?

34%

99.7%

95%

2.5%

17.

Which of the following is a disadvantage of the Empirical Rule?

There is no result for 3 standard deviations.

It is very conservative.

There is no result for 1 standard deviation.

The data has to be approximately normal.

18.

When labeling the axis for a normal distribution curve, the notation $\sigma$ is used to represent standard deviation. What is this Greek letter $\sigma$ called?

Omega

Delta

Lowercase Sigma

Lowercase Omega

19.

The average height of women in the United States is 62 inches with a standard deviation of 2 inches. What is the height of a woman who is 3 standard deviations above the mean?

58 inches

56 inches

66 inches

68 inches

20.

This data is:

Approximately normally distributed

Not normally distributed

100 %

Standard Deviation and Normal Distribution

Total questions: 20

Worksheet time: 3600secs

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