Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
Mathematical Practices
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Exercise 2 Page 330

Begin by looking at each interval of the data displays.

See solution.

Practice makes perfect

Consider the given frequency table.

U.S. Population by Age and Gender
Ages (Years) Males Females
0-14 31 242 542 29 901 556
15-29 33 357 203 31 985 028
30-44 30 667 513 30 759 902
45-59 31 875 279 33 165 976
60-74 19 737 347 22 061 730
75-89 6 999 292 10 028 195

In the previous exercise, we first used a histogram to display each data set since it displays frequencies in intervals. From these histograms, we can see that the data trends are very similar between the Male and Female Populations.

As a second method of displaying the data, since each interval can also be seen as a different category, we used a bar graph. Additionally, it allows us to compare each interval by gender. Looking at the bar graph, we can see that the last three groups are greater for females while the first two groups are greater for males.

One possible conclusion that we can make is that it appears that men are born at a higher frequency than women but that women live longer. Please note that this is only one conclusion out of many possibilities.