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GRE Average & Statistics Practice Questions


Concepts Tested in Averages and Statistics

One can expect one to three questions in the GRE quant section from Averages and Statistics. While this is an easy topic at the concept level, one can set really interesting questions in this topic because there are more than one way to combine the different statistical parameters in a question. The following concepts are tested in Averages and Statistics in the GRE test.

  • Simple Arithmetic Mean - Average
  • Concept of weighted average
  • Inclusion of exclusion of elements and concomittant change in the average of a set of elements
  • Concept of Range of numbers and determining maximum and minimum range
  • Mode for a data set. Multi modal data sets.
  • Median for a small finite set. Median for large sets of data. 50th percentile concept
  • Standard Deviation and variance for a set of data.
  • Properties of standard deviation - how it behaves when a 'k' is added or multiplied to all elements of a data set.

Practice Questions in Mean, Median, Mode, Range & SD

  1. The average (arithmetic mean) of x and y is 30. If z = 10, what is the average of x, y, and z?
    1. 13 ⅓
    2. 21 ¼
    3. 23 ⅓
    4. 21 ⅓
    5. 22 ¼
  2. If the average (arithmetic mean) of 5 consecutive integers is 11, what is the sum of the least and greatest of the 5 integers?
    1. 23
    2. 22
    3. 21
    4. 20
    5. 19

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