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12 May 2017, 05:15
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If the average (arithmetic mean) score for a certain student in Ms Sweeney's class is 74 on his first 6 tests then how many points must that student score on this next test to bring his overall average to 78?
A. 102
B. 84
C. 78
D. 76
E. 74
A. 102
B. 84
C. 78
D. 76
E. 74
12 May 2017, 05:33
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Bunuel
If the average (arithmetic mean) score for a certain student in Ms Sweeney's class is 74 on his first 6 tests then how many points must that student score on this next test to bring his overall average to 78?
A. 102
B. 84
C. 78
D. 76
E. 74
A. 102
B. 84
C. 78
D. 76
E. 74
Since student scored average of 74 in the first 6 tests & we need to increase his average from 74 to 78 from the 7th test
So student should score 74+ 7*4 = 102
OR
So student should score 78 +6*4 = 102.
Answer A
Bunuel
If the average (arithmetic mean) score for a certain student in Ms Sweeney's class is 74 on his first 6 tests then how many points must that student score on this next test to bring his overall average to 78?
A. 102
B. 84
C. 78
D. 76
E. 74
Old-fashioned but quick, see diagram below ... A*n=SA. 102
B. 84
C. 78
D. 76
E. 74
1. Find the total current point score total (sum) by multiplying his current average (74, given) by the 6 tests he has taken: 74 * 6 = 444
2. To find what score he needs to boost his overall average, first find needed overall points (second sum):
a. find what would be the overall new number of tests: 6 + 1 = 7
b. take the hoped-for average (78, given), multiply by overall number of tests: 78 * 7 = 546
3. Then, to find the value for the score he needs, simply subtract old total from needed total: 546-444 =
102, Answer A
Attachment:
TEST SCORE AVE FROM 74 TO 78.jpg [ 33.52 KiB | Viewed 1841 times ]
