For Exercises 16.1 and 16.2, see page 16-5; for 16.3 and 16.4, see page 16-6; for 16.5 and 16.6, see page 16-8; for 16.7, see page 16-11; for 16.8, see page 16-12.

Question 16.7

16.7 CO2 Emissions.

Consider data on CO2 emissions for 2014 compact cars manufactured by the German makers of Mercedes Benz and BMW. For each car, the data are expressed in units of grams of carbon dioxide per kilometer driven. There are many ties among the observations. Arrange the readings in order and assign ranks, assigning all tied values the average of the ranks they occupy.

16.7

There are many tied values; the table below shows the corresponding ranks.

Type BMW Mercedes BMW BMW
CO2 151 152 161 166
Rank 1 2 3 5
# 1 1 1 3
Type BMW BMW Mercedes Mercedes
CO2 172 179 182 186
Rank 8.5 11.5 13 14
# 4 2 1 1
Type BMW Mercedes BMW BMW
CO2 189 197 198 200
Rank 15.5 17 18.5 20.5
# 2 1 2 2
Type BMW BMW Mercedes Mercedes
CO2 202 205 207 209
Rank 22 23.5 25 26.5
# 1 2 1 2
Type Mercedes BMW BMW Mercedes
CO2 232 246 255 264
Rank 28 29 30 32
# 1 1 1 3
Type Mercedes Mercedes
CO2 271 306
Rank 34 35
# 1 1

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