Question

relative frequencies
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:
based on the data, which statement is most likely correct?
a. in grade 8, 17 students liked swimming.
b. in grade 9, 27% of students liked volleyball
c. in grade 9, 14 students liked running.
d. in grade 9, 18% of students liked running.

favorite sport

	swimming	running	volleyball	row totals
grade 9	0.14	0.18	0.22	0.54
column totals	0.31	0.42	0.27	1

Explanation:

Step1: Analyze row relative frequencies

Row relative frequencies represent the proportion of students in each grade who prefer a sport. For Grade 9, the relative frequency for running is given as $0.18$, which equals $18\%$.

Step2: Evaluate other options

• Option A: We only have the relative frequency ($0.17$) for Grade 8 swimming, no total student count, so we can't calculate the number of students.
• Option B: Grade 9 volleyball relative frequency is $0.22$ ($22\%$), not $27\%$.
• Option C: We only have the relative frequency ($0.18$) for Grade 9 running, no total student count, so we can't calculate the number of students.

Answer:

D. In Grade 9, 18% of students liked running.