Statistics – Arithmetic Range

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:



Where −

·        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


Problem Statement:

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.

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