11. In a normally distributed set of data, if the z score is -2, how is that interpreted?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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## Question 11
In a normally distributed set of data, if the z-score is -2, how is that interpreted?

### Explanation:
In a normal distribution:
- The mean (average) is the center of the distribution, with a z-score of 0.
- A z-score indicates how many standard deviations an element is from the mean.

A z-score of -2 means the value is 2 standard deviations below the mean. This signifies that the value is on the lower end of the distribution, suggesting it is less common or more extreme in the lower end of the data set.
Transcribed Image Text:## Question 11 In a normally distributed set of data, if the z-score is -2, how is that interpreted? ### Explanation: In a normal distribution: - The mean (average) is the center of the distribution, with a z-score of 0. - A z-score indicates how many standard deviations an element is from the mean. A z-score of -2 means the value is 2 standard deviations below the mean. This signifies that the value is on the lower end of the distribution, suggesting it is less common or more extreme in the lower end of the data set.
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