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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 set {3, 7, 7, 11, 12} has what median?

    Answer: 7

    With 5 ordered values the median is the third value, which is 7.

  2. What is the mode of the data set {2, 4, 4, 6, 9, 9, 9}?

    Answer: 9

    9 appears three times, more than any other value.

  3. The average of 5 numbers is 20. If a sixth number, 32, is added, what is the new average?

    Answer: 22

    The original sum is 100; adding 32 gives 132, and 132/6 = 22.

  4. If set A has 8 elements and set B has 5 elements, what is the maximum possible number of elements in A ∪ B?

    Answer: 13

    The union is largest when the sets are disjoint, giving 8 + 5 = 13.

  5. The range of a data set is 24 and its smallest value is 6. What is the largest value?

    Answer: 30

    Range = max − min, so max = 24 + 6 = 30.

  6. In a group of 30 people, 18 like coffee and 14 like tea, with 5 liking both. How many like neither?

    Answer: 3

    Liking at least one = 18 + 14 − 5 = 27, so 30 − 27 = 3 like neither.

  7. What is the arithmetic mean of the first five positive even integers?

    Answer: 6

    The integers 2, 4, 6, 8, 10 sum to 30, and 30/5 = 6.