Free Printable Normal Distribution

Worksheets

Normal Distribution

Total questions: 31

Worksheet time: 1hrs 1mins

Name

Class

Date

What shape is a normal distribution curve?

Half curve

Round curve

Bell curve

Square curve

If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?

The normal curve is symmetrical about the mean.

True

False

This data is normally distributed. What percent of the data is in the shaded region?

68%

95%

99.8%

50%

This data is normally distributed. What percent of the data is in the shaded region?

68%

32%

16%

50%

This data is normally distributed. What percent of the data is in the shaded regions?

95%

2.5%

50%

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%

10.

How is the graph distributed?

Normally

Skewed to the Left

Skewed to the Right

Uniform

11.

Which is a normal distribution graph?

12.

35 is

mean

variance

standard deviation

1st quartile

13.

What is the the total area under the standard normal distribution curve?

100

14.

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.

15.

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

16.

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%

17.

The number of boys in a class is 1B .

discrete data

continuous data

18.

The number of cars in the parking lot.

discrete data

continuous data

19.

Time taken to complete homework.

discrete data

continuous data

20.

The weight of an elephant.

discrete data

continuous data

21.

The speed of cars.

discrete data

continuous data

22.

The average temperature of the last month.

discrete data

continuous data

23.

What is the the total area under the standard normal distribution curve?

100

24.

μ = 70 , σ = 8 , X = 50 . Find z score

2.5

-2.5

5.2

-5.2

25.

Which of the following graphs shows a normal curve?

26.

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

13.59%

99.73%

95.44%

2.14%

27.

Where can we locate the mean in the normal curve?

to the left portion

to the right portion

at the center

on the z - axis

28.

A data set has a mean of 290 and a standard deviation of 20. Calculate the z-score for 265.

$z=250.5$

$z=1.25$

$z=-1.02$

$z=-1.25$

29.

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

2.26

16.45

-2.26

1.26

30.

Find the mean

Z-score = -0.4

Standard Deviation: 7

x = 20

22.8

17.2

22.04

32.5

31.

Find the value of x.

Z-score = -2.2

mean = 25

Standard Deviation: 7

9.6

-36

5.2

23.46

100 %

Normal Distribution

Total questions: 31

Worksheet time: 1hrs 1mins

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