w many students passed Chemistry and Physics but not Math? How many students passed Math and Physics but not Chemistry? How many students passed Math and Chemistry but not Physics?
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 covering 1000 students (eng’g) were taken from the records of the registrar at the end of the semester. Each student has taken at least one of the subjects
631 students passed Mathematics
572 students passed Physics
733 students passed Math and Physics
330 students passed Math and Chemistry
480 students passed Math and Chemistry
416 students passed Physics and Chemistry
272 students passed all 3 subjects
- How many students passed Chemistry and Physics but not Math?
- How many students passed Math and Physics but not Chemistry?
- How many students passed Math and Chemistry but not Physics?
- How many students did not pass any of the subjects?
- How many students passed Math only?
- How many students passed exactly one subject?
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