Name: 
 

Normal Distributions


 1 
On a standardized test, Cathy had a score of 74, which was exactly 1 standard deviation below the mean.  If the standard deviation for the test is 6, what is the mean score for the test?
a)
68
c)
77
b)
71
d)
80
 

 2 
On a standardized test, a score of 82 falls exactly 1 standard deviation below the mean.  If the standard deviation for the test is 4, what is the mean score for the test?
a)
78
c)
84
b)
80
d)
86
 

 3 
On a standardized test, Phyllis scored 84, exactly one standard deviation above the mean.  If the standard deviation for the test is 6, what is the mean score for the test?
a)
72
c)
84
b)
78
d)
90
 

 4 
On a standardized test, a score of 86 falls exactly 1.5 standard deviations below the mean.  If the standard deviation for the test is 2, what is the mean score for this test?
a)
84
c)
87.5
b)
84.5
d)
89
 

 5 
On a standardized examination, Laura received a score of 85, which was exactly 2 standard deviations above the mean.  If the standard deviation for the examination is 4, what is the mean for this examination?
a)
93
c)
83
b)
87
d)
77
 

 6 
In the accompanying diagram, the shaded area represents approximately 95% of the scores on a standardized test.  If these scores ranged from 78 to 92, which could be the standard deviation?

mc006-1.jpg
a)
3.5
c)
14.0
b)
7.0
d)
20.0
 

 7 
In the accompanying diagram, about 68% of the scores fall within the shaded area, which is symmetric about the mean, mc007-1.jpg.  The distribution is normal and the scores in the shaded area range from 50 to 80.

mc007-2.jpg

What is the standard deviation of the scores in this distribution?
a)
mc007-3.jpg
c)
30
b)
15
d)
65
 

 8 
The heights of the members of a high school class are normally distributed.  If the mean height is 65 inches and a height of 72 inches represents the 84th percentile, what is the standard deviation for this distribution?
a)
7
c)
12
b)
11
d)
137
 

 9 
The heights of a group of girls are normally distributed with a mean of 66 inches.  If 95% of the heights of these girls are between 63 and 69 inches, what is the standard deviation for this group?
a)
1
c)
3
b)
1.5
d)
6
 

 10 
In a normal distribution, mc010-1.jpg and mc010-2.jpg when mc010-3.jpg represents the mean and mc010-4.jpg represents the standard deviation.  The standard deviation is
a)
10
c)
30
b)
20
d)
60
 



 
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