statistics - 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?

Krishna (last edited 4 years ago) (Expert, Educator @Qalaxia)

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