For Numerical Simulation and Symbolic Math only.
When defining response outcomes for Numerical Simulation and Symbolic Math question types in Inspera Assessment, you can specify tolerance levels for numerical answers. This feature allows authors to create comprehensive questions while ensuring candidates are not penalized for small deviations that still demonstrate their understanding.
This article explains Absolute tolerance and Relative tolerance, including their definitions and practical examples.
Understanding tolerance levels
Tolerance levels allow you to set an acceptable range around a correct numerical answer, rather than requiring an exact match. This is particularly useful in subjects like mathematics or science where slight variations in calculation results might occur but should not lead to an incorrect mark.
To maintain compatibility with the QTI (Question and Test Interoperability) standard for storing content and enabling the use of these questions in other systems, Inspera Assessment utilizes the formulas defined by that standard for evaluating tolerance levels.
Absolute tolerance
Absolute tolerance is used when you want to define a response outcome that falls within a fixed numerical lower and upper bound of a variable. For a candidate response to meet the response outcome, it should be within the range of variable minus lower bound, variable plus upper bound, where lower and upper bounds are numbers.
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Question:
How high is Mount Everest?
Instructions:
The correct answer to be 8848 (meters) and want to allow +/- 10 meters to allow for fluctuations in snow levels.
Setup:
By adding 10 as both the lower and upper bounds, and setting the response outcome as CORRECT, any answer within the range of 8838 - 8858 will be CORRECT.
Relative tolerance
Relative tolerance allows you to define a response outcome that falls within a specified percentage range of a variable, rather than requiring an exact match. The acceptable range is determined by variable minus (lower bound % * variable) and variable plus (upper bound% * variable), with both the lower and upper bound as numbers.
When using negative values for the variable and calculating relative tolerance, it is important to manually verify the desired outcome by plugging the numbers into the formula to ensure accuracy.
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Question:
What is the population of Switzerland?
Instructions:
The right answer is around 8.7 million. Due to fluctuations, we want to allow for a lower bound of 1% deviation and upper bound of 5% deviation.
Setup:
By adding 1% as the lower bound and 5% as the upper bound, and setting the response outcome as CORRECT, any answer within the range 8.613 million - 9.135 million will as CORRECT.