Math Exam Worksheet With Answer Key - Math 103/gracey Page 15
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22Solve the problem.
30) A student earned grades of 91, 76, 92, and 79 on her four regular tests. She earned a grade of 79 on
30)
the final exam and 85 on her class projects. Her combined homework grade was 87. The four
regular tests count for 40% of the final grade, the final exam counts for 30%, the project counts for
10%, and homework counts for 20%. What is her weighted mean grade? Round to one decimal
place.
A) 84.2
B) 84.1
C) 82.4
D) 83.4
Find the range for the given sample data.
31) Rich Borne teaches Chemistry 101. Last week he gave his students a quiz. Their scores are listed
31)
below.
22 31 47 29 31 12 48 41 50 56 37 22
A) 44
B) 9
C) 12
D) 56
Find the variance for the given data. Round your answer to one more decimal place than the original data.
32) 19 11 12 7 11
32)
A) 19.0
B) 15.2
C) 49.0
D) 18.9
Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in
the original data.
33) The top nine scores on the organic chemistry midterm are as follows.
33)
37, 24, 53, 49, 44, 63, 28, 49, 30
A) 13.9
B) 13.0
C) 5.2
D) 12.3
Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one
decimal place.
34) Compare the variation in heights to the variation in weights of thirteen-year old girls. The heights
34)
(in inches) and weights (in pounds) of nine randomly selected thirteen-year old girls are listed
below.
Heights (inches): 59.2 61.4 62.4
64.7 60.1 58.3
64.6 63.7
66.1
Weights (pounds): 86
94
92
119
96
90
123
98
139
A) Heights: 4.4%
Weights: 17.6%
There is substantially more variation in the weights than in the heights of the girls.
B) Heights: 4.1%
Weights: 16.7%
There is substantially more variation in the weights than in the heights of the girls.
C) Heights: 11.5%
Weights: 6.6%
There is substantially more variation in the heights than in the weights of the girls.
D) Heights: 4.6%
Weights: 18.4%
There is substantially more variation in the weights than in the heights of the girls.
15
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