Suppose you are given the following information on incomes for the countries X, Y and Z. Country X Country Y Country Z Population Size (N) 34,000,000 30,000,000 45,000,000 Per Capita Income ($) 5000 6000 4500 Standard deviation ($) 800 480 500 Source: Hypothetical data Which country is more stable in terms of income? Justify your answer.
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.
Suppose you are given the following information on incomes for the countries X, Y and Z.
| Country X | Country Y | Country Z | |
| Population Size (N) | 34,000,000 | 30,000,000 | 45,000,000 |
| Per Capita Income ($) | 5000 | 6000 | 4500 |
| Standard deviation ($) | 800 | 480 | 500 |
Source: Hypothetical data
Which country is more stable in terms of income? Justify your answer.
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