What happens to the range if both the highest and lowest scores in a dataset increase by 10?

The range of a dataset is calculated by subtracting the lowest score from the highest score. When both the highest and lowest scores increase by 10, the values of these scores change, but the difference between them remains constant.

For example, if the lowest score is originally 5 and the highest score is 15, the range is calculated as 15 - 5 = 10. If both scores increase by 10, the new lowest score becomes 15 and the new highest score becomes 25. The new range is now calculated as 25 - 15, which still equals 10. Hence, the range does not change even though the individual scores have increased.

This principle reflects the fact that the range is only concerned with the difference between the extreme values in the data set, and not their actual values. Therefore, when both the highest and lowest values are adjusted equally, the overall range remains unaffected.