Question

1. before a school dance, the organizing committee did a survey of students to find out their music preferences. the graph below shows the number of students who prefer each type of music. survey results: music preferences a) how many people were surveyed? b) what percentage of the people prefer rock music? c) calculate the number of degrees in the circle that represent those who prefer r&b music.

Explanation:

Step1: Calculate total surveyed people

Add all values: \(6 + 14+52 + 65\)

$$6+14+52 + 65=137$$

Step2: Find percentage of rock - music preferrers

Number of rock - music preferrers \(n = 52\). Formula for percentage \(P=\frac{n}{N}\times100\) (where \(N = 137\))

$$P=\frac{52}{137}\times100\approx37.96\%$$

Step3: Calculate degrees for R&B

Number of R&B preferrers \(n = 14\). Formula for degrees in a pie - chart \(D=\frac{n}{N}\times360\) (where \(N = 137\))

$$D=\frac{14}{137}\times360\approx36^{\circ}$$

Answer:

a) \(137\)
b) \(37.96\%\)
c) \(36^{\circ}\)