GRE General TestQuantitative ReasoningEasy

A data analyst is examining the ages of participants in a study. The ages are 24, 28, 30, 32, 35, 38. What is the median age of the participants?

  1. A30
  2. B31.5
  3. C31
  4. D32
Show answer & explanation

Correct answer: B. 31.5

Since the data set has an even number of values, the median is the average of the two middle values after ordering them.

Why the other options are wrong

  • A. This is one of the middle numbers, but not the average of the two.
  • C. This is a plausible miscalculation or rounding error.
  • D. This is one of the middle numbers, but not the average of the two.

Median with Even Data Sets

For a data set with an even number of values, the median is the average of the two middle values after the data has been ordered from least to greatest.

  • Data must be ordered.
  • Identify the two central values.
  • Calculate their arithmetic mean.

Memory trick: Even Median's Average: Order the numbers, find the two middle ones, then average them out!

More Quantitative Reasoning questions