Question

A spinner is divided into 3 equal sectors numbered 1 to 3. The pointer on the spinner is spun 21 times and the results are shown. What is the relative frequency of spinning the number 1?

Answer 1

Solution

- The formula for the relative frequency of an event is:

$\begin{gathered} rf=\frac{f}{n} \\ where, \\ f=\text{ the number of times an event occurred in the observation} \\ n=\text{ the total frequencies} \end{gathered}$

- The number of times that 1 occurs in the dataset is 8 times.

- Thus, the number of times the event of spinning a "1" is 8. i.e. f = 8.

- We are told that the spinning takes place 21 times. Thus, n = 21.

- Therefore, the relative frequency of spinning the number 1 is:

$rf=\frac{8}{21}$