June 17, 2020 to answer the questions below. County Total Cases New London 1,217 Fairfield 16,475 Windham 579 Hartford 11,405 Litchfield 1,467 Middlesex 1,259 New Haven 12,185 Tolland 895 A. Based on the data from 6/17/20, which county has the total number of cases closest to the mean of these 8 data
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.
4. Use the following information from June 17, 2020 to answer the questions below.
|
County |
Total Cases |
|
New London |
1,217 |
|
Fairfield |
16,475 |
|
Windham |
579 |
|
Hartford |
11,405 |
|
Litchfield |
1,467 |
|
Middlesex |
1,259 |
|
New Haven |
12,185 |
|
Tolland |
895 |
A. Based on the data from 6/17/20, which county has the total number of cases closest to the mean of these 8 data values?
B. Based on the data from 6/17/20, what is the median for these 8 data values?
C. Which measure from the 6/17/20 data - mean or median - would be the most appropriate number to describe the total number of cases by county. Explain why using what you know about the properties of the mean or median.
D. Suppose you decide to draw a pie chart to represent the data from 6/17/20. [Note: you do not actually have to draw a pie chart for this exam]There will be 8 segments - each one representing a county. Each segment of your pie chart will represent the percentage of total cases on 6/17/20 accounted for by that county (i.e., County X represents X% of the total cases for all 8 counties combined). Name the percentage for each of the 8 counties.
E. Based on the data from 6/17/20, which county is at the 75th percentile for total number of cases by county.
F. Based on the data from 6/17/20, what is the percentile rank for New London?
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