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10 May 2021, 06:18
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C
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Difficulty:
75%
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Question Stats:
61% (02:42) correct
39%
(02:31)
wrong
based on 241
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Mode of 7 students scores is 87, average is 80, median 82, and lowest score is 70. Which of the following is the maximum value of highest score among 7 students, if scores are integers.
- A) 94
- B) 93
- C) 91
- D) 88
- E) 87
10 May 2021, 08:03
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Answer: C
total numbers = 7
Let's say n1=70 (lowest), n4=82 (median), n5=n6=87 (mode)
Ang = 80, sum=80*7=560
n2 + n3 + n7 = 560-70-82-87-87 = 234
Now the lowest number is 70, if I take other two numbers n2=71 and n3=72 then n7=91
and if I take n1=70, n2=n3=71 then mode should have the number, which repeats 3 times, then 87 should be in the set 3 times. but then sum is not 560.
So the max number should be 91.
total numbers = 7
Let's say n1=70 (lowest), n4=82 (median), n5=n6=87 (mode)
Ang = 80, sum=80*7=560
n2 + n3 + n7 = 560-70-82-87-87 = 234
Now the lowest number is 70, if I take other two numbers n2=71 and n3=72 then n7=91
and if I take n1=70, n2=n3=71 then mode should have the number, which repeats 3 times, then 87 should be in the set 3 times. but then sum is not 560.
So the max number should be 91.
General Discussion
18 Aug 2021, 03:59
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Why are we not considering decimal numbers as lowest marks because a student can score 70.5 as well ?
Posted from my mobile device
Posted from my mobile device
