Tough GMAT Quant Questions - Statistics

Must solve GMAT practice questions in Descriptive Statistics. About 2 to 3 questions appear in the GMAT quant section from this topic. The easier questions tend to focus on mean and the more difficult questions from this topic include additional concepts including median, mode, range and deivation.

The categorization of the type of question and the concept tested are listed in the right column for each question. Detailed explanatory answers, solution videos and slide decks are also provided.

  • 1
  • Consider a set S = {2, 4, 6, 8, x, y} with distinct elements. If x and y are both prime numbers and 0 < x < 40 and 0 < y < 40, which of the following MUST be true? I. The maximum possible range of the set is greater than 33.
    II. The median can never be an even number.
    III. If y = 37, the average of the set will be greater than the median.

    A. I only
    B. I and II only
    C. I and III only
    D. III only
    E. I, II, and III


  • 2
  • Three positive integers a, b, and c are such that their average is 20 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c? A. 23
    B. 21
    C. 25
    D. 26
    E. 24