The following data represents the GPA of a sample of 15 students enrolled in a math class. Use technology and round to 4 decimal places. GPA 3.01 3.96 3.46 1.52 1.75 2.89 2.77 1.66 2.27 3.2 2.28 2.29 1.96 1.71 2.07
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 data represents the GPA of a sample of 15 students enrolled in a math class. Use technology and round to 4 decimal places.
GPA |
---|
3.01 |
3.96 |
3.46 |
1.52 |
1.75 |
2.89 |
2.77 |
1.66 |
2.27 |
3.2 |
2.28 |
2.29 |
1.96 |
1.71 |
2.07 |
(g) Find the
(h) What are the lower and upper limits to find outliers?
LL: UL:
(i) Find s2.
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