Question

A z-score of z = −2.00 indicates a position in a distribution __________.

A- above the mean by a distance equal to 2 standard deviations
B- below the mean by 2 points
C- below the mean by a distance equal to 2 standard deviations
D- above the mean by 2 points

Answer 1

C- below the mean by a distance equal to 2 standard deviations

Explanation:

• The Z-score, or standard score, is the number of standard deviations a given data point lies above or below the mean.
• The z-score is positive if the value lies above the mean, and negative if it lies below the mean.
• So, a z-score of z = −2.00 indicates a position in a distribution below the mean by a distance equal to 2 standard deviations.