Which experiment gave more consistent favorable percentages, 10-spins-per-trial or100-spins-per-trial
Question
Which experiment gave more consistent favorable percentages, 10-spins-per-trial or 100-spins-per-trial?
Solution
To determine which experiment—10-spins-per-trial or 100-spins-per-trial—yielded more consistent favorable percentages, we need to analyze the data obtained from both experiments.
Here’s how we can break it down:
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Collect the Data:
- Gather the favorable percentages from each trial for both 10-spin and 100-spin experiments.
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Calculate the Mean:
- For each experiment, calculate the average (mean) of the favorable percentages.
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Calculate the Standard Deviation:
- Determine the standard deviation of the percentages for both experiments to measure variability. A lower standard deviation indicates more consistency.
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Compare Results:
- Compare the standard deviations of the two experiments. The one with the smaller standard deviation will be the more consistent experiment.
Final Answer
The experiment with the smaller standard deviation among the favorable percentages indicates which set of trials was more consistent.
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