First we form the table from the data given as shown below:
Town A B C D
Taller than 5'3" but shorter than 5'6" 21 13 25 33
Taller than 5'6" but shorter than 5'9" 39 56 33 32
Taller than 5'9" but shorter than 6'0" 45 78 39 54
Taller than 6'0" but shorter than 6'3" 32 49 48 46
Taller than 6'3" but shorter than 6'6" 16 19 60 31
Next, we identify the minimum and the maximum to calculate the range as shown in the table below:
The range is defined as the maximum - minimum
Town A B C D
Taller than 5'3" but shorter than 5'6" 21 13 25 33
Taller than 5'6" but shorter than 5'9" 39 56 33 32
Taller than 5'9" but shorter than 6'0" 45 78 39 54
Taller than 6'0" but shorter than 6'3" 32 49 48 46
Taller than 6'3" but shorter than 6'6" 16 19 60 31
Minimum Value 16 13 25 31
Maximum Value 45 78 69 54
Range 29 65 44 23
As we can see the range is highest for town B (which is 65)
Hence Town B represents an extreme distribution
