How Democratic is Georgia? Percentage of Democratic vote by counties in Georgia is shown for a recent election. For your convenience the data have been sorted in increasing order (Source: County and City Data Book, 12th Edition, U.S. Census Bureau). Make a frequency table with class limits, midpoints and frequency using five classes. Estimate the mean using the frequency table (i.e. using the grouped data, not the original data). Show your work using a table. Estimate the variance and standard deviation (definitional formula) using the frequency table (i.e. using grouped data, not the original data). Show your work using a table.
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.
How Democratic is Georgia? Percentage of Democratic vote by counties in Georgia is shown for a recent election. For your convenience the data have been sorted in increasing order (Source: County and City Data Book, 12th Edition, U.S. Census Bureau).
Make a frequency table with class limits, midpoints and frequency using five classes. Estimate the
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- First Row: 31, 33, 34, 34, 35, 35, 36, 38, 38, 39, 40
- Second Row: 40, 40, 41, 41, 41, 41, 41, 42, 42, 43
- Third Row: 44, 44, 44, 45, 45, 46, 46, 46, 47, 48, 49
- Fourth Row: 49, 49, 50, 51, 52, 52, 53, 53, 53, 53, 55, 56
- Fifth Row: 56, 57, 57, 59, 62, 66, 66, 68
This numerical series can be used for educational purposes, such as understanding patterns, frequency of numbers, or statistical analysis. There are no graphs or diagrams present in the image."
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