Question

Question 5 of 25The ages and grades of some of the 17 girls on a club soccer team areshown in the table.16 years old15 years old29th grade010th grade10Which two-way frequency table correctly shows the marginal frequencies?

Answer 1

Table D

Step-by-step explanation

We know that one of these tables shows the ages and grades of the 17 girls on a club soccer team.

Every two-way table that shows the marginal frequencies, must include in the lower right cell the total number of items surveyed - in this case, that number must be 17. Thus, the tables could be either A or D.

Also, the sum of all marginal frequencies must be equal to the total. In other words, the sum of the values of the right column of the table must be 17 and the sum of the values of the lower row must be 17 as well.

Hence, since it is the only table that meets the requirements mentioned above, the correct two-way frequency table is table D.