Question

what is the range of the table of data below? {8, 10, 13, 4} {-2, 0, 3, 4} {-2, 0, 3, 4, 8, 10, 13, 14}

Explanation:

Step1: Recall range definition

The range of a set of data is the difference between the maximum and minimum values.

Step2: Identify maximum value

In the set of \(y -\)values \(\{14, 13, 10, 8\}\), the maximum value is \(14\).

Step3: Identify minimum value

In the set of \(y -\)values \(\{14, 13, 10, 8\}\), the minimum value is \(8\).

Step4: Calculate the range

Range = Maximum - Minimum = \(14 - 8=6\). But if we consider the set of all \(y -\)values as \(\{8, 10, 13, 14\}\), the range is \(14 - 8 = 6\). The range of the \(y -\)values (which is what we are interested in for the range of the table data) is the set of all possible output values. The set of \(y -\)values for the table is \(\{8, 10, 13, 14\}\).

Answer:

\(\{8, 10, 13, 14\}\)