Question

Out of 106 total sophomores, there were forty-eight boys who received either an a, b, or c on their first math test. out of the twenty-eight total a’s, sixteen girls received a’s. out of the total fifty-four b’s, thirty girls received b’s. twelve boys received a c out of the twenty-four total c’s on the test. which two-way table represents this information

Answer 1

The table should have the titles: "Grades" for the horizontal axis and "Gender" for the vertical axis. The values for "Grades" are A, B, & C. The values for "Gender" are Boys and Girls. The information contained within the table should be as follows: 12 boys received an A, 24 boys received a B, 12 boys received a C; 16 girls received an A, 30 girls received a B, and 12 girls received a C. There should be a "Total" row at beneath the "Gender" section showing that there were 28 A's, 54 B's, and 24 C's. There should be an additional "Total" column at the end of "Grades" showing that there are 48 boys and 52 girls.

Answer 2

The two-way table that represents this information correctly is: Table B.

What is a Two-Way Table?

A two-way table is used to demonstrate the frequencies for two variables collated from a single group. Rows and columns are used to represent information. The pieces of information stated above are well represented by chart B.

For instance, in the horizontal row, the total number of boys that had a, b, and c was shown to be 48. This means that there were forty-eight boys who received either an a, b, or c on their first test.

Learn more about two-way tables here:

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