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Houghton Mifflin Harcourt Algebra 1, 2015
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Houghton Mifflin Harcourt Algebra 1, 2015 View details
Module 8 Assessment Readiness
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Exercise 2 Page 302

The last row and the last column of the table contain total values. The bottom right cell contains the grand total. After you fill out the table, use it to verify each statement.

Table:

Like Running
Like Soccer Yes No Total
Yes 12 25 37
No 12 6 18
Total 24 31 55

A. False.
B. True.
C. False.

Some students were asked whether they like soccer and whether they like running. To complete the table, we have to remember that the last row and the last column show total values. Also, the bottom right cell contains the grand total.

Like Running
Like Soccer Yes No Total
Yes 12 31-6
No 24-12 6 18
Total 24 31 24+31
We have two ways of finding the total number of students who like soccer.
  1. We can subtract the total number of students who do not like soccer from the grand total.
  2. We can add the number of students who like both soccer and running and the number of students who like soccer but do not like running.

Either way will lead us to the same answer.

Like Running
Like Soccer Yes No Total
Yes 12 25 55-18 or 12+25
No 12 6 18
Total 24 31 55

Therefore, the completed table is as follows.

Like Running
Like Soccer Yes No Total
Yes 12 25 37
No 12 6 18
Total 24 31 55

Now we are given three statements and are asked to determine if they are True or False.

  • A. 12 students like soccer but not running. We can see in the table that the number of students who like soccer but not running is 25. Therefore, this statement is False.
  • B. Mazin surveyed 55 students in all. We can see in the table that the grand total is 55. Therefore, this statement is True.
  • C. 25 students like soccer. We can see in the table that the total number of students who like soccer is 37. Therefore, this statement is False.
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