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In City X last April, was the average (arithmetic mean)

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In City X last April, was the average (arithmetic mean)

by BTGmoderatorDC » Thu Aug 29, 2019 6:02 pm

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In City X last April, was the average (arithmetic mean) daily high temperature greater than the median daily high temperature?

(1) In City X last April, the sum of the 30 daily high temperatures was 2,160°.
(2) In City X last April, 60 percent of the daily high temperatures were less than the average daily high temperature.


OA B

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by Jay@ManhattanReview » Thu Aug 29, 2019 10:52 pm

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BTGmoderatorDC wrote:In City X last April, was the average (arithmetic mean) daily high temperature greater than the median daily high temperature?

(1) In City X last April, the sum of the 30 daily high temperatures was 2,160°.
(2) In City X last April, 60 percent of the daily high temperatures were less than the average daily high temperature.

OA B

Source: Official Guide
So, this is a question on comparison of average and median.

Let's take each statement one by one.

(1) In City X last April, the sum of the 30 daily high temperatures was 2,160°.

This information can only get us average; however, we do not know the value of the median. Insufficient.

(2) In City X last April, 60 percent of the daily high temperatures were less than the average daily high temperature.

We know that the median is the value of the 50% term; since 60 % of the daily high temperatures were less than the average daily high temperature, it is clear that the value of 50% term (temperature) must be less than the average daily high temperature. Sufficient.

The correct answer: B

Hope this helps!

-Jay
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