Assignment instructions attached
GEOG 4/596
Worksheet 1
Name: _______________________________________ [15 possible points]
The table below shows information about the adults age 65 or over who have received a pneumonia vaccination, by state, in 2005.
State Name | State Code | population over 65 | vaccinated | State Rate | Regional Rate | National Rate | National Comparison | Regional Comparison | Direction of Change | Average Annual Change | ||||||||
Alaska | AK | 35699 | 22954 | 64.3 | 67.6442 | 66.044 | Average | Average | Unchanged | -0.30865 | ||||||||
Alabama | AL | 579798 | 359475 | 62 | 63.7845 | 66.044 | Worse than Average | Average | Unchanged | 0.121335 | ||||||||
Arkansas | AR | 374019 | 215061 | 57.5 | 66.0896 | 66.044 | Worse than Average | Worse than Average | Worsened | -1.26341 | ||||||||
Arizona | AZ | 667839 | 437435 | 65.5 | 67.5648 | 66.044 | Average | Average | Unchanged | -0.37808 | ||||||||
California | CA | 3494659 | 2138731 | 61.2 | 67.6442 | 66.044 | Worse than Average | Worse than Average | Unchanged | 0.664488 | ||||||||
Colorado | CO | 417073 | 294036 | 70.5 | 67.5648 | 66.044 | Better than Average | Average | Unchanged | 0.32172 | ||||||||
Connecticut | CT | 470183 | 322546 | 68.6 | 67.3341 | 66.044 | Average | Average | Improved | 1.830027 | ||||||||
District of Columbia | DC | 69898 | 35928 | 51.4 | 64.6221 | 66.044 | Worse than Average | Worse than Average | Improved | 1.202621 | ||||||||
Delaware | DE | 101726 | 67241 | 66.1 | 64.6221 | 66.044 | Average | Average | Worsened | -1.56327 | ||||||||
Florida | FL | 2807597 | 1749133 | 62.3 | 64.6221 | 66.044 | Worse than Average | Average | Improved | 1.629269 | ||||||||
Georgia | GA | 785275 | 493138 | 62.9 | 64.6221 | 66.044 | Average | Average | Improved | 1.144913 | ||||||||
Hawaii | HI | 160601 | 105675 | 65.8 | 67.6442 | 66.044 | Average | Average | Unchanged | 0.735201 | ||||||||
Iowa | IA | 436213 | 297497 | 68.2 | 67.1491 | 66.044 | Average | Average | Unchanged | 0.823115 | ||||||||
Idaho | ID | 145616 | 89554 | 61.5 | 67.5648 | 66.044 | Worse than Average | Worse than Average | Unchanged | 0.245401 | ||||||||
Illinois | IL | 1500025 | 852014 | 56.8 | 64.2654 | 66.044 | Worse than Average | Worse than Average | Unchanged | -0.39225 | ||||||||
Indiana | IN | 752831 | 501385 | 66.6 | 64.2654 | 66.044 | Average | Average | Improved | 2.178202 |
(1.5 points) Which of these columns is nominal? Ordinal? Ratio? Mark the columns in the table with the respective upper-case letters: N (nominal), O (ordinal), and R (ratio).
(1 point) Look at the variable National Rate and describe, in whatever way you wish, the values in that column.
Do the same for
(1 point) State Rate and
(1 point) vaccinated.
(1 point) Examine the State Rate column. How is the State Rate variable likely related to vaccinated and population over 65?
(1 point) If you wanted to compare states to see where elderly people are more likely to be vaccinated, why would using vaccinated alone be troublesome?
In the following exercises you will draw different graphs and calculate various descriptive statistics measures. In order to do so, you will need a regular deck of playing cards (an online simulator would do as well). In the following, consider a J, Q, and K as a 10 and A as a 1.
Please draw your graphs by hand using a pen/pencil, paper, and a ruler. Once you are done, scan your pages and include digital copies of your graphs in this document, as per the instructions below. Trust me, it is much faster and easier to do the graphs by hand than trying to use any kind of software!
(2 points) In the space below, insert a dot plot of the number of times you get a certain card value (e.g., a 6). Randomly draw five cards at-a-time from a deck of playing cards and record all the card values in your dot plot. Replace your cards and draw 9 other five-card sets and add the card values to your dot plot (for a total of 50 cards). Label your dot plot appropriately.
(1.5 points) Find the mean, median, and mode in your dot plot and report it below.
(2 points) Convert the dot plot into a frequency histograms, with appropriate labels on the x-axis, percentages of the total number of observations on the y-axis, and a bin size of 5. Hence, your x-axis should contain two bins (vales 1-5 and 6-10). In addition, your histograms should have the y-axis start at zero, and proceed to 5%, 10%, etc.. If you have 4 observations out of 50 that of card values 1-5, then the bar height for the first bin should be 8% (with 4/50 corresponding to 8%)
(1 point) Examine the histogram and write down a few sentences or words that describe important characteristics of the distribution.
(2 point) Finally, in the space below, create a cumulative frequency diagram, or ogive, out of your dot plot. Feel free to use total counts or percentages on the y-axis.