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Normal Distributions 5


 1 
The scores on a 100 point exam are normally distributed with a mean of 80 and a standard deviation of 6.  A student's score places him between the 69th and 70th percentile.  Which of the following best represents his score?
a)
66
c)
84
b)
81
d)
86
 

 2 
In a standardized test with a normal distribution of scores, the mean is 63 and the standard deviation is 5.  Which score can be expected to occur most often?
a)
45
c)
65
b)
55
d)
74
 

 3 
In a certain population, the mean score on a test is 420.  The standard deviation is 105.  If the distribution of scores is normal, which of these scores should occur most often?
a)
540
c)
385
b)
526
d)
314
 

 4 
In a set of scores has a normal distribution and the mean is 200, which score has the greatest probability of being chosen at random?
a)
230
c)
176
b)
228
d)
168
 

 5 
A set of scores with a normal distribution has a mean of 32 and a standard deviation of 3.7.  Which score could be expected to occur the least often?
a)
26
c)
36
b)
29
d)
40
 

 6 
The mean score on a normally distributed exam is 42 with a standard deviation of 12.1.  Which score would be expected to occur less than 5% of the time?
a)
25
c)
60
b)
32
d)
67
 

 7 
If the mean of a test score is 30 and the standard deviation is 3.7, which score could be expected to occur less than 5% of the time?
a)
35
c)
25
b)
33.8
d)
22
 

 8 
On a standardized test, the mean is 61 and the standard deviation is 3.2.  Which score can be expected to occur less than 3% of the time?
a)
50
c)
62
b)
56
d)
65
 

 9 
On a test, the mean score is 25 and the standard deviation is 2.3.  Which score could be expected to occur less than 5% of the time?
a)
20
c)
23
b)
28
d)
24
 

 10 
Liz has applied to a college that requires students to score in the top 6.7% on the mathematics portion of an aptitude test.  The scores on the test are approximately normally distributed with a mean score of 576 and a standard deviation of 104.  What is the minimum score Liz must earn to meet this requirement?
a)
680
c)
740
b)
732
d)
784
 

 11 
One thousand students took a test resulting in a normal distribution of the scores with a mean of 80 and a standard deviation of 5.  Approximately how many students scored between 75 and 85?
a)
950
c)
680
b)
815
d)
475
 

 12 
On a standardized test with normal distribution, the mean is 75 and the standard deviation is 6.  If 1200 students took the test, approximately how many students would be expected to score between 69 and 81?
a)
408
c)
816
b)
600
d)
1140
 

 13 
The amount of ketchup dispensed from a machine at Hamburger Palace is normally distributed with a mean of 0.9 ounce and a standard deviation of 0.1 ounce.  If the machine is used 500 times, approximately how many times will it be expected to dispense 1 or more ounces of ketchup?
a)
5
c)
80
b)
16
d)
100
 

 14 
The scores of 1000 students on a standardized test were normally distributed with a mean of 50 and a standard deviation of 5.  What is the expected number of students who had scores greater than 60?
a)
1.7
c)
46
b)
23
d)
304
 

 15 
An amateur bowler calculated his bowling average for the season.  If the data are normally distributed, about how many of his 50 games were within one standard deviation of the mean?
a)
14
c)
34
b)
17
d)
48
 

 16 
The heights of a group of 1000 women are normally distributed.  The mean height of the group is 170 centimeters (cm) with a standard deviation of 10 cm.  What is the best approximation of the number of women between 170 cm and 180 cm tall?
a)
950
c)
340
b)
680
d)
170
 



 
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