Joe went bowling in two leagues. In the first league, the mean bowling score is 167 with a standard deviation of 44. In the second league the mean bowling score is 180 with a standard deviation of 36. If he bowls a game of 201 in both leagues, in which league is this score the best in comparison to other bowlers? Explain.
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.
Joe went bowling in two leagues. In the first league, the mean bowling score is 167 with a standard deviation of 44. In the second league the mean bowling score is 180 with a standard deviation of 36. If he bowls a game of 201 in both leagues, in which league is this score the best in comparison to other bowlers? Explain.
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