Question

question 10 of 18
in a survey, 300 adults and children were asked whether they preferred hamburgers or pizza. the survey data are shown in the relative frequency table.

what percentage of the people surveyed are children?
a. 35%
b. 11%
c. 29%
d. 40%

Explanation:

Step1: Find the total relative frequency of adults

The relative frequency of adults who prefer hamburgers is \(0.24\) and who prefer pizza is \(0.36\). So the total relative frequency of adults is \(0.24 + 0.36=0.6\)

Step2: Find the relative frequency of children

Since the sum of all relative - frequencies is \(1\). Let the relative frequency of children be \(x\). We know that \(x+0.6 = 1\). Solving for \(x\), we get \(x=1 - 0.6=0.4\)

Step3: Convert relative frequency to percentage

To convert the relative frequency of children (\(0.4\)) to a percentage, we use the formula \(Percentage=x\times100\%\). So \(0.4\times100\% = 40\%\)

Answer:

D. \(40\%\)