2.1 The range
The range is the difference between the largest and smallest values in a data set.
Here are the scores from the previous section.
Team A: 15, 18, 18, 19, 23
Team B: 7, 11, 18, 24, 33
Team A has a range of 23-15 = 8
Team B has a range of 33-7= 26
Activity 8
Calculate the range for each of these lists of data. As you work, can you spot how some of the questions involve extra challenges?
Set A: 2, 4, 8, 16, 32, 64, 128
Set B: 3, 1, 4, 1, 5, 9
Set C: 0.7, 1.3, 8.6, 12, 13.5
Set D: apple, banana, kiwi, orange, pineapple
Set E: -3, 0, 0, 0, 0, 0, 0, 0, 0, 1
Answer
Set A: 128 – 2 = 126
Set B: 9 – 1 = 8; the data was not presented in order
Set C: 13.5 – 0.7 = 12.8; this question involved decimals
Set D: It is not possible to find the range with this type of data (qualitative data)
Set E: 1 – (-3) = 4; this question involved a negative number