GMAT Quantitative: Statistics and Sets Problems 2

Question 1

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

Accepted Answer

7

Answer

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

Question 2

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

Accepted Answer

9

Answer

9 appears three times, more than any other value.

Question 3

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

Accepted Answer

22

Answer

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

Question 4

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

Accepted Answer

13

Answer

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

Question 5

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

Accepted Answer

30

Answer

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

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