We will rank the y-values of the following data set:
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.
We will rank the y-values of the following data set:
x | y |
---|---|
-2 | -11 |
-0.8 | -11.9 |
0.7 | 11.7 |
1.7 | 12.2 |
2.4 | 1.8 |
4.6 | 9.4 |
6 | 11.9 |
7.8 | 33.4 |
8.4 | 27 |
9.7 | 21.5 |
The
123456789101112-1-2-3-4-5123456789101112131415161718192021222324252627282930313233343536-1-2-3-4-5-6-7-8-9-10-11-12-13-14
Fill in the following table:
x | y | x-rank | y-rank |
---|---|---|---|
-2 | -11 | 1 | |
-0.8 | -11.9 | 2 | |
0.7 | 11.7 | 3 | |
1.7 | 12.2 | 4 | |
2.4 | 1.8 | 5 | |
4.6 | 9.4 | 6 | |
6 | 11.9 | 7 | |
7.8 | 33.4 | 8 | |
8.4 | 27 | 9 | |
9.7 | 21.5 | 10 |
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