Question

the table shows the frequencies for the data from the previous task about part - time employment for 15 randomly selected high school students. use the information to complete the relative frequency column of the table. express answers as percentages rounded to the nearest whole number.
a =
b =

Explanation:

Step1: Calculate relative frequency formula

The formula for relative frequency is $Relative\ Frequency=\frac{Frequency}{Total\ Frequency}\times100\%$. The total frequency is $1 + 6+3 + 5=15$.

Step2: Calculate value of A

For lifeguard, frequency $f = 3$. Using the formula $A=\frac{3}{15}\times100\%$.

$$\begin{align*} \frac{3}{15}\times100\%&=\frac{1}{5}\times100\%\\ & = 20\% \end{align*}$$

Step3: Calculate value of B

For retail, frequency $f = 5$. Using the formula $B=\frac{5}{15}\times100\%$.

$$\begin{align*} \frac{5}{15}\times100\%&=\frac{1}{3}\times100\%\\ &\approx33\% \end{align*}$$

Answer:

$A = 20\%$, $B=33\%$