Question

Dean collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected: favorite sport swimming running volleyball row totals grade 8 0. 17 0. 24 0. 05 0. 46 grade 9 0. 14 0. 18 0. 22 0. 54 column totals 0. 31 0. 42 0. 27 1 based on the data, which statement is most likely correct? in grade 8, 17 students liked swimming. In grade 9, 27% of students liked volleyball. In grade 9, 14 students liked running. In grade 9, 18% of students liked running.

Answer 1

The statement that is most correct is (b) In Grade 8, 17% of students liked running.

How to interpret the two-way frequency table

The students that like swimming

From the table, we have the following highlights

• 24% students like swimming in grade 8
• 18% students like swimming in grade 9

The students that like running

From the table, we have the following highlights

• 17% students like running in grade 8
• 14% students like running in grade 9

The students that like volleyball

From the table, we have the following highlights

• 5% students like volleyball in grade 8
• 54% students like volleyball in grade 9

When the above highlights are compared to the given options, the correct statement is (b) In Grade 8, 17% of students liked running.

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