Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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How is the range of a data set calculated?

  1. By adding all values together

  2. By finding the lowest value only

  3. By subtracting the lowest value from the highest value

  4. By averaging all values

The correct answer is: By subtracting the lowest value from the highest value

The range of a data set is determined by subtracting the lowest value from the highest value. This calculation provides a measure of the spread or dispersion of the values within the data set. By identifying both the maximum and minimum values, you can accurately gauge how much variability exists in the data. For example, if you have a set of values like 3, 7, and 10, the highest value is 10 and the lowest is 3. The range would be calculated as 10 - 3, resulting in a range of 7. This process allows you to quickly understand the extent of how data values differ from one another. Adding all values together would yield a sum, not a measure of spread, while only finding the lowest value overlooks the highest value crucial for calculating the range. Averaging all values would give you the mean, providing a different measure of central tendency rather than the dispersion of the data.

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