Set S consists of five distinct integers: 14, 22, 18, 9, and 31. What is the range of the … — GMAT

Set $S$ consists of five distinct integers: $14, 22, 18, 9,$ and $31$ . What is the range of the numbers in Set $S$ ?

Answer: 22

The range of the numbers in Set

S

22

To find the range of a set of numbers, subtract the minimum value from the maximum value in the set. For Set

S = \{14, 22, 18, 9, 31\}

, the maximum value is

31

and the minimum value is

9

. Subtracting the minimum from the maximum gives

31 - 9 = 22

Identify the maximum and minimum elements in the given set.

The maximum element is

31

and the minimum element is

9

The range of a dataset is defined as the difference between its greatest and least values.

Subtract the minimum value from the maximum value.

31 - 9 = 22

Applying the formula

\text{Range} = \text{Maximum} - \text{Minimum}

yields the range of the set.

Range of a Numerical Data Set

Question