9. Bowling Scores The scores from the last 10 years' U.S. Bowling Congress Championships are shown below for men and for women. Find the range, variance, and standard deviation for each data set. Which set of data is more variable? Men Women 823 837 858 791 812 814 832 862 833 826 752 764 754 774 771 745 736 816 792 793 Source: Time Almanac 2012.
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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