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# Linda purchased 3 books at a book fair. What was the median price of

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Math Expert
Joined: 02 Sep 2009
Posts: 50058
Linda purchased 3 books at a book fair. What was the median price of  [#permalink]

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11 Nov 2017, 09:12
1
1
00:00

Difficulty:

55% (hard)

Question Stats:

52% (01:07) correct 48% (00:55) wrong based on 51 sessions

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Linda purchased 3 books at a book fair. What was the median price of the 3 books?

(1) The average (arithmetic mean) price of the 3 books was \$1.5

(2) The price of one of the 3 books was \$1.5

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Re: Linda purchased 3 books at a book fair. What was the median price of  [#permalink]

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11 Nov 2017, 09:27
1
C

Let the cost of books be x y and z.

1: x+y+z=4.5. Clearly insufficient.
2: no info about the other two books.

Combining,
We get x=1 or 1.2 or 1.5, y=1.5, and z=2 or 1.8 or 1.5. x and z can be any value. But the median is always 1.5. Hence C

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Re: Linda purchased 3 books at a book fair. What was the median price of  [#permalink]

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11 Nov 2017, 09:31
1
Median means the entry needs to be present in the list. Having the average isn't enough. So, 1 is not sufficient

2 is not sufficient as it doesn't mention the price of the other two books.

Combining both the statements: The average is 3 and one of the entry is 1.5

Since one of the entry is 1.5, we are left with 3 as the price of two other books combined. Any combination of 2 numbers adding to 3 will follow two pattern:
--> either both are 1.5 each
--> one is smaller and the other is greater than 1.5. both simultaneously can't be smaller or bigger than 1.5

In both the patterns above, 1.5 will lie in the middle of the list, Nd hence, 1.5 is the median

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Re: Linda purchased 3 books at a book fair. What was the median price of &nbs [#permalink] 11 Nov 2017, 09:31
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