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Quantitative: Statistics and Sets Problems Flashcards

7 cards from real GMAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Quantitative: Statistics and Sets Problems flashcards as text

  1. The numbers 7, 7, 8, 10, 13 have what range?

    Answer: 6

    Range = 13 − 7 = 6.

  2. A set of consecutive integers from 1 to 9 has what mean?

    Answer: 5

    For consecutive integers the mean equals the median, which is 5.

  3. If 60% of 50 students passed a test, how many failed?

    Answer: 20

    60% passed means 40% failed, and 0.40 × 50 = 20.

  4. A set has 3 elements all distinct. How many proper subsets does it have?

    Answer: 7

    Total subsets are 2^3 = 8, and proper subsets exclude the set itself, leaving 7.

  5. The average of x and y is 14, and the average of x, y, and z is 16. What is z?

    Answer: 20

    x + y = 28 and x + y + z = 48, so z = 20.

  6. In a survey, every respondent owns a car, a bike, or both. If 50 own cars, 30 own bikes, and 65 total responded, how many own both?

    Answer: 15

    Both = 50 + 30 − 65 = 15.

  7. If a data set's mean is greater than its median, the distribution is most likely:

    Answer: Skewed right

    A mean above the median indicates a right (positive) skew pulled by larger values.