Question

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

Explanation:

Step1: Find the range of the data - set

The range is calculated as the difference between the maximum and minimum values. The minimum value in the data - set is 53 and the maximum is 97. So, the range is $97 - 53=44$.

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

Any number other than 53 and 97 can be removed without changing the range. For example, 68.

Step3: Determine a number that will change the range

If either 53 or 97 is removed, the range will change. For example, if 53 is removed, the new minimum will be 54 and the range will be $97 - 54 = 43$.

Answer:

First question: 68
Second question: 53