Displaying Data Graphically Practice

Question

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Question
Use the image to answer the question.

A pie chart shows the following distribution: 1 to 2, 35; 3 to 4, 18; 5 to 6, 13; 7 plus, 11. Each segment of the pie chart shows a different pattern.

Heraldo surveyed a group of people and asked them how many tattoos they had. His results are represented in the circle graph. What percentage of people responded with 1–2? Express the answer as a decimal, and round to the nearest tenth.

Answer 1

To find the percentage of people who responded with 1-2 tattoos, we need to calculate the angle of the corresponding sector on the pie chart.

The total number of people surveyed can be calculated by adding up the values in each category:
35 (1-2) + 18 (3-4) + 13 (5-6) + 11 (7 plus) = 77

To find the angle for the 1-2 category:
Angle = (Number of people in 1-2 category / Total number of people surveyed) x 360 degrees
Angle = (35 / 77) x 360 degrees
Angle ≈ 163.6 degrees

Now, to find the percentage:
Percentage = (Angle / 360 degrees) x 100
Percentage = (163.6 / 360) x 100
Percentage ≈ 45.4%

Therefore, approximately 45.4% of people responded with 1-2 tattoos.