For each of the following parts, use a complete sentence to comment on how the value obtained from the data compares to the theoretical value you expected from the distribution in the section titled Theoretical Distribution.
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.
For each of the following parts, use a complete sentence to comment on how the value obtained from
the data compares to the theoretical value you expected from the distribution in the section
titled Theoretical Distribution.
d. third quartile: _______
e. maximum value: _______
f. width of IQR: _______
g. overall shape: _______
2. Based on your comments in the section titled Collect the Data, how does the box plot fit or not fit what
you would expect of the distribution in the section titled Theoretical Distribution?
Discussion Question
1. Suppose that the number of values generated was 500, not 50. How would that affect what you would
expect the empirical data to be and the shape of its graph to look like?
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