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SecTIoN 1c Exercises 43
(a) Make a histogram of the data using intervals of width 2, 4.2 4.0 3.9 3.8 3.7 4.7
starting at 0. 3.4 4.0 4.4 5.0 4.6 3.7
(b) What proportion of countries had CO emissions of at 4.6 4.4 4.1 3.0 3.2 4.7
2
least 10 metric tons per person? 3.5 3.7 4.3 3.7 4.8 4.4
4.2 4.7 6.2 4.0 7.0 3.9
26. Traveling to work How long do people travel each day 3.4 3.4 2.9 3.3 4.0 4.2
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to get to work? The following table gives the average 3.2 3.4 3.7 3.5 3.4 3.7
travel times to work (in minutes) in a recent year for 3.9 3.7 3.8 3.1 3.7 3.6
workers in each state and the District of Columbia who
are at least 16 years old and don’t work at home. 51 4.5 3.7
29. Returns on common stocks The return on a stock
Travel time Travel time Travel time is the change in its market price plus any dividend
to work to work to work payments made. Return is usually expressed as a per-
State (min) State (min) State (min)
centage of the beginning price. The figure shows a
AL 24.9 KY 23.6 ND 17.3 histogram of the distribution of monthly percent return
AK 19.1 LA 25.7 OH 23.7 for the U.S. stock market (total return on all common
AZ 25.7 ME 24.2 OK 21.9 stocks) in 273 consecutive months. 52
AR 21.7 MD 33.2 OR 23.9
CA 29.8 MA 30.2 PA 27.2 80
CO 25.8 MI 24.6 RI 25.2
CT 26.6 MN 23.7 SC 25.0 60
DE 26.3 MS 24.8 SD 17.2 Number of months
DC 30.8 MO 23.9 TN 25.2 40
FL 27.8 MT 18.3 TX 26.6 20
GA 28.8 NE 18.8 UT 21.9
HI 27.5 NV 24.6 VT 23.3 0
ID 21.1 NH 27.5 VA 28.7 225 220 215 210 25 0 5 10 15
IL 29.2 NJ 32.2 WA 28.0 Monthly percent return on common stocks
IN 23.8 NM 22.3 WV 25.9 (a) A return less than zero means that stocks lost value in
IA 19.3 NY 33.6 WI 22.2 that month. About what percentage of all months had
KS 19.4 NC 24.8 WY 17.9 returns less than zero?
(b) Describe the shape of the distribution. Are there any
(a) Make a histogram to display the travel time data using outliers?
intervals of width 2 minutes, starting at 16 minutes.
(c) Estimate the center and variability of the distribution.
(b) In what proportion of states plus the District of Columbia
is the average travel time at least 20 minutes? 30. More healthy cereal? Researchers collected data on
calories per serving for 77 brands of breakfast cereal.
27. Home runs Here are the number of home runs hit by The histogram displays the data. 53
each of the 30 Major League Baseball teams in a single
season. Make a histogram that effectively displays the 30
distribution of number of home runs hit. Describe the
distribution. 25
20
220 249 213 245 256 182 227 223 224 149
288 162 220 279 146 250 307 242 306 257 Frequency 15
215 163 219 239 167 210 217 223 247 231 10
28. Country music Here are the lengths, in minutes, of 5
50 songs by country artist Dierks Bentley. Make a his- 0
togram that effectively displays the distribution of song 50 60 70 80 90 100 110 120 130 140150 160
length. Describe the distribution. Calories
(a) About what percentage of the cereal brands have 130
or more calories per serving?
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