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Margin of Error Part 1

In this task, we will use preset margins of error or adjust them dynamically to modify the difficulty level of the questions. For this example, I created two margins of error:
  • n (green): Represents a more precise answer, with a tighter tolerance. 
  • m (orange): Represents a less precise answer, allowing a broader range of acceptable responses.
Both margins are dynamic, meaning they can be adjusted at any time using sliders. This flexibility ensures that you can fine-tune the difficulty to suit different questions or scenarios.  Important Consideration  Typically, the second margin of error (m) should be greater than the first (n) to reflect decreasing precision. It’s crucial to ensure that this relationship holds true across all cases.  For this example, I initially set:
  • First margin of error (n) = 5 
Feel free to explore the sliders to see how changing these values affects the acceptable ranges for responses. Make sure that m is always larger than n to maintain logical consistency.

Question

To maintain logical consistency, m (orange) should always be larger than n (green). Considering this rule, what should be the appropriate limits for the slider controlling m?