Name: 
 

Normal Distributions 3



 1 

In a New York City high school, a survey revealed the mean amount of cola consumed each week was 12 bottles and the standard deviation was 2.8 bottles.  Assuming the survey represents a normal distribution, how many bottles of cola per week will approximately 68.2% of the students drink?
a)
6.4 to 12
c)
9.2 to 14.8
b)
6.4 to 17.6
d)
12 to 20.4
 

 2 

The amount of juice dispensed from a machine is normally distributed with a mean of 10.50 ounces and a standard deviation of 0.75 ounce.  Which interval represents the amount of juice dispensed about 68.2% of the time?
a)
9.00–12.00
c)
9.75–11.25
b)
9.75–10.50
d)
10.50–11.25
 

 3 

On a standardized test, the mean is 76 and the standard deviation is 4.  Between which two scores will approximately 68% of the scores fall?
a)
68 and 84
c)
74 and 78
b)
72 and 80
d)
76 and 80
 

 4 

In a certain high school, a survey revealed the mean amount of bottled water consumed by students each day was 153 bottles with a standard deviation of 22 bottles.  Assuming the survey represented a normal distribution, what is the range of the number of bottled waters that approximately 68.2% of the students drink?
a)
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c)
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b)
mc004-3.jpg
d)
mc004-5.jpg
 

 5 

The mean of a normally distributed set of data is 56, and the standard deviation is 5.  In which interval do approximately 95.4% of all cases lie?
a)
46–56
c)
51–61
b)
46–66
d)
56–71
 

 6 

The heights of the girls in the eleventh grade are normally distributed with a mean of 66 inches and a standard deviation of 2.5 inches.  In which interval do approximately 95% of the heights fall?
a)
mc006-1.jpg inches
c)
mc006-3.jpg inches
b)
mc006-2.jpg inches
d)
mc006-4.jpg inches
 

 7 

The mean of a normally distributed set of data is 52 and the standard deviation is 4.  Approximately 95% of all the cases will lie between which measures?
a)
44 and 52
c)
48 and 56
b)
44 and 60
d)
52 and 64
 

 8 

On a standardized test with a normal distribution of scores, the mean score is 82 and the standard deviation is 6.  Which interval contains 95% of the scores?
a)
mc008-1.jpg
c)
mc008-3.jpg
b)
mc008-2.jpg
d)
mc008-4.jpg
 

 9 

A standardized test with a normal distribution of scores has a mean score of 43 and a standard deviation of 6.3.  Which range would contain the score of a student in the 90th percentile?
a)
mc009-1.jpg
c)
mc009-3.jpg
b)
mc009-2.jpg
d)
mc009-4.jpg
 

 10 

On a standardized test with a normal distribution, the mean is 20 and the standard deviation is 2.6.  In which interval would the greatest number of scores occur?
a)
mc010-1.jpg
c)
mc010-3.jpg
b)
mc010-2.jpg
d)
mc010-4.jpg
 



 
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