Listed below are the weights in pounds of 11 players randomly selected from the roster of a championship sports team. Are the results likely to be represent players in that sport's league? 211 266 203 252 201 249 207 198 266 204 204 o a. Find the mean. The mean is 223.7 pound(s). (Type an integer or a decimal rounded to one decimal place as needed.) b. Find the median. The median is 207 pound(s). (Type an integer or a decimal rounded to one decimal place as needed.) c. Find the mode. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mode(s) is(are) 204,266 pound(s). (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) O B. There is no mode. se (STA2 d. Find the midrange. The midrange is pound(s). (Type an integer or a decimal rounded to one decimal place as needed.) e. Are the results likely to be representative of all players in that sport's league? O A. The results are not likely to be representative because the champlonship team may not be representative of the entire league. B. The results are not likely to be representative because the median is not equal to the mean. C. The results are likely to be representative because a championship team is most likely representative of the entire league. D. The results are not likely to be representative because the median is not equal to the mode.
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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