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

Liam Walls

Mathematics

27 March, 04:43

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?

+3

Answers (1)

Know the Answer?

Moises Riggs · 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.