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Lesson 6 Comparing Histograms

Part 1. Practice describing histograms by filling in the blanks.

1. The histogram shows the length of hospital stays

(in ______) for pregnant women admitted to

hospitals in Illinois who were having complications

upon arrival. The distribution is ______

with stays ranging from ____ to ___ hours. The center

is around _____ hours with the majority of stays lasting

between 1 and _____ hours. There are relatively _____

stays longer than ____ hours.

  1. The distribution of the umber of visits to the Organic

Chemistry website for each student for the semester is

______with the number of visits

ranging from ____ to _____ visits. The distribution is ______

at 14 visits with many students visiting ____ times.

There is an ______in the distribution, two students

who visited the site _____. The next ______number of visits

was ____.

  1. The cost of living in the 32 U.S. cities

represented on the histogram is ______

and ______.

The distribution is ______around $____ and

spread out with values ranging from

_____ to _____.

  1. The distribution of body fat percentages for men is ______and ______-______with a center around _____%. Body fat percentages for men vary from approximately ______% to _____%. The distribution of body fat percentages for women is ______and slightly ______- with a typical value of ____%. The women’s body fat varies from ____% to ____%. In general, the body fat percentages of _____ are ______than the body fat percentages of ______. Additionally the body fat percentages of men appear more ______than the body fat percentages of ______.

Part 2. Complete each question.

  1. A study examined cholesterol levls of people who had smoked for 25 years and people of similar ages who had smoked for no more than 5 years and then stopped.

Smokers / Ex-smokers
225 / 211 / 209 / 284 / 250 / 134 / 300
258 / 216 / 196 / 288 / 249 / 213 / 310
250 / 200 / 209 / 280 / 175 / 174 / 328
225 / 256 / 243 / 200 / 160 / 188 / 321
213 / 146 / 225 / 237 / 213 / 257 / 292
232 / 267 / 232 / 216 / 200 / 271 / 227
216 / 243 / 200 / 155 / 238 / 163 / 263
216 / 271 / 230 / 309 / 192 / 242 / 249
183 / 280 / 217 / 305 / 242 / 267 / 243
287 / 217 / 246 / 351 / 217 / 267 / 218
200 / 280 / 209 / 217 / 183 / 228
  1. Create a histogram for both groups

5b. Write a comparison of the two histograms from 5a.

  1. A consumer organization compared gas mileage figures for several models of cars made in the U.S. with autos manufactured in other countries. The data is shown in the table.

U.S. Models / 16.9 15.5 19.2 18.5 30.0 30.9 20.6 20.8 18.6 18.1 17.0 17.6 16.5 18.2 26.5 21.9 27.4 28.4 28.8 26.8 33.5 34.2
Others / 16.2 20.3 31.5 30.5 21.5 31.9 37.3 27.5 27.2 34.1 35.1 29.5 31.8 22.0 17.0 21.6
  1. Create a histogram for both groups

b.Write a comparison of the two histograms.

Part 3. Analyzing Histograms

7. This histograms shows the heights of seniors at a local high school, collected so that students could be arranged with shorter ones in front and taller ones in back for a class photograph. Give a reason to account for this distribution.

8 The histogram displays the body fat percentages of 65 students taking a college health course. In addition to describing the distribution, give a reason to account for the shape of this distribution.

  1. The histogram shows the sizes (in acres) of 169 farms in LakeCounty. Approximate the percentage of farms that are under 100 acres.
  1. The histograms show the cost of living, in dollars, for 32 U.S. cities.
  2. The bin size is width of each rectangle in the histograms. What are the two bin sizes in these histograms?
  1. Which histogram do you find the more informative? Why?

Source: Bock, Vellman, DeVeaux. Stats Modeling the World