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Houghton Mifflin Harcourt Algebra 1, 2015

HM

Houghton Mifflin Harcourt Algebra 1, 2015 View details

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Exercise 1 Page 301

The last row and the last column show totals. The bottom right cell shows the grand total.

	Favorite type of movie
Gender	Action	Comedy	Drama	Total
Female	35	32	18	85
Male	12	28	10	50
Total	47	60	28	135

We are told a researcher surveyed 135 people, 85 females and 50 males, about the types of movies they prefer. We need to complete the partially filled in two-way frequency table. To begin, let's recall that the last row and the last column show totals. Also, the bottom right cell shows the grand total.

	Favorite type of movie
Gender	Action	Comedy	Drama	Total
Female	35		18	85
Male	12	28		50
Total	35+12		28	135

Let's now find the rest of the values using the following strategies.

To find the number of males who choose Drama, we can subtract the males who choose Action and Comedy from the total number of males.
To find the number of females who choose Comedy, we subtract the number of females who choose Action and Drama from the total number of females.
To find the number of people who choose Comedy, we subtract the number of people who choose Action and Drama from the grand total.

Let's do it!

	Favorite type of movie
Gender	Action	Comedy	Drama	Total
Female	35	85-(35+18)	18	85
Male	12	28	50-(12+28)	50
Total	47	135-(47+28)	28	135

Therefore, the final table is as follows.

	Favorite type of movie
Gender	Action	Comedy	Drama	Total
Female	35	32	18	85
Male	12	28	10	50
Total	47	60	28	135

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Exercises p.301