The Arithmetic Range of a set of data is the difference between the highest and lowest values in the set.
Arithmetic Range is defined and given by the following function:
· LL = Largest item
· SS = Smallest item
This is an absolute measure. The relative measure called as coefficient of range is given by
Coefficient of Range=L−SL+SCoefficient of Range=L−SL+S
Cheryl took 7 math tests in one marking period. What is the range of her test scores and coeff.of range?
Ordering the test scores from least to greatest, we get:
Range = Largest − Smallest =94−73=21Range = Largest − Smallest =94−73=21
Largest + Smallest =94+73=167Coefficient of Range=L−SL+S=21167=0.1257Largest + Smallest =94+73=167Coefficient of Range=L−SL+S=21167=0.1257
The Range of these test scores is 21 points and coeff. of range is 0.1257 points.