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What position in the distribution corresponds to a z-score of z = –1.00?

-Below the mean by 1 point
-Below the mean by a distance equal to 1 standard deviation
-Above the mean by 1 point
-Above the mean by a distance equal to 1 standard deviation

User Mroman
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1 Answer

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Final answer:

A z-score of -1.00 corresponds to a position below the mean by a distance equal to 1 standard deviation in the standard normal distribution.

Step-by-step explanation:

A z-score represents the number of standard deviations a value lies from the mean in a distribution. In the case of a z-score of -1.00, this corresponds to a position below the mean by a distance equal to 1 standard deviation. This metric is a central concept within the standard normal distribution, which is characterized by a mean of 0 and a standard deviation of 1 (notated as Z ~ N(0, 1)). A z-score of -1 indicates that the value falls below the mean, demonstrating it is less common than the average occurrence in a data set that follows a normal distribution.

User Negash
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