Question

The probability of an outcome that lies within 68% of the mean is a good indicator that it lies in which standard deviation?

A) There is a probability that the outcome is within 3 standard deviations of the mean.
B) There is a probability that the outcome is within 2 standard deviations of the mean.
C) There is a probability that the outcome is within 1 standard deviation of the mean.
D) Standard deviations are not reliable, so the probability cannot be determined.

Answer 1

Answer: C) There is a probability that the outcome is within 1 standard deviation of the mean.

Explanation:

The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. According to the rule,

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations

Therefore, the correct answer is

C) There is a probability that the outcome is within 1 standard deviation of the mean.