The National Center for Education Statistics (nces.ed.gov/nations report card/) reports average mathematics achievement scores for eighth graders in all 50 states:

a) Find the median, the IQR, the mean, and the standard deviation of these state averages.
b) Which summary statistics would you report for these data? Why?
c) Write a brief summary of the performance of eighth graders nationwide.

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State Alabama Alaska Arizona Arkansas California Colorado Connecticut Delaware Florida Georgia Hawaii Idaho Score State Score 269 Montana 282 Nebraska 280 278 276 New Jersey 290 285 282 289 285 278 Nevada New Hampshire 29 296 273 282 286 281 North Dakota 291 290 276 284 290 284 285 South Carolina 280 287 278 288 284 295 288 290 274 289 288 New Mexico New York North Carolina 279 Ohio 281 286 Oregon 285 288 Oklahoma Pennsylvania Rhode Island Indiana owa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota 290 South Dakota 281 273 Texas 289 Utah 287 301 280 Washington 295 West Virginia 271 Wisconsin Tennessee Vermont Virginia Mississipp283 Missouri