Question

In: Statistics and Probability

Suppose that the U.S. Environmental Protection Agency reported the following sulphur dioxide emissions (in tons) for...

Suppose that the U.S. Environmental Protection Agency reported the following sulphur dioxide emissions (in tons) for the 48 states in the continental United States for a particular year.

State SO2
Emissions		 State SO2
Emissions		 State SO2
Emissions		 State SO2
Emissions
AL 106,169 IN 268,231 NC 48,168 RI 30
AR 73,592 KS 30,035 ND 55,217 SC 26,793
AZ 23,703 KY 188,129 NE 65,838 SD 15,356
CA 241 LA 80,147 NH 3,181 TN 56,419
CO 38,301 MA 10,855 NJ 2,446 TX 365,521
CT 1,121 MD 25,131 NM 17,749 UT 21,158
DE 2,254 ME 887 NV 7,441 VA 38,792
FL 89,079 MI 194,404 NY 17,811 VT 16
GA 80,963 MN 24,380 OH 282,000 WA 2,873
IA 76,858 MO 141,444 OK 74,439 WI 62,448
ID 21 MS 77,500 OR 14,018 WV 86,215
IL 135,880 MT 16,230 PA 252,092 WY 40,685

Use these data to calculate the values (in tons) in the five-number summary. (Hint: See Example 3.13.)

smallest observation

slower quartile  

median  

upper quartile  

Largest observation tons

Solutions

Expert Solution

Sort the S02 conc

AL 16
AR 21
AZ 30
CA 241
CO 887
CT 1121
DE 2254
FL 2446
GA 2873
IA 3181
ID 7441
IL 10855
IN 14018
KS 15356
KY 16230
LA 17749
MA 17811
MD 21158
ME 23703
MI 24380
MN 25131
MO 26793
MS 30035
MT 38301
NC 38792
ND 40685
NE 48168
NH 55217
NJ 56419
NM 62448
NV 65838
NY 73592
OH 74439
OK 76858
OR 77500
PA 80147
RI 80963
SC 86215
SD 89079
TN 106169
TX 135880
UT 141444
VA 188129
VT 194404
WA 252092
WI 268231
WV 282000
WY 365521

smallest observation=minimum=16

used excel formula

=QUARTILE(B1:B48,0)

Largest observation tons=maximum=365521

used excel formula

=QUARTILE(B1:B48,1)

lower quartile=Q1=13227.25

median=38546.5

used excel formula

=QUARTILE(B1:B48,2)

upper quartile =80351

used excel formula

=QUARTILE(B1:B48,3)

smallest observation 16
slower quartile   13227.25
median   38546.5
upper quartile   80351
Largest observation tons 365521

orchestra answered 1 year ago
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