The diagram shows the percentages of Covid-19 patients who displayed various symptoms.

(a)
Explain why the total percentage of people who displayed Covid-19 symptoms adds up to more than 100%.
(b)
Explain whether it is appropriate to represent the data on a pie chart.

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Worked solution

8(a)

1. Explain why the listed percentages can overlap

The percentages are for each symptom separately. A Covid-19 patient can have several symptoms, for example both fever and cough, so the same patient may be included in more than one percentage.

Answer

The total is more than $100\%$ because one patient may display more than one symptom, so the symptom percentages overlap and are counted more than once.

8(b)

1. Justify whether a pie chart is suitable for the symptom data

A pie chart shows how one whole is divided into non-overlapping categories that add to $100\%$ . Here, one patient may display more than one symptom, so the symptom categories overlap and the percentages add to more than $100\%$ . Hence, a pie chart is not appropriate.

Answer

No. A pie chart is not appropriate because patients may have more than one symptom, so the categories overlap and the percentages do not form parts of a single whole adding to $100\%$ .

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The diagram shows the percentages of Covid-19 patients who displayed various symptoms.

Worked solution

8(a)

8(b)

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