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Normal Distribution Quiz

Total questions: 31

Worksheet time: 1hrs 13mins

Name
Class
Date
1.
What does the mean tell you about a data set
a)
It tells you the number that occurs the most
b)
It is the difference between the highest and lowest number
c)
It tells you the average of the data set
d)
It tells you how mad someone is at another persom
2.

Find the z-score for 75 given a mean of 60 and a standard deviation of 6.

a)

-2.5

b)

2.5

c)

-1.15

d)

1.15

3.

Find the z-score for 48 given a mean of 50 and a standard deviation of 5.

a)

2.5

b)

-2.5

c)

-0.4

d)

0.4

4.

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

5.

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

6.

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%

7.

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

a)

68%

b)

34%

c)

99.7%

d)

95%

8.

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

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)

65.14%

d)

34.25%

10.

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%

11.

Find the mean height of the basketball players in cm: 188, 189, 192, 193, 194, 194, 195, 195

a)

193.5

b)

195

c)

192.5

d)

194

12.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
13.
What is the the total area under the standard normal distribution curve?
a)
100
b)
25
c)
.5
d)
1
14.
1.  Which best describes the shaded part of this normal distribution graph?  
a)
All data that is one or higher.
b)
All data that is one or more standard deviations above the mean.
c)
All data that is between 1 and 3.
d)
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?
a)
26-32
b)
3-29
c)
26-29
d)
39-32
16.

What is the the total probability under the normal distribution curve?

a)

10%

b)

25%

c)

.5%

d)

100%

17.

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

a)

68%

b)

95%

c)

99.8%

d)

50%

18.

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

a)

68%

b)

95%

c)

99.8%

d)

50%

19.

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

a)

68%

b)

95%

c)

99.8%

d)

50%

20.

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

a)

68%

b)

32%

c)

16%

d)

50%

21.

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

a)

5%

b)

95%

c)

2.5%

d)

50%

22.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
5%
b)
95%
c)
2.5%
d)
50%
23.

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

a)

99.8%

b)

0.2%

c)

0.15%

d)

50%

24.
The z-score represents.....
a)
the amount of standard deviations a data value is above or below the mean.
b)
the percentile the data value is above or below the mean.
c)
the amount of standard deviations a data value is above or below the median.
d)
the percent the data value is above or below the mean.
25.
Find the area of the shaded region. 
a)
0.16
b)
0.84
c)
0.68
d)
0.34
26.
Find the area of the shaded region. 
a)
0.16
b)
0.84
c)
0.68
d)
0.34
27.
Find the area of the shaded region. 
a)
0.16
b)
0.84
c)
0.68
d)
0.34
28.
μ = 70 , σ = 8 , X = 50 . Find z score
a)
2.5
b)
-2.5
c)
5.2
d)
-5.2
29.

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

a)

2.26

b)

16.45

c)

-2.26

d)

1.26

30.

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

a)

0.77

b)

5.33

c)

1.07

d)

1.26

31.

Find the Z-score.

Mean = 27

Standard Deviation: 1.4

x = 11

a)

-11.43

b)

7.85

c)

-2.33

d)

4.16

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