Open the dataPollution. For the SO2 column compute the three quantities: Average, Median, and Standard Deviation.

I) Which of the following is true? (10 points)

• a. Median < Average < Standard Deviation
• b. Average < Standard Deviation < Median
• c. Average < Median < Standard Deviation
• d. Standard Deviation < Median < Average
• e. None of these

II) Among these three numbers which one describes the amount of Randomness or Variation in the data? (10 points)

• a. Average
• b. Median
• c. Standard Deviation
• d. None of these

III) Among these three quantities which one is the least sensitive to the outliers? (10 points)

• a. Average
• b. Median
• c. Standard Deviation
• d. None of these

Hartford 82 412 158 49.1 9 43.37 127

Wilmington 43 80 80 54 9 40.25 114

Washington 30 434 757 57.3 9.3 38.89 111

Jacksonville 18 136 529 68.4 8.8 54.47 116

Miami 14 207 335 75.5 9 59.8 128

Atlanta 32 368 497 61.5 9.1 48.34 115

Chicago 131 3344 3369 50.6 10.4 34.44 122

Indianapolis 40 361 746 52.3 9.7 38.74 121

Des Moines 20 104 201 49 11.2 30.85 103

Wichita 10 125 277 56.6 12.7 30.58 82

Louisville 35 291 593 55.6 8.3 43.11 123

New Orleans 9 204 361 68.3 8.4 56.77 113

Baltimore 47 625 905 55 9.6 41.31 111

Detroit 46 1064 1513 49.9 10.1 30.96 129

Minneapolis-St. Paul 42 699 744 43.5 10.6 25.94 137

Kansas City 18 381 507 54.5 10 37 99

St. Louis 61 775 622 55.9 9.5 35.89 105

Omaha 17 181 347 51.5 10.9 30.18 98

Albuquerque 15 46 244 56.8 8.9 7.77 58

Albany 56 44 116 47.6 8.8 33.36 135

Buffalo 11 391 463 47.1 12.4 36.11 166

Cincinnati 27 462 453 54 7.1 39.04 132

Cleveland 80 1007 751 49.7 10.9 34.99 155

Columbus 27 266 540 51.5 8.6 37.01 134

Philadelphia 79 1692 1950 54.6 9.6 39.93 115

Pittsburgh 63 347 520 50.4 9.4 36.22 147

Providence 136 343 179 50 10.6 42.75 125

Memphis 10 337 624 61.6 9.2 49.1 105

Nashville 23 275 448 59.4 7.9 46 119

Dallas 11 641 844 66.2 10.9 35.94 78

Houston 10 721 1233 68.9 10.8 48.19 103

Salt Lake City 28 137 176 51 8.7 15.17 89

Norfolk 38 96 308 59.3 10.6 44.68 116

Richmond 38 197 299 57.8 7.6 42.59 115

Seattle 40 379 531 51.1 9.4 38.79 164

Charleston 40 35 71 55.2 6.5 40.75 148

Milwaukee 20 569 717 45.7 11.8 29.07 123