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?

the variable most preferred beverage is an example of a quantitative variable because of the percentages associated with each beverage type.

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.

none of the other answer options are correct.

108 of the employees in the sample chose the other option.

Explanation:

Step1: Analyze the first option

A qualitative variable is about categories (like beverage types: coffee, tea etc.), not quantitative (which would be numerical values that can be measured). So the first option is wrong.

Step2: Analyze the second option

Beverage choices (coffee, tea, juice etc.) are categorical and not in a natural order (like time - ordered data for a line graph). So a line graph is inappropriate.

Step3: Analyze the third option

Since employees can choose multiple beverages (as they are asked to choose all their most preferred), the sum of percentages exceeding 100% is expected. A pie - chart is for parts of a whole (where sum of percentages is 100% when there is no overlap). So this option is wrong.

Step4: Analyze the fifth option

If there are 1200 employees, the number of employees who chose “other” is \(1200\times0.15 = 180
eq108\).

Answer:

None of the other answer options are correct.