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What proportion of a normal distribution is located above the mean?

What proportion of a normal distribution is located above the mean?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Question:** What proportion of a normal distribution is located above the mean? **Options:** - \( \bigcirc \) 0.50 - \( \bigcirc \) 0.3453 - \( \bigcirc \) 0.05 - \( \bigcirc \) 0.9999 **Explanation:** In a normal distribution, the mean divides the data into two equal halves. Therefore, the proportion of a normal distribution located above the mean is always 0.50, or 50%.
Transcribed Image Text:**Question:** What proportion of a normal distribution is located above the mean? **Options:** - \( \bigcirc \) 0.50 - \( \bigcirc \) 0.3453 - \( \bigcirc \) 0.05 - \( \bigcirc \) 0.9999 **Explanation:** In a normal distribution, the mean divides the data into two equal halves. Therefore, the proportion of a normal distribution located above the mean is always 0.50, or 50%.
**Question:** Which of the following z-score values represents the location furthest from the mean? - ○ z = 0.50 - ○ z = 1.50 - ○ z = -2.00 - ○ z = 0.00 **Explanation:** A z-score represents the number of standard deviations a data point is from the mean. The value of z indicates how far and in what direction, from the mean, the data point lies. A higher absolute value of the z-score corresponds to a location further from the mean. In this example, the z-score of -2.00 is the furthest from the mean, as it represents a distance of 2 standard deviations from the mean.
Transcribed Image Text:**Question:** Which of the following z-score values represents the location furthest from the mean? - ○ z = 0.50 - ○ z = 1.50 - ○ z = -2.00 - ○ z = 0.00 **Explanation:** A z-score represents the number of standard deviations a data point is from the mean. The value of z indicates how far and in what direction, from the mean, the data point lies. A higher absolute value of the z-score corresponds to a location further from the mean. In this example, the z-score of -2.00 is the furthest from the mean, as it represents a distance of 2 standard deviations from the mean.
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