Question

Look at this set of 7 numbers:

6 9 3
6 8
6 3
By how much would the range increase if the number 5 replaced the number 8 in the set?

Answer 1

The range would stay the same.

Explanation:

The old set is 6 9 3 6 8 6 3

- range is 9-3 = 6.

The new set is 6 9 3 6 5 6 3

which has a range of 9 - 3 = 6.

Answer 2

no increase

Explanation:

the range is the difference between the largest and smallest values in the data set.

largest value = 9 and smallest value = 3 , then

range = 9 - 3 = 6

replacing 8 by 5 has no effect on the above 2 values , so no change