Question
1) Students reported the following earnings last month (in $): 211 228 243 261 279 287 311 314 329 347 368 379 391 393 411
1) Students reported the following earnings last month (in $):
211 228 243 261 279 287 311 314 329 347 368 379 391 393 411 446 508 542 687 729
a) Create a frequency distribution for the data using 200-249 for the first class and
grouping by 50's.
b) Explain why the first two classes in the table should not be 200-250, 250-300.
c) Explain why the first two classes in the table should not be 200-250, 251-301.
2) Times (in sec.) taken by two sets of individuals to complete a motor skills task are
given below.
College students (sample size n = 25):
50 42 52 43 28 35 47 51 45 52 38 20 38 52 46 29 38 44 48 44 46 43 35 43 43
Factory workers (sample size n = 37):
23 39 38 44 26 33 39 40 42 53 52 47 36 34 22 29 34 45 42 38 37 28 47 53 33
37 39 44 29 31 42 46 38 43 40 36 34
a) Construct a frequency table, including relative frequencies, for each sample above.
For each table, use 20-24 as your first class and continue to group by 5's from there.
b) Draw a histogram for each sample.
c) Describe the distribution for each sample, using the scheme ("center, spread, shape")
discussed on the "Interpreting Histograms" class handout.
d) Which of the two sets of individuals, on the whole, completed the task in less time?
Explain how you decide.
3) In a survey asking drivers to list their complaints about other drivers, the top
complaints were: tailgating, mentioned by 22% of those surveyed; not using turn signals
(19%), being cut off (16%), other drivers driving too slowly (11%), and other drivers being
rude (8%). Draw a Pareto chart for the data.
4) a) Draw a stem and leaf plot for the following data (# of hospitals in each state):
ALABAMA 119 KENTUCKY 107 NORTH DAKOTA 47
ALASKA 16 LOUISIANA 136 OHIO 193
ARIZONA 61 MAINE 38 OKLAHOMA 113
ARKANSAS 88 MARYLAND 51 OREGON 66
CALIFORNIA 440 MASSACHUSETTS 101 PENNSYLVANIA 236
COLORADO 71 MICHIGAN 175 RHODE ISLAND 12
CONNECTICUT 35 MINNESOTA 148 SOUTH CAROLINA 68
DELAWARE 08 MISSISSIPPI 102 SOUTH DAKOTA 52
DIST. OF COLUMBIA 11 MISSOURI 133 TENNESSEE 122
FLORIDA 227 MONTANA 53 TEXAS 421
GEORGIA 162 NEBRASKA 90 UTAH 42
HAWAII 19 NEVADA 21 VERMONT 15
IDAHO 41 NEW HAMPSHIRE 27 VIRGINIA 98
ILLINOIS 209 NEW JERSEY 96 WASHINGTON 92
INDIANA 113 NEW MEXICO 37 WEST VIRGINIA 59
IOWA 123 NEW YORK 231 WISCONSIN 129
KANSAS 133 NORTH CAROLINA 117 WYOMING 27
b) Briefly describe the distribution of the # of hospitals per state in terms of center,
spread, and shape; also identify any outliers
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