Suppose that the mean GRE score for the USA is 500 and the standard deviation is 75. Use the Empirical Rule (also called the 68- 95-99.7 Rule) to determine the percentage of students likely to get a score between 350 and 650? What percentage of students will get a score above 500?
1 answer:
The Empirical Rule is saying that 68% of students are only 1 std deviation from the mean, 95% are 2 std deviations from the mean. Find how many std deviations 350 and 650 are from the mean of 500. 350 - 500 = -150 ----> -150/75 = -2 650 - 500 = 150 ----> 150/75 = 2 Each are 2 std deviations from the mean. This means that about 95% of students are between 350 and 650. By definition, 50% will be above the mean and below the mean. Therefore 50% of the students will get a score above 500.
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