Look at this set of 7 numbers: 1, 6, 3, 9, 6, 1, 1. How would the range change if the number 3 replaced the number 9 in the set?

Step 1: Find the original range of the given data
GIVEN: 1, 6, 3, 9, 6, 1, 1
Arrange the numbers from least to greatest.
1, 1, 1, 3, 6, 6, 9
The range is the difference between the greatest number and the least number.
Range = 9 - 1 = 8
Step 2: Replace the number and find the range
1, 6, 3, 9, 6, 1, 1
GIVEN: 3 replace the number 9's in the set
1, 6, 3, 3, 6, 1, 1
Arrange the numbers from least to greatest.
1, 1, 1, 3, 3, 6, 6
Range = greatest number - least number.
= 6 - 1 =
Range = 5
Hence, range if decreased