Question

A group of people in an art class and a crafts class were surveyed whether they exercise more than 5 hours a week or less than 5 hours a week. In the art class, 5 people exercise more than 5 hours a week and 8 people exercise less than 5 hours a week. In the crafts class, 10 people exercise more than 5 hours a week and 4 people exercise less than 5 hours a week.

What is the relative frequency of people who exercise more than 5 hours a week in the art class to the total number of people surveyed?

Answer 1

The relative frequency of people who exercise more than 5 hours a week in the art class is 0.3846

Step-by-step explanation:

To find the relative frequency of people who exercise more than 5 hours a week in the art class to the total number of people surveyed, we need to calculate the proportion of people in the art class who exercise more than 5 hours a week.

In the art class, there are 5 people who exercise more than 5 hours a week and 8 people who exercise less than 5 hours a week. Therefore, the total number of people in the art class is 5 + 8 = 13.

The relative frequency can be calculated as the proportion of people who exercise more than 5 hours a week in the art class to the total number of people surveyed:

Relative frequency = Number of people who exercise more than 5 hours a week in the art class / Total number of people surveyed

Substituting the values, we get:

Relative frequency = 5 / 13 = 0.3846 (rounded to four decimal places)

Answer 2

The Relative Frequency is how often something happens out of all possible outcomes. Here you have numbers -- Arts - 5 more, 8 less Crafts- 10 more, 4 less ------------------- What is the relative frequency of people who exercise more than 5 hours a week in Arts class? There are 5 people in arts that exercise more than 5 hours/week. The total number of people all together surveyed is 5 + 8 + 10 + 4 = 27 people There are 5 out of 27 people that are in this catagory Relative Frequency = 5/27 = 0.19