Comparing z-Scores from Different Data Sets The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at the Academy Awards from 1929 to 2016. The distributions of the ages are approximately bell-shaped. In Exercise 51, compare the z-scores for the actors. 51. Best Actor 1984: Robert Duvall, Age: 53 Best Supporting Actor 1984: Jack Nicholson, Age: 46
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.
Comparing z-Scores from Different Data Sets The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at the Academy Awards from 1929 to 2016. The distributions of the ages are approximately bell-shaped. In Exercise 51, compare the z-scores for the actors.
51. Best Actor 1984: Robert Duvall, Age: 53
Best Supporting Actor 1984: Jack Nicholson, Age: 46
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