Giving a test to a group of students, the grades and gender are summarized below
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.
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The given data set is:
|
|
A |
B |
C |
Total |
|
Male (m) |
20 |
8 |
12 |
40 |
|
Female (f) |
14 |
7 |
3 |
24 |
|
Total |
34 |
15 |
15 |
64 |
Thus, the total number of students (n) is 64.
a).
If one student is chosen at random, the probability (p) that the student got an A, can be calculated as:
b).
If one student is chosen at random, the probability (p) that the student was male and got a “C”, can be calculated as:
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