Show complete and orderly solutions. Enclose final answers. 1. The following data covering 1,000 Engineering were taken from the records of the Registrar at the end of a semester. Each student has taken at least one of the subjects. 631 students passed Math 572 students passed Physics 733 students passed Chemistry 330 students passed Math and Physics 480 students passed Math and Chemistry 416 students passed Physics and Chemistry 272 students passed the three subjects Draw the Venn diagram and answer the following: a. How many passed Chemistry and Physics but not Math? b. How many passed Math and Physics but not Chemistry? c. How many 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.
Show complete and orderly solutions. Enclose final answers.
1. The following data covering 1,000 Engineering were taken from the records of the Registrar
at the end of a semester. Each student has taken at least one of the subjects.
631 students passed Math
572 students passed Physics
733 students passed Chemistry
330 students passed Math and Physics
480 students passed Math and Chemistry
416 students passed Physics and Chemistry
272 students passed the three subjects
Draw the Venn diagram and answer the following:
a. How many passed Chemistry and Physics but not Math?
b. How many passed Math and Physics but not Chemistry?
c. How many passed Math and Chemistry but not Physics?
d. How many passed Math only?
e. How many did not pass any of the subjects?
f. How may passed exactly one subject?
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