The following table gives the frequency distribution of the number of errors committed by a college baseball team in all of the 47 games that it played during the 2011-12 season. Number of Errors Number of Games 0 11 1 16 2 9 3 7 4 3 5 1 Find the mean, variance, and standard deviation. (Hint: The classes in this example are single valued. These values of classes will be used as values of m in the formulas for the mean, variance, and standard deviation.) Round your answers to two decimal places. Mean = Enter you answer; Mean errors Variance = Enter you answer; Variance Standard deviation = Enter you answer; Standard deviation errors
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.
The following table gives the frequency distribution of the number of errors committed by a college baseball team in all of the 47 games that it played during the 2011-12 season.
|
Number of Errors |
Number of Games |
|---|---|
|
0 |
11 |
|
1 |
16 |
|
2 |
9 |
|
3 |
7 |
|
4 |
3 |
|
5 |
1 |
Find the
Round your answers to two decimal places.
Mean = Enter you answer; Mean errors
Variance = Enter you answer; Variance
Standard deviation = Enter you answer; Standard deviation errors
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