Credit Hours xi, Grade Values 12 4 20 3 26 2 2 1 0 0
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 weight is the number of credit hours taken and the grade value is each observation. This student earned 12 credit hours of A, 20 credit hours of B, 26 credit hours of C, and 2 credit hours of D. A grade of A is worth 4 points, B is worth 3 points, C is worth 2 points, D is worth 1 point, and F receives no points. A table is a helpful way to organize the weights and observations.
wi,
Credit Hours
xi,
Grade Values
12 4
20 3
26 2
2 1
0 0
Recall the formula for calculating a weighted mean.
x =
wixi
wi
The numerator is the sum of each weight multiplied by its corresponding observation. Calculate the value of the numerator.
wixi = 12
+ 20(3) + 26
+ 2(1)
=
The denominator is the sum of the number of credit hours taken.
wi = 12 + 20 +
+ 2
=
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