Interpolate all the aforementioned data values by using Lagrange’s Interpolation method in order to approximate the population of United States of America in 1987.
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 first census of United States took place in 1790 under Secretary of State Thomas Jefferson; including that there have been total 23 federal censuses till date and the 24th United States Census is currently in progress with its reference date as April 1, 2020. The following table represents the total population count of last 6 completed censuses of USA;
|
Year |
1960 |
1970 |
1980 |
1990 |
2000 |
2010 |
|
Population |
179,323,175 |
203,302,031 |
226,545,805 |
248,709,873 |
281,421,906 |
308,745,538 |
Table 1
Interpolate all the aforementioned data values by using Lagrange’s Interpolation method in order to approximate the population of United States of America in 1987.
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