Question

1. a sample of employees at a large company is asked the following question: “if you could work remotely one day each week, which day would you choose?” the percentage of employees who chose each day is displayed in the graph below. which one of the following statements about this graph is correct? a. this distribution should be described as being skewed to the left because the tallest bars are located on the far - right portion of the x - axis. b. friday was chosen by more employees than saturday. c. sunday and monday together account for nearly half of the responses. d. a histogram would be more appropriate than a bar graph for purposes of displaying this kind of data. e. none of the above statements are correct.

Explanation:

Step1: Analyze option A

Skewness is about the shape of the distribution of a numerical variable. Here, days of the week are categorical, not numerical. So, this option is incorrect as the concept of skewness doesn't apply.

Step2: Analyze option B

From the bar - graph, the bar for Friday is shorter than the bar for Saturday. So, more employees chose Saturday than Friday, and this option is incorrect.

Step3: Analyze option C

The percentages for Sunday and Monday are relatively small. The sum of their heights is far from half of the total (total height of all bars). So, this option is incorrect.

Step4: Analyze option D

A histogram is used for numerical data grouped into intervals. Since days of the week are categorical, a bar - graph is the appropriate display. So, this option is incorrect.

Step5: Analyze option E

Since options A - D are incorrect, option E is correct.

Answer:

E. None of the above statements are correct.