Two players, Fredo and Karl, on different teams wanted to find out who scored the higher number of points when compared to the other players on his team. Table 2.57 Player His Average Points Other's Average Points Other's Standard Deviation Fredo 161 186 20 Karl 159 179 35 Which player had the higher average points when compared to the other players on his team? (a) Fredo (b) Karl Use Table 2.57 to find the value that is three standard deviations above the mean for each team. Enter the exact answers. Fredo's team: ____________ Karl's team: ____________ Use Table 2.57 to find the value that is three standard deviations below the mean for each team. Enter the exact answers. Fredo's team: ____________ Karl's team: ____________
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.
Two players, Fredo and Karl, on different teams wanted to find out who scored the higher number of points when compared to the other players on his team.
Table 2.57
| Player | His Average Points | Other's Average Points | Other's Standard Deviation |
|---|---|---|---|
| Fredo | 161 | 186 | 20 |
| Karl | 159 | 179 | 35 |
- Which player had the higher average points when compared to the other players on his team?
(a) Fredo
(b) Karl
- Use Table 2.57 to find the value that is three standard deviations above the mean for each team.
Enter the exact answers.
Fredo's team:
____________
Karl's team:
____________
- Use Table 2.57 to find the value that is three standard deviations below the mean for each team.
Enter the exact answers.
Fredo's team:
____________
Karl's team:
____________
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