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A set of data has a normal distribution with a mean of 50 and a standard deviation of 8. What percen...
4 months ago
Q:
A set of data has a normal distribution with a mean of 50 and a standard deviation of 8. What percent of the data should fall between 42 and 58?
Accepted Solution
A:
Let's calculate the z scores for 42 and 58:
42 - 50
z = ------------- = -1
8
58-50
z = --------------- = 1
8
so the question becomes: what percent of the data should fall within 1 std. dev. of the mean? Referring to the empirical formula: 68% (answer)