Question

A value one standard deviation from the mean is less likely to occur than a value three standard deviations from the mean.TrueFalse

Answer 1

Answer:

False.

Step-by-step explanation:

We have been given a statement. We are asked to determine whether the given statement is true or false.

Statement: A value one standard deviation from the mean is less likely to occur than a value three standard deviations from the mean.

We know that z-score represents a data point is how many standard deviation away from mean.

A data point with one standard deviation away from mean is closer to mean than a data point that is 3 standard deviation away from mean.

By the definition of standard deviation values that are more standard deviations away from the mean are less likely to occur than values that are close to the mean.

Closer a data point to the mean will more occurrence than a data point far away from mean. Therefore, the given statement is false.