Of the 15 states in the Union when the issue of apportionment for the House of Representatives was first taken up in 1794, let's consider Kentucky, which had a population of 72677, and New Jersey, which had a population of 184139. The total population as of the 1790 census was 3893874 individuals, and the size of the House of Representatives was 105. (a) What was the standard quota for Kentucky? Include at least three decimal places of accuracy. Standard quota: (b) What was the standard quota for New Jersey? Include at least three decimal places of accuracy. Standard quota: (c) What is the standard divisor for this apportionment exercise? Include at least one decimal place. Standard divisor:
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.
Of the 15 states in the Union when the issue of apportionment for the House of Representatives was first taken up in 1794, let's consider Kentucky, which had a population of 72677, and New Jersey, which had a population of 184139. The total population as of the 1790 census was 3893874 individuals, and the size of the House of Representatives was 105.
(a) What was the standard quota for Kentucky? Include at least three decimal places of accuracy.
Standard quota:
(b) What was the standard quota for New Jersey? Include at least three decimal places of accuracy.
Standard quota:
(c) What is the standard divisor for this apportionment exercise? Include at least one decimal place.
Standard divisor:
Step by step
Solved in 4 steps