Question 565098: Use the Empirical Rule to find what two values 95% of the data will fall between for a data set with a mean of 216 and standard deviation of 15
Answer by kingme18(98)   (Show Source):
You can put this solution on YOUR website! The Empirical Rule states that, for a normal distribution, 68% of the data will fall within one standard deviation of the mean, 95% will fall within 2 standard deviations, and 99.7% will fall within 3 standard deviations. Since we want 95%, we need to talk about 2 standard deviations in either direction from the mean.
Since we want 2 standard deviations (so 30, since 2*15=30) in either direction from the mean, we'll subtract and add 30 to the mean. 216 - 30 = 186 and 216 + 30 = 246. Therefore, 95% of the data will fall between 186 and 246.
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