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Normal Distribution and Z Scores

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Find the z-score for 258 given a mean of 273 and a standard deviation of 5.

a)

3

b)

-2

c)

2

d)

-3

2.

Find the z-score for 62 given a mean of 30 and a standard deviation of 20.

a)

1.6

b)

-1.6

c)

11.6

d)

-11.6

3.

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%

4.

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%

5.

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%

6.

What percentage of scores falls within 3 standard deviations of the mean?

a)

68%

b)

34%

c)

99.7%

d)

95%

7.

Find the z-score with 20% of observations falling above it.

a)

z=-0.84

b)

z=1.84

c)

z=-1.84

d)

z=0.84

8.

A 5th grader takes a test (mean=125, SD=15) and scores a 148. What is the child's percentile rank?

a)

93%

b)

68%

c)

7%

d)

99.7%

9.

Mean=11, SD=30. Find the raw score (X) for z=-1.5

a)

35

b)

45

c)

55

d)

65

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%