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Sample Standard Deviations

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Ashton Vincent’s roll total was 1132. The average 11.32. The sample variance and sample standard deviation were 93.05% and 96.46% respectively. The sample z-score was 314.85%. My results from the experiment were roll totals of 1124, roll average of 11.24, sample variance of 94.21%, sample standard deviation of 97.06%, and sample z-score of 282.38%. Although Vincent’s roll total, average and sample z-score are higher than my results. Vincent’s sample variance and sample standard deviation are slightly lower than the results I received. The average from both experiments are higher than the theoretical average of 3.5 when rolling 1 die instead of 3 dice a hundred times. Vincent’s experiment had less variance or distance when compared to my results.

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