This question has four parts. Be sure to label each part of your response. 17 A coach recorded the number of goals scored by a soccer team in each of its last ten games. The data are shown. 3, 2, 10, 2, 1, 5, 3, 2, 1, 5 A. What are the first quartile, the median, and the third quartile of the data? Be sure to label each one. B. What is the interquartile range of the data? Show or explain how you got your answer. C. The value 10 in the data is an outlier. Explain how this outlier affects the distribution of the data. D. If the value 10 in the data is replaced by the mode, by how much will the mean change? Show or explain how you got your answer.
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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