Player payroll, x Mean (in $1,000,000 attendance, y (in thousands) ху s) Arizona 87.0 34.81 3028.47 Atlanta 94.5 39.88 3768.66 45+ Chicago Cubs 65.3 34.44 2248.932 40+ Cincinnati 52.6 31.85 1675.31 35+ Colorado 64.8 40.74 2639.952 30+ Florida 30.9 15.06 465.354 Houston 58.3 37.78 2202.574 25+ Los Angeles Milwaukee 105.0 37.16 3901.8 20+ 41.5 19.38 804.27 15+ Montreal New York Mets 39.5 11.48 453.46 10+ 99.8 34.81 3474.038 54 Philadelphia 53.9 19.88 1071.532 Pittsburgh San Diego 36.3 21.60 784.08 20 40 60 80 so 100 120 140 64.1 29.88 1915.308 Figure 1 San Francisco St Louis 59.6 40.99 2443.004 80.7 41.23 3327.261
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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