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Benjamin’s average (arithmetic mean) on the six biology test
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23 Jan 2019, 16:18
23 Jan 2019, 16:18
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62% (01:42) correct
37% (02:06) wrong based on 102 sessions
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Benjamin’s average (arithmetic mean) on the six biology tests he took last semester was 89. On each of his first five tests, his grade was between 90 and 100, inclusive. Which of the following could have been his grade on his sixth test?
Indicate all such grades.
A. 15
B. 25
C. 35
D. 45
E. 55
F. 65
G. 75
H. 85
I. 95
Indicate all such grades.
A. 15
B. 25
C. 35
D. 45
E. 55
F. 65
G. 75
H. 85
I. 95
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Official Answer
C,D,E,F,G
Re: Benjamin’s average (arithmetic mean) on the six biology test
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28 Jan 2019, 00:01
28 Jan 2019, 00:01
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Expert Reply
All we have to do is find out the sum total of the 6 grades, for that we just multiply the average by the number of tests taken.
89*6=534
if the previous 5 tests were between 90 and 100, that means that the lowest test average of 90 out of 5 tests would be 90*5=450, and the test average of 100 would be 100*5=500
then just subtract the different sums of the 5 tests from the sum total of 6 tests.
534-450=84
534-500=34
then we choose any number between 34 and 84, and we choose C,D,E,F,G
89*6=534
if the previous 5 tests were between 90 and 100, that means that the lowest test average of 90 out of 5 tests would be 90*5=450, and the test average of 100 would be 100*5=500
then just subtract the different sums of the 5 tests from the sum total of 6 tests.
534-450=84
534-500=34
then we choose any number between 34 and 84, and we choose C,D,E,F,G
Re: Benjamin’s average (arithmetic mean) on the six biology test
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06 Jan 2022, 09:39
06 Jan 2022, 09:39
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