Question detail
If a set of measurements has a mean of 10 g and a range of 4 g, what are the highest and lowest possible values in this set?
Try the question, check the answer, then read the explanation to understand the curriculum point.
At a glance
Question
Type
exam_style
Style
Topic
Chemical measurements, conservation of mass and the quantitative interpretation of chemical equations
Question
If a set of measurements has a mean of 10 g and a range of 4 g, what are the highest and lowest possible values in this set?
Answer
The highest possible value is 12 g and the lowest possible value is 8 g, as the range of 4 g indicates that the difference between the highest and lowest values is 4 g.
Explanation
This answer is strong because it demonstrates the ability to apply the concept of range to calculate specific values based on the mean. The question tests the application of mathematical reasoning in the context of measurement uncertainty.
Common mistake
Misunderstanding Range Calculation
Students often calculate the range by subtracting the smallest measurement from the largest without considering the mean.
To correctly use the range as a measure of uncertainty, calculate the mean of the measurements first, then determine the range by finding the difference between the highest and lowest values. Keep the correction anchored to Chemical measurements; check formula, substitution, calculation, final answer, and unit where relevant.
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