Question

in a recent phone survey, people were asked to state their favorite type of television show. the pie chart below summarizes the responses of those surveyed. (a) which category was chosen by approximately one - eighth of those surveyed? sports (b) approximately what percentage of those surveyed chose other or drama? write your answer as a multiple of 10% - that is, 10%, 20%, 30%,... 70% (c) if 24% of those surveyed chose comedy, approximately what percentage chose sports? 8% 16% 33% 72%

Explanation:

Step1: Analyze one - eighth in percentage

One - eighth as a percentage is $\frac{1}{8}\times100\% = 12.5\%\approx10\%$. By looking at the pie - chart, Sports seems to be around this proportion for part (a).

Step2: Estimate the combined percentage for Other and Drama

Visually estimate the combined size of the Other and Drama sectors. The combined proportion of Other and Drama is approximately 40% (not 70%).

Step3: Calculate percentage for Sports

If Comedy is 24%, and we assume the pie - chart is divided proportionally. Since Sports is about half the size of Comedy visually, the percentage of people who chose Sports is approximately 12% which is closest to 10% but among the given options 16% is the closest estimate.

Answer:

(a) Sports
(b) 40%
(c) 16%