Question

1. patty surveyed students at her school to find out what kind of pets they have. the following table shows the survey results.

survey results: type of pet
pet dog cat rodent (gerbil/rat/mouse)
number of students 39 44 21
a) draw a circle graph to represent the data.

Explanation:

Step1: Calculate total number of students

Total students \(=39 + 44+21=104\)

Step2: Calculate percentage for each pet

• For dog: \(\frac{39}{104}\times100 = 37.5\%\)
• For cat: \(\frac{44}{104}\times100\approx42.31\%\)
• For rodent: \(\frac{21}{104}\times100\approx20.19\%\)

Step3: Calculate central angles

• Dog: \(37.5\%\times360^{\circ}=135^{\circ}\)
• Cat: \(42.31\%\times360^{\circ}\approx152.32^{\circ}\)
• Rodent: \(20.19\%\times360^{\circ}\approx72.68^{\circ}\)

Step4: Draw the circle graph

• Use a protractor to draw sectors with the calculated central angles. Label each sector as Dog (\(135^{\circ}\)), Cat (\(\approx152.32^{\circ}\)), and Rodent (\(\approx72.68^{\circ}\))

Answer:

Circle graph with sectors of \(135^{\circ}\) (Dog), \(\approx152.32^{\circ}\) (Cat), and \(\approx72.68^{\circ}\) (Rodent)