Question

Austin records his most recent bowling scores. His scores are shown below in order from least to greatest_

107, 130, 136, 140, 140, 142, 144, 167
Suppose that the score of 142 points changes to 156 points. Answer the following.
What happens to the range?
O The range increases by
O The range decreases by
O The range stays the same.

Answer 1

The adjustment of Austin's bowling score from 142 to 156 does not affect the range of his scores, as the highest and lowest scores remain unchanged. Therefore, the range stays the same. So the correct answer is Option c.

Step-by-step explanation:

When Austin's bowling score of 142 points changes to 156 points, we need to examine how this affects the range of his scores. The range of a set of numbers is the difference between the highest and lowest numbers. Initially, the lowest score is 107 and the highest is 167, so the original range is 167 - 107 = 60. After changing the score of 142 to 156, the lowest score is still 107, but the highest score remains 167. Therefore, the new range is still 167 - 107 = 60.

As a result, the range stays the same because the adjustment in the score did not affect the highest or lowest values in the set.