Name: 
 

Normal Distributions 2


 1 
In a standard distribution, what is the greatest percent of the data that falls within 2 standard deviations of the mean?
a)
95
c)
68
b)
81.5
d)
34
 

 2 
The national mean for verbal scores on an exam was 428 and the standard deviation was 113.  Approximately what percent of those taking this test had verbal scores between 315 and 541?
a)
68.2%
c)
38.2%
b)
52.8%
d)
26.4%
 

 3 
On a standardized test with a normal distribution, the mean was 64.3 and the standard deviation was 5.4.  What is the best approximation of the percent of scores that fell between 61.6 and 75.1?
a)
38.2%
c)
68.2%
b)
66.8%
d)
95%
 

 4 
A set of scores with a normal distribution has a mean of 50 and a standard deviation of 7.  Approximately what percent of the scores fall in the range 36-64?
a)
mc004-1.jpg
c)
mc004-3.jpg
b)
mc004-2.jpg
d)
mc004-4.jpg
 

 5 
The scores of an exam have a normal distribution.  The mean of the scores is 48 and the standard deviation is 5.  Approximately what percent of the students taking the exam can be expected to score between 43 and 53?
a)
95%
c)
34%
b)
mc005-1.jpg
d)
13%
 

 6 
On a standardized test, the mean is 48 and the standard deviation is 4.  Approximately what percent of the scores will fall in the range from 36-60?
a)
34%
c)
95%
b)
68%
d)
98%
 

 7 
The scores on an examination have a normal distribution.  The mean of the scores is 50, and the standard deviation is 4.  What is the best approximation of the percentage of students who can be expected to score between 46 and 54?
a)
95%
c)
50%
b)
68%
d)
34%
 

 8 
On a standardized test, the mean is 68 and the standard deviation is 4.5.  What is the best approximation of the percent of scores that will fall in the range mc008-1.jpg?
a)
34%
c)
95%
b)
68%
d)
99%
 

 9 
If the mean on a standardized test with a normal distribution is 54.3 and the standard deviation is 4.6, what is the best approximation of the percent of the scores that fall between 54.3 and 63.5?
a)
34
c)
68
b)
47.5
d)
95
 

 10 
On a standardized test with a normal distribution, the mean is 88.  If the standard deviation is 4, the percentage of grades that would be expected to lie between 80 and 96 is closest to
a)
5
c)
68
b)
34
d)
95
 

 11 
On a standardized test, the mean is 83 and the standard deviation is 3.5.  What is the best approximation of the percentage of scores that fall in the range mc011-1.jpg?
a)
34
c)
95
b)
68
d)
99
 

 12 
The students’ scores on a standardized test with a normal distribution have a mean of 500 and a standard deviation of 40.  What percent of the students scored between 420 and 580?
a)
47.5%
c)
95%
b)
68%
d)
99.5%
 

 13 
On a mathematics quiz with a normal distribution, the mean is 8.  If the standard deviation is 0.5, what is the best approximation of the percentage of grades that lie between 7 and 9?
a)
5%
c)
68%
b)
34%
d)
95%
 

 14 
Battery lifetime is normally distributed for large samples.  The mean lifetime is 500 days and the standard deviation is 61 days.  Approximately what percent of batteries have lifetimes longer than 561 days?
a)
16%
c)
68%
b)
34%
d)
84%
 

 15 
The scores on a test approximate a normal distribution with a mean score of 72 and a standard deviation of 9.  Approximately what percent of the students taking the test received a score greater than 90?
a)
mc015-1.jpg
c)
mc015-3.jpg
b)
mc015-2.jpg
d)
mc015-4.jpg
 

 16 
A test was given to 120 students, and the scores approximated a normal distribution. If the mean score was 72 with a standard deviation of 7, approximately what percent of the scores were 65 or higher?
a)
50%
c)
76%
b)
68%
d)
84%
 

 17 
The heights of women in the United States are normally distributed with a mean of 64 inches and a standard deviation of 2.75 inches.  The percent of women whose heights are between 64 and 69.5 inches, to the nearest whole percent, is
a)
6
c)
68
b)
48
d)
95
 

 18 
On a standardized test, the distribution of scores is normal, the mean of the scores is 75, and the standard deviation is 5.8.  If a student scored 83, the student’s score ranks
a)
below the 75th percentile
b)
between the 75th percentile and the 84th percentile
c)
between the 84th percentile and the 97th percentile
d)
above the 97th percentile
 

 19 
The scores on a standardized exam have a mean of 82 and a standard deviation of 3.6.  Assuming a normal distribution, a student's score of 91 would rank
a)
below the 75th percentile
c)
between the 85th and 95th percentiles
b)
between the 75th and 85th percentiles
d)
above the 95th percentile
 

 20 
The lengths of 100 pipes have a normal distribution with a mean of 102.4 inches and a standard deviation of 0.2 inch.  If one of the pipes measures exactly 102.1 inches, its length lies
a)
below the 16th percentile
c)
between the 16th and 50th percentiles
b)
between the 50th and 84th percentiles
d)
above the 84th percentile
 



 
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