Answer
The pie chart is shown below.
Work Step by Step
For a pie chart, it is better to use the responses and relative frequencies data and leave out the frequencies data, as the purpose of a pie chart of showing the division of all responses and its partition would be better clarified using the relative frequencies and percentage.
We need to translate the relative frequency of each response into a percentage value. To do so, we just have to multiply the relative frequencies by $100\%$. The results are:
- 'I do not drive a car' response: $5\%$.
- 'Never': $2\%$
- 'Rarely': $5\%$
- 'Sometimes': $7\%$
- 'Most of the time': $15\%$
- 'Always': $65\%$.
Now we need a degree measure for each sector of response, which can be obtained by the following formula: $$\text{Degree measure}=\text{Relative frequency}\times360^\circ$$
- I do not drive a car: $0.05\times360^\circ=18^\circ$
- Never: $0.02\times360^\circ=7.2^\circ$
- Rarely: $0.05\times360^\circ=18^\circ$
- Sometimes: $0.07\times360^\circ=25.2^\circ$
- Most of the time: $0.15\times360^\circ=54^\circ$
- Always: $0.65\times360^\circ=234^\circ$
Now it's time to draw the pie chart. We draw a big circle, then divide each sector according to the above-calculated angles.
The resulting pie chart is shown below.
(The percentage of the 'Always' sector has been adjusted to $66%$ due to the fact that during calculations, faults in approximation has made the total percentage not equal $100\%$)
