Question

a sample of university employees are surveyed about their primary method of commuting to work. the results of this survey are presented in the table below. if we use this table of data to construct a pie chart, which one of the following statements most accurately depicts what this pie chart would look like?

commuting method	number of employees
bus	101
train	79
bicycle	49
walking	20

the slice for \car\ would encompass exactly half of the pie chart.
the slice for \walking\ would be about 5% of the pie chart, making it the smallest slice.
the slice for \bicycle\ represents one - tenth of the pie chart.
the combined slices for \bus\ and \train\ would take up a little more than one - third of the pie chart.
it would be impossible to construct a pie chart to graph this data because the categories are not numerical.

Explanation:

Step1: Calculate total number of employees

$248 + 101+79 + 49+20=497$

Step2: Calculate percentage for walking

$\frac{20}{497}\times100\approx 4.02\%\approx 5\%$ and it has the smallest number among all categories.

Step3: Analyze other statements

• For car: $\frac{248}{497}\times100\approx 49.9\%

eq 50\%$.

• For bicycle: $\frac{49}{497}\times100\approx 9.86\%

eq 10\%$.

• For bus and train combined: $\frac{101 + 79}{497}\times100=\frac{180}{497}\times100\approx 36.2\%<\frac{1}{3}\times100 = 33.3\%$. And pie - chart can be constructed for non - numerical categories with numerical frequencies.

Answer:

The slice for "Walking" would be about 5% of the pie chart, making it the smallest slice.