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: Analyze each option

Option 1:

The proportion of car - commuting employees is $\frac{248}{497}\approx0.5$, but not exactly 0.5.

Option 2:

The proportion of walking - commuting employees is $\frac{20}{497}\approx0.04$, which is about 4%, close to 5%, and it is the smallest number among all categories.

Option 3:

The proportion of bicycle - commuting employees is $\frac{49}{497}\approx0.1$, but not exactly one - tenth.

Option 4:

The combined number of bus and train commuting employees is $101 + 79=180$. The proportion is $\frac{180}{497}\approx0.36$, which is less than one - third ($\frac{1}{3}\approx0.33$).

Option 5:

It is possible to construct a pie chart as the data represents the frequency of different non - numerical categories.

Answer:

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