Deanna 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. 14 0. 18 0. 22 0. 54 Grade 9 0. 17 0. 24 0. 05 0. 46 Column totals 0. 31 0. 42 0. 27 1 Based on the data, which statement is most likely correct? In Grade 8, 14 students liked swimming. In Grade 9, 31% of students liked swimming. In Grade 8, 22% of students liked volleyball. In Grade 9, 5 students liked volleyball.

In Grade 8, 22% of students liked volleyball.

Step-by-step explanation:

Given:

The table representing the relative frequencies of different sports in different grades among the students.

                          Swimming      Running    Volleyball                   Row totals

Grade 8                        0.14           0.18         0.22                          0.54

Grade 9                        0.17           0.24        0.05                          0.46

Column totals              0.31           0.42        0.27                             1

Relative frequency gives the ratio of the number of quantities of a particular kind and the total number of quantities.

From the above table, we can conclude the following points:

Grade 8:

14% liked swimming, 18% liked running and 22% liked volleyball. So, a total of 54% students liked playing sports.

Grade 9:

17% liked swimming, 24% liked running and 5% liked volleyball. So, a total of 46% students liked playing sports.

Combining students of grade 8 and 9:

31% liked swimming, 42% liked running and 27% liked volleyball.

From all the options available, we observe that, third option is only correct.

In Grade 8, 22% of students liked volleyball.

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step-by-step explanation: