The frequency distribution for the population density( persons per square mile) for the U.S. states is as follows: POPULATION DENSITY NUMBER OF YEARS 0- under 100 27 100- under 200 11 200- under 300 4 300- under 400 1 400- under 500 2 500- under 600 1 600- under 700 4 a. You are required to calculate: I. Standard deviation ii. Variance iii. Median iv. Mean v. Mode vi. Coefficient of variation b. Is the data symetric? Comment on your answer. 2. Using the midpoint of the population density, you are required to calculate; a. The slope of the regression line. b. The constant term c. Write the regression line d. Calculate the stand error of the standard deviation of the error term. 3. You are required to calculate; a. Pearson correlation Coefficient and comment on your answer. b. Spearsman Correlation Co-efficient and comment on yyour 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.
1. The frequency distribution for the population density( persons per square mile) for the U.S. states is as follows:
|
POPULATION DENSITY |
NUMBER OF YEARS |
|
0- under 100 |
27 |
|
100- under 200 |
11 |
|
200- under 300 |
4 |
|
300- under 400 |
1 |
|
400- under 500 |
2 |
|
500- under 600 |
1 |
|
600- under 700 |
4 |
a. You are required to calculate: I. Standard deviation ii. Variance iii.
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