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

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Answer:

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

Step-by-step explanation:

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The correct answer is an option (D) There is a probability that the outcome is within 1 standard deviation of the mean.

What is standard deviation?

"It is a measure of the amount of variation of a set of values from is mean."

What is mean?

"It is the average of all the set of values."

What is empirical rule?

  • "It is a statistical rule which states that - For a normal distribution, the observed data will fall within three standard deviations of the mean."
  • "This rule predicts that 68% of observations falls within the first standard deviation."
  • "95% of observations falls  within the first two standard deviations."
  • "99.7% of observations falls  within the first three standard deviations."

For given question,

According to empirical rule,

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

Therefore, the correct answer is an option (D) There is a probability that the outcome is within 1 standard deviation of the mean.

Learn more about the empirical rule here:

https://brainly.com/question/16849830

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