Which of the following scenarios would result in a larger range?

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Multiple Choice

Which of the following scenarios would result in a larger range?

The range is calculated by subtracting the smallest value in a data set from the largest value. In the scenario described, the set of scores that spans from 0 to 100 has the largest difference between its minimum (0) and maximum (100) scores, resulting in a range of 100. In contrast, the other scenarios have smaller ranges: the scores from 10 to 50 yield a range of 40, from 30 to 40 a range of 10, and from 70 to 85 a range of 15. The other choices demonstrate limited spreads between their maximum and minimum values, making them less than the range of 100 seen in the choice with scores from 0 to 100. Thus, this choice represents the greatest possible variability in the data set, resulting in the largest range.

The range is calculated by subtracting the smallest value in a data set from the largest value. In the scenario described, the set of scores that spans from 0 to 100 has the largest difference between its minimum (0) and maximum (100) scores, resulting in a range of 100.

In contrast, the other scenarios have smaller ranges: the scores from 10 to 50 yield a range of 40, from 30 to 40 a range of 10, and from 70 to 85 a range of 15. The other choices demonstrate limited spreads between their maximum and minimum values, making them less than the range of 100 seen in the choice with scores from 0 to 100. Thus, this choice represents the greatest possible variability in the data set, resulting in the largest range.

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