Question

At a vacation resort, the afternoon activity is either hiking or horseback riding. The activity organizers track the participants by age and create this frequency table. which statement best summarizes interest in hiking by the age categories shown in the table?

Answer 1

1) Given that Relative Frequency, is a measure of frequency in percentage (roughly speaking) so we need to insert other data for that table

Age Group Relative Frequency

Under 50 | 50 and over Under 50 | 50 and over

Hiking 28 26 61% 67%

Horseback Riding 18 13 39% 33%

Total 46 39

We can find the percentage using proportions like that:

46 ---100%

28 x

x = 2800/46

39-------100

26----- y

y = 67%

39----100

13-----z

z= 1300/39 = 33%

2) Examining the options

We have as the correct answer, the last one:

"The relative frequency for participants age 50 or over who prefer hiking is 6 percentage points more than that of participants under age 50 who prefer hiking " ( 67% to 61%)