a. z=+2.00 z=+0.50 z = −1.00 z = −0.25
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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For a distribution with a standard deviation of
σ = 20, describe the location of each of the followingz-scores in terms of its position relative to themean . For example, z = +1.00 is a location that is 20 points above the mean.
a. z=+2.00-
z=+0.50
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z = −1.00
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z = −0.25
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a.
The location of z-score equal to +2.00 is,
Thus, is a location that is 40 points above the mean.
1.
The location of z-score equal to +0.50 is,
Thus, is a location that is 10 points above the mean.
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