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1354 - Data Sufficiency

Data Sufficiency MCQ No. : 50178

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.

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Correct Answer: B

Explanation:

Arithmetic Statistics

The formula for calculating the arithmetic mean, or the average, is as follows: Average = sum of v values / v

  • (1) These data will produce an average of 2160/30 = 72° for last April in City X. However, there is no information regarding the median for comparison; NOT sufficient.
  • (2) The median is the middle temperature of the data. As such, 50 percent of the daily high temperatures will be at or above the median, and 50 percent will be at or below the median. If 60 percent of the daily high temperatures were less than the average daily high temperature, then the average of the daily highs must be greater than the median; SUFFICIENT.

The correct answer is B; statement 2 alone is sufficient.

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