Empirical rule between two scores

MediumStatistics~3m

Test scores are Normal with mean 100100 and standard deviation 1515. Using the 68–95–99.7 rule, approximately what percent of scores fall between 8585 and 130130? Give a number of percent to one decimal.

Show hints (2)+
  1. Convert both bounds to zz-scores first.
  2. Split the bell at the mean and use the 68/95 bands.

Answer

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81.5 (± 0.5)

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