A group of people was surveyed about the kind of food they like. Fifty-four people like Mexican food. Forty-five people like Italian food. Forty-seven people like Chinese food. There are 29 people that like Mexican food and Italian food. There are 26 people that like Mexican food and Chinese food. There are 20 people that like Italian food and Chinese food. There are 11 people that like Mexican food, Italian food, and Chinese food. And there are 5 people that don't like Mexican food, Italian food, or Chinese food.
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.
Given data:
The numbers of people who like Mexican food are M=54.
The numbers of people who like Italian food are I=45.
The numbers of people who like Chinese food are C=47.
The numbers of people who like Mexican food and Italian are d+g=29.
The numbers of people who like Mexican food and Chinese are f+g=26.
The numbers of people who like Italian food and Chinese are e+g=20.
The numbers of people who like all food are g=11.
The numbers of people who don't like any of this food are h=5.
Substitute 11 for g in the expression d+g=29.
Substitute 11 for g in the expression f+g=26.
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