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21 Mar 2022, 05:05
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B
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Difficulty:
45%
(medium)
Question Stats:
61% (01:57) correct
39%
(02:56)
wrong
based on 23
sessions
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Susan is looking at her cell phone bill from the last 6 months. April’s bill was four times that of all the other bills. If the median amount due for a month was $32, what was the average amount due in a month during those six months?
(A) $32
(B) $48
(C) $53
(D) $80
(E) $128
(A) $32
(B) $48
(C) $53
(D) $80
(E) $128
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21 Mar 2022, 17:50
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Bunuel
Susan is looking at her cell phone bill from the last 6 months. April’s bill was four times that of all the other bills. If the median amount due for a month was $32, what was the average amount due in a month during those six months?
(A) $32
(B) $48
(C) $53
(D) $80
(E) $128
(A) $32
(B) $48
(C) $53
(D) $80
(E) $128
Breaking Down the Info:
"April’s bill was four times that of all the other bills" implies that the rest of the 5 months have the same bill.
Then the median must be one of those months, and the rest of the 5 months have a bill of $32 each. April's bill must be 32*4 then.
Finally, the average would be \(\frac{32*5 + 32*4}{6} = 32 * \frac{3}{2} = 48\)
Answer: B
17 Oct 2024, 10:17
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JerryAtDreamScore
Bunuel
Susan is looking at her cell phone bill from the last 6 months. April’s bill was four times that of all the other bills. If the median amount due for a month was $32, what was the average amount due in a month during those six months?
(A) $32
(B) $48
(C) $53
(D) $80
(E) $128
(A) $32
(B) $48
(C) $53
(D) $80
(E) $128
Breaking Down the Info:
"April’s bill was four times that of all the other bills" implies that the rest of the 5 months have the same bill.
Then the median must be one of those months, and the rest of the 5 months have a bill of $32 each. April's bill must be 32*4 then.
Finally, the average would be \(\frac{32*5 + 32*4}{6} = 32 * \frac{3}{2} = 48\)
Answer: B
I don't entirely believe this is certain as the question mentions median. And the median can be April+ Any other month, or 2 other months excluding April. We don't know which 6 months are being discussed, hence, the issue. As the median is taken as the center value in a sorted set. Additonally, "April’s bill was four times that of all the other bills" - is this all the other bills combined or is it what you mentioned as all the other bills being of the same value.
