If a data set has a range of 50 and every number in the data set is increased by 10, what is the range of the new data set?

The range of a data set is determined by the difference between the largest and smallest values in that set. If the original data set has a range of 50, it means that the difference between the maximum and minimum values is 50.

When every number in the data set is increased by 10, both the maximum and minimum values are also increased by 10. This means that the new maximum value is the original maximum plus 10, and the new minimum value is the original minimum plus 10.

Since the operation of adding the same constant (10 in this case) to all numbers in the data set does not affect the distance between the maximum and minimum values, the new maximum minus the new minimum still equals the same difference as before. Therefore, the range remains unchanged at 50.

This is why the correct response reflects that the range of the new data set is still 50.