Question

A survey asked two age groups which summer sport they most preferred. The results are shown in the table below.

Age 10-19 Age 20-29 Total
Ski 12 15 27
Swim 102 88 190
Kayak 35 42 77
Hike 23 123 146
Total 172 268 440
Of the total people surveyed, what is the relative frequency of 10-19 year olds who preferred to ski?

2.73%
6.98%
12%
44.44%

Answer 1

The correct answer option is 6.98%.

Explanation:

We are given the results of a survey which asked two age groups which summer sport they most preferred.

We are to find the relative frequency of 10-19 year old who preferred to ski.

For that, we will divide the number of kids aged 10-19 years who prefer to ski by the total number of people who prefer to ski and multiply by 100.

Relative frequency = 12/172 * 100 = 6.98%

Answer 2

6.98%

Explanation:

To find relative frequency we divide frequency with the total number participants in that age bracket

Total number of participants age 10-19=172.....................given in the table

The frequence for those who ski at age 10-19=12---------------given in table

Relative frequency= 12/172 = 0.0697

Expressed as a percentage= 0.06976×100 =6.98%