AnswersMathematics 8Interpreting Two-Way Tables — QuizQuestion 3
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Interpreting Two-Way Tables — Quiz

Question 3 • Mathematics 8

The given table describes band members at Mike’s school. Band Member Knowledge of Instruments Can Only Play One Instrument Can Play More than One Instrument Grade 6 15 6 Grade 7 20 8 Grade 8 18 7 Mike used the computation the fraction with numerator 7 and denominator open paren 6 plus 8 plus 7 close paren almost equal to 0 point 3 3 is equal to 33 percent to find the percentage of eighth-grade band members who can play more than one instrument. What error did Mike make?

Answer
A
Mike should have used the sum of all the cell values as his denominator.
B
Mike should have used the number of eighth-grade students who can only play one instrument as the denominator of his fraction.
C
Mike included 7 when finding a sum to use as the denominator of his fraction.
D
Mike used the total of the column containing 7 as his denominator instead of the total of the row containing 7 .

Explanation

To find the percentage of eighth-grade band members who can play more than one instrument, Mike should divide 7 by the total number of eighth-grade band members: 18 + 7 = 25. Instead, he used 6 + 8 + 7 = 21, which is the total for the “can play more than one instrument” column. Therefore, he used the column total instead of the eighth-grade row total.

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