Question

a total of 1200 employees at a large company are surveyed and asked to choose all of their most preferred types of morning beverages from a given list. if a preferred beverage was not included on the list, they were asked to select the \other\ option and to write in their preferred beverage. the data gathered from these employees is presented in the table below. which one of the following statements about this data is correct?

beverage	percentage
tea	28%
juice	34%
water	21%
soda	16%
other	15%

none of the other answer options are correct.
108 of the employees in the sample chose the \other\ option.
a line graph would be appropriate to use because the beverage choices follow a natural order.
because percentages do not sum to 100, a pie chart would be inappropriate.
the variable \most preferred beverage\ is an example of a quantitative variable because of the percentages associated with each beverage type.

Explanation:

Step1: Calculate number of 'other' - option employees

The total number of employees is 1200 and the percentage of those who chose 'other' is 15%. We use the formula $n = N\times p$, where $N = 1200$ and $p=0.15$.
$n=1200\times0.15 = 180$.

Step2: Analyze line - graph suitability

Beverage choices (coffee, tea, juice, water, soda, other) are categorical, not ordered in a natural numerical sense, so a line - graph is not appropriate.

Step3: Analyze pie - chart suitability

A pie - chart can be used even if percentages don't sum to 100% when the data represents parts of a whole in a non - mutually exclusive way (as employees can choose multiple beverages here).

Step4: Analyze variable type

The variable "most preferred beverage" is a categorical variable, not a quantitative one, as it represents different beverage categories.

Answer:

None of the other answer options are correct