10
QuizMultiple Choice

Normal Distributions

Question 10 • EAP-Algebra Functions and Data Analysis B

A set of data is normally distributed with a mean of 28 and a standard deviation of 2. What is the probability that a value from the data is less than 22 or greater than 34?

Answer
A
9%
B
0.6%
C
4.5%
D
0.3%

Explanation

Both 22 and 34 are 6 units from the mean of 28. Since the standard deviation is 2, each value is 6 ÷ 2 = 3 standard deviations from the mean. The probability of being more than 3 standard deviations below or above the mean is about 0.3% altogether, so the correct choice is 0.3%.

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