For Wendy Lewis (Research Stats)

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researchstatisticsessayquestion-03.29.18.docx

1. Mean, Median and Mode -- Which is Best?

Should you always report the mean, median and mode? You should already know which is appropriate for which level of measurement, and if you had to choose one, which would it be? You should also know when is the median better than the mean.

Give a good example of the use of mean/median/mode (and maybe even s.d.) using the data set you used in Assignment 1 [Dataset below] , or a recent research article. How do these stats paint a good picture of the data, that will help you make decisions? (You could also cite a particularly bad example, or post a gripping graphic....)

2. Graphing Critiques

Critique at least one of the "Example" graphs on the National Center for Education Statistics (NCES) "Create a Graph" tool website. Examples include:

• U.S. Public School Student Membership

• International Per Capita Consumption of Turkey

• U.S. Average Price of Gasoline

• Percentage of Students Who Report Being Bullied at School

• Airline On-Time Statistics and Delay Causes

• Air Passenger Travel Arrivals in the United States

http://nces.ed.gov/nceskids/createagraph/default.aspx

If you don't like these examples, supply a graph of your own you have recently seen in the press or through work and critique it.

3. Histogram Grouping

Look at how different groupings in histograms on SAT scores can lead to different conclusions through this  interactive tool. (You can also choose something other than SAT scores, if it pleases you.)

Put in interval values of 10, 20, and 50 and discuss how that changes the findings. Which do you think is most appropriate and why? Would you choose different parameters depending on whether you wanted to make a point about scores being relatively uniform, or that higher scoring students are relatively unusual?

http://www.shodor.org/interactivate/activities/Histogram/

Dataset_Number of

Violent Crimes

Sheet1

Total Number of Violent Crimes - Large Cities in New York
Agency State Months Total Population Violent crime total Murder and nonnegligent Manslaughter Revised rape /2 Robbery Aggravated assault
Amherst Town Police Dept NY 12 118,860 128 1 16 43 68
Buffalo Police Dept NY 12 258,419 3,173 60 173 1,277 1663
Dutchess County Sheriff Office NY 12 61 - 0 22 7 32
Erie County Sheriff Office NY 12 94 1 11 82
Monroe County Sheriff Office NY 12 181 1 39 44 97
Nassau County Police Dep NY 12 1,329 6 103 550 670
New York City Police Dept NY 12 8,473,938 50,564 333 2,190 16,581 31460
Onondaga County Sheriff Department NY 12 201 - 0 29 52 120
Rochester Police Dept NY 12 210,347 1,787 32 209 698 848
Saratoga County Sheriff Department NY 12 57 1 13 5 38
Suffolk County Police Department NY 12 1,576 29 111 567 869
Syracuse Police Dept NY 12 144,534 1,172 20 78 406 668
Yonkers Police Dept NY 12 200,624 977 3 36 357 581
Total 61,300