Question

study the data set shown. then answer the questions below. enter a number that could be added to this data set that would not change the range. enter a number that could be added to this data set that would change the range.

Explanation:

Step1: Find the current range

The range of a data - set is calculated as the difference between the maximum and minimum values. In the given data set, the minimum value is 42 and the maximum value is 68. So the current range is $68 - 42=26$.

Step2: Determine a number that won't change the range

A number that won't change the range must be between 42 and 68 (inclusive). For example, 50.

Step3: Determine a number that will change the range

A number less than 42 (e.g., 40) or greater than 68 (e.g., 70) will change the range.

Answer:

A number that would not change the range: 50
A number that would change the range: 70