wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Z-Scores and Standard Normal Distribution

Total questions: 12

Worksheet time: 1hrs 20mins

Name
Class
Date
1.
μ = 70 , σ = 8 , X = 50 . Find z score
a)
2.5
b)
-2.5
c)
5.2
d)
-5.2
2.

Brian scored an 80% on a Chemistry Exam. The average on the exam was a 68%, with a standard deviation of 5%. What is Brian's z-score?

a)

2.4

b)

-2.4

c)

1.1

d)

-1.1

3.

IQ tests have a mean of 100 and SD of 16. Einstein's IQ was 160. What is the z-score of his IQ?

a)

1.75

b)

3.75

c)

0.75

d)

2.75

4.

Find the area under the standard normal curve that lies to the left of z=2.1.

a)

1.79%

b)

-1.79%

c)

98.21%

d)

0.98%

5.

Find the area under the standard normal curve that lies to the right of z=-0.67.

a)

63.42%

b)

74.86%

c)

25.14%

d)

50%

6.

Find the area under the standard normal curve that lies between z=-0.5 and z=1.5.

a)

62.46%

b)

72.47%

c)

5.40%

d)

62.47%

7.
The average waist size for teenage males is 29 inches with a standard deviation of 2 inches. 
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.  
a)
2
b)
1
c)
-2
d)
-1
8.
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 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
9.

Pat and Tom took a test with mean 80 and SD 9. Pat scored a 76; Tom scored a 94. Find the percent of people between their scores.

a)

68.78%

b)

63.29%

c)

61.06%

d)

34.25%

10.

Test has a mean of 40 and a standard deviation of 10. What is the percent of people that scored above 62?

a)

1.39%

b)

45.34%

c)

98.41%

d)

22.34%

11.

Test has a mean of 40, standard deviation of 10. What is the percent of people with a score below 37?

a)

52.97%

b)

31.53%

c)

48.99%

d)

38.21%

12.

A test has a mean of 40 and a standard deviation of 10. What is the percent of people that scored between 30 and 40?

a)

68%

b)

34%

c)

13.6%

d)

100%