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14 Oct 2025, 10:40
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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The following table shows the weekly spending of a small business on office supplies.
For what values of x are both the mean (average) and the median weekly spending for the entire period between 60 and 70 dollars?
Indicate all that apply.
A. 65
B. 72
C. 80
D. 83
E. 89
GMAT-Club-Forum-go4zarhj.png [ 12.16 KiB | Viewed 56 times ]
For what values of x are both the mean (average) and the median weekly spending for the entire period between 60 and 70 dollars?
Indicate all that apply.
A. 65
B. 72
C. 80
D. 83
E. 89
Attachment:
GMAT-Club-Forum-go4zarhj.png [ 12.16 KiB | Viewed 56 times ]
18 Oct 2025, 03:41
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Official Explanation
Start by arranging the five known numbers in order from least to greatest: 0, 12, 54, 88, 185. If x > 88, then 54 and 88 become the two middle values, and the median
This is not between 60 and 70, so (E) is not correct.
If x = 65, choice (A), 54 and 65 become the two middle values, and the median
So (A) is not correct.
The average of six numbers will be between 60 and 70 when their sum, or total, is between 6 × 60 = 360 and 6 × 70 = 420. The sum of the weekly spending figures given is 0 + 12 + 54 + 88 + 185 + x = 339 + x. Then 360 < 339 + x < 420. Subtracting 339 from all three branches of the inequality yields 21 < x < 81. (D) is incorrect, because 83 > 81, so only choices (B) and (C) remain as correct.
Answer: B,C
GMAT-Club-Forum-uq36ewsp.png [ 14.97 KiB | Viewed 20 times ]
GMAT-Club-Forum-mbqvuq01.png [ 16.51 KiB | Viewed 21 times ]
Start by arranging the five known numbers in order from least to greatest: 0, 12, 54, 88, 185. If x > 88, then 54 and 88 become the two middle values, and the median
If x = 65, choice (A), 54 and 65 become the two middle values, and the median
So (A) is not correct.
The average of six numbers will be between 60 and 70 when their sum, or total, is between 6 × 60 = 360 and 6 × 70 = 420. The sum of the weekly spending figures given is 0 + 12 + 54 + 88 + 185 + x = 339 + x. Then 360 < 339 + x < 420. Subtracting 339 from all three branches of the inequality yields 21 < x < 81. (D) is incorrect, because 83 > 81, so only choices (B) and (C) remain as correct.
Answer: B,C
Attachment:
GMAT-Club-Forum-uq36ewsp.png [ 14.97 KiB | Viewed 20 times ]
Attachment:
GMAT-Club-Forum-mbqvuq01.png [ 16.51 KiB | Viewed 21 times ]
