Question

survey, people were asked to state their favorite type of television show. the pie chart below summarizes the responses o(a) which category was chosen by approximately one - third of those surveyed?select(b) approximately what percentage of those surveyed chose drama or comedy?write your answer as a multiple of 10% - that is, 10%, 20%, 30%,...%(c) if 6% of those surveyed chose sports, approximately what percentage chose other?3%6%12%200%

Explanation:

Step1: Analyze part (a)

A full - circle is \(360^{\circ}\). One - third of a circle is \(\frac{1}{3}\times360^{\circ}=120^{\circ}\). Looking at the pie - chart, the "Drama" section has an angle close to \(120^{\circ}\) (since \(\frac{1}{3}\) of the data).

Step2: Analyze part (b)

Count the number of "slices" for Drama and Comedy. Drama and Comedy together take up about 4 out of 10 equal - sized parts (if we assume the circle is divided into 10 approximately equal - sized mental sub - divisions). So the percentage is \(4\times10\% = 40\%\)

Step3: Analyze part (c)

If Sports is \(6\%\), and looking at the relative size of the "Other" and "Sports" slices. The "Other" slice is approximately twice the size of the "Sports" slice. So if Sports is \(6\%\), then Other is \(12\%\)

Answer:

(a) Drama
(b) \(40\%\)
(c) \(12\%\)