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30 students each own one pet - OCR - GCSE Maths - Question 6 - 2019 - Paper 1

Question 6

30 students each own one pet. The pie chart shows the proportion of each type of pet owned by the 30 students. (a) Which type of pet is the mode? (b) Use the infor... show full transcript

Worked Solution & Example Answer:30 students each own one pet - OCR - GCSE Maths - Question 6 - 2019 - Paper 1

Step 1

Which type of pet is the mode?

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Answer

To determine the mode, we look for the pet type with the highest frequency represented in the pie chart. The angles for each pet type are as follows:

Horse: 72°
Rabbit: 36°
Mouse: 24°
Dog: 144°
Cat: 144°

The largest angle is for "Dog" and "Cat" (both 144°), indicating they are the most frequently owned pets. Since both share the same highest frequency, we can state that there are two modes: Dog and Cat.

Step 2

Use the information in the pie chart to complete this bar chart.

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Answer

From the pie chart, we can calculate the number of students for each type of pet by converting the angles into proportions based on the total of 30 students:

Horse: $\frac{72}{360} \times 30 = 6$ students
Rabbit: $\frac{36}{360} \times 30 = 3$ students
Mouse: $\frac{24}{360} \times 30 = 2$ students
Dog: $\frac{144}{360} \times 30 = 12$ students
Cat: $\frac{144}{360} \times 30 = 12$ students

Using this information, the bar chart would show:

Rabbit: 3
Mouse: 2
Cat: 12
Dog: 12
Horse: 6

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