Making Two-Way Tables — Quiz

Question 6 • Mathematics 8

Marcos makes a table to show how many students in his class wear glasses. There are 18 boys and 14 girls in the class. There are 5 boys and 7 girls who wear glasses. Which table correctly shows the data?

Answer

Table with 4 columns and 4 rows.Row 1: Column 1, empty; Column 2, 'Glasses'; Column 3, 'No Glasses'; Column 4, 'Total' Row 2: Column 1, 'Boys'; Column 2, '5'; Column 3, '7'; Column 4, '12' Row 3: Column 1, 'Girls'; Column 2, '9'; Column 3, '11'; Column 4, '20' Row 4: Column 1, 'Total'; Column 2, '14'; Column 3, '18'; Column 4, empty

Table with 4 columns and 4 rows.Row 1: Column 1, empty; Column 2, 'Glasses'; Column 3, 'No Glasses'; Column 4, 'Total' Row 2: Column 1, 'Boys'; Column 2, '14'; Column 3, '5'; Column 4, '19' Row 3: Column 1, 'Girls'; Column 2, '18'; Column 3, '7'; Column 4, '25' Row 4: Column 1, 'Total'; Column 2, '32'; Column 3, '12'; Column 4, empty

Table with 4 columns and 4 rows.Row 1: Column 1, empty; Column 2, 'Glasses'; Column 3, 'No Glasses'; Column 4, 'Total' Row 2: Column 1, 'Boys'; Column 2, '14'; Column 3, '18'; Column 4, '32' Row 3: Column 1, 'Girls'; Column 2, '5'; Column 3, '7'; Column 4, '12' Row 4: Column 1, 'Total'; Column 2, '19'; Column 3, '25'; Column 4, empty

Table with 4 columns and 4 rows.Row 1: Column 1, empty; Column 2, 'Glasses'; Column 3, 'No Glasses'; Column 4, 'Total' Row 2: Column 1, 'Boys'; Column 2, '5'; Column 3, '13'; Column 4, '18' Row 3: Column 1, 'Girls'; Column 2, '7'; Column 3, '7'; Column 4, '14' Row 4: Column 1, 'Total'; Column 2, '12'; Column 3, '20'; Column 4, empty

Explanation

The table should show 5 boys and 7 girls wearing glasses. The number without glasses is the class total minus the number wearing glasses: 18 − 5 = 13 boys and 14 − 7 = 7 girls. So the row totals are 18 boys and 14 girls, and choice D shows these values correctly.

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