Question

a student surveyed some friends about their favorite type of ice cream. the results are shown in the bar graph below. ice cream part a: choose one ice cream flavor. determine the percentage of friends who named the flavor you chose. show all necessary work. (3 points) part b: based on the students findings, are you able to determine that the most popular ice cream flavor for the general population is the pistachio and vanilla? explain your reasoning. (2 points)

Explanation:

Step1: Calculate total number of friends surveyed

Add up the number of friends for each flavor: $1 + 3+2 + 3=9$.

Step2: Choose a flavor, e.g., Pistachio

Number of friends who chose Pistachio is 3.

Step3: Calculate percentage

Use the formula $\text{Percentage}=\frac{\text{Number of friends for chosen flavor}}{\text{Total number of friends}}\times100\%$. So for Pistachio, $\text{Percentage}=\frac{3}{9}\times 100\%=\frac{1}{3}\times100\%\approx 33.33\%$.

Step4: Analyze representativeness for Part B

The survey was only among some friends of a student. The sample is small and not randomly - selected from the general population. So we cannot conclude that Pistachio and Vanilla are the most popular flavors for the general population.

Answer:

Part A: For example, if choosing Pistachio, the percentage is approximately $33.33\%$.
Part B: No. The sample (friends of a student) is small and not randomly - selected from the general population, so the results cannot be generalized to the general population.