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.

step-by-step explanation:

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.