Question

In a normal distribution, the mean corresponds to:
Standard Score: z =
Percentile:

Which of the following statements are TRUE about the normal distribution? Check all that apply.

• A data value with z-score = -1.5 is located 1.5 standard deviations below the mean.
• The mean corresponds to the z-score of 1.
• The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean.
• A z-score is the number of standard deviations a specific data value is from the mean of the distribution.
• The area to the left of a z-score plus the area to the right of that same z-score will always equal 1.

Answer 1

In normal distribution, the mean corresponds to: the standard score : z = 0

Percentile : 50%

The true statements are:

A) A data value with z-score = -1. 5 is located 1.5 standard deviation below the mean.

C) A z-score is the number of standard deviations a specific data value is from the mean of the distribution.

D) The area to the left of a z-score plus the area to the right of the same z-score will always equal 1.