During the 2016-2017 season, the University of South Carolina Men's Basketball team made it to the final 4. The Lady Gamecocks made it to the final four and won the National Championship. Below are the number of points each team scored during each of the games they played during the 2016-2017 season. Use the back- to-back stem and leaf plot to answer the questions. Men's Team Women's Team 7 43 5 5 9 9 8776 4 4 3 3 2 10 6 0 0 22 3 4 5 6 6 7 97777630 0 0 0 0 0 11 23 4 5 6 99 8 8 6 5 2 1 8 0 1 2 3 3 4 9 8 3 20 9 0 2 2 3 3 5 8 10 0 Key: 3 | 5 = 53 points Key: 5 | 9 = 59 Points 4. What is the population standard deviation for each team? The men had a standard deviation of points (round to nearest points and the women had a standard deviation of hundredth). 5. Based on the standard deviation, which team's points varied more? The varied more based on the standard deviation. + team's points
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.
- What is the population standard deviation for each team? The men had a standard deviation of _____ points and the women had a standard deviation of ______ points (round to nearest hundredth).
- Based on the standard deviation, which team's points varied more? The : men's or women's? team's points varied more based on the standard deviation.
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