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assume that a set of test scores is normally distributed with the mean of 110 and...

assume that a set of test scores is normally distributed with the mean of 110 and a standard deviation of 15. use the 86-95-99.7 rule

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Answer #1

According to the empirical rule of normal distribution.

  • 68% of the observations lies within one standard deviations from the mean that is 68% of the observations for this given normal distribution would lie in the range ( 95, 125 )
  • 95% of the observations lies within two standard deviations from the mean that is 95% of the observations for this given normal distribution would lie in the range ( 80, 140 )
  • 99.7% of the observations lies within three standard deviations from the mean that is 99.7% of the observations for this given normal distribution would lie in the range ( 65, 155 )
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