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The average of 5 distinct positive integers if 33. What are the maximu 15 Apr 2020, 05:54
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C
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The average of 5 distinct positive integers if 33. What are the maximum and minimum possible values of the median of these 5 numbers if the average of the three largest numbers is 39?

A. 38 and 28
B. 38 and 27
C. 38 and 26
D. 37 and 26
E. 36 and 26


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C
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The average of 5 distinct positive integers if 33. What are the maximu 15 Apr 2020, 06:07
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Bunuel
The average of 5 distinct positive integers if 33. What are the maximum and minimum possible values of the median of these 5 numbers if the average of the three largest numbers is 39?

A. 38 and 28
B. 38 and 27
C. 38 and 26
D. 37 and 26
E. 36 and 26


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Please find the video solution for better understanding of steps

Answer: Option C

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The average of 5 distinct positive integers if 33. What are the maximu 15 Apr 2020, 08:56
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Bunuel
The average of 5 distinct positive integers if 33. What are the maximum and minimum possible values of the median of these 5 numbers if the average of the three largest numbers is 39?

A. 38 and 28
B. 38 and 27
C. 38 and 26
D. 37 and 26
E. 36 and 26

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T(5) = 165
T(largest 3) = 117
T(smallest 2) = 48
minimum median will occur when numbers before median have minimum difference,
23,25,26
maximum median will occur when numbers above medians have minimum difference
\(117/3=39\)
numbers above median can be 39,39,39. but the numbers are distinct
38,39,40 gives the maximum median.
Ans: C
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The average of 5 distinct positive integers if 33. What are the maximu 25 Aug 2021, 07:24
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Bunuel
The average of 5 distinct positive integers if 33. What are the maximum and minimum possible values of the median of these 5 numbers if the average of the three largest numbers is 39?

A. 38 and 28
B. 38 and 27
C. 38 and 26
D. 37 and 26
E. 36 and 26

Show more

The sum of all 5 numbers is 5*33 = 165. The sum of the largest is 3*39 = 117. Then we know the smallest two numbers add up to 165 - 117 = 48. If we want to minimize the median, we can let the two smallest numbers be 23 and 25. Then the median can be 26.

For the highest median, we can declare the biggest three numbers as 38, 39, and 40 as they must have an average of 39. Then 38 is the highest median.

Ans: B
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The average of 5 distinct positive integers if 33. What are the maximu 16 Sep 2024, 09:01
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