Mr. Karly's math test scores are normally distributed with a mean score of 87 (?) and a standard deviation of 4 (?). Using the Empirical Rule, about 99.7% of the data values lie between which two values?

Question

Mathematics

Macey Preston

9 March, 14:22

Mr. Karly's math test scores are normally distributed with a mean score of 87 (?) and a standard deviation of 4 (?). Using the Empirical Rule, about 99.7% of the data values lie between which two values?

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Stokes · Answer 1

The rule says about 99.7% of a normal distribution lies within 3 standard deviations of the mean. Here the mean is 87. 3 standard deviations above the mean represents a score of 87 + 3*4 = 99, while 3 standard deviations below the mean represents a score of 87 - 3*4 = 75.