Question

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.

Part A: Estimate the IQR for the males' data. (2 points)

Part B: Estimate the difference between the median values of each data set. (2 points)

Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)

Part D: Provide a possible reason for the outlier in the data set. (2 points)

Answer 1

Part A: The Interquartile Range for the males' data is estimated to be around 24-28.

Part B: The difference between the median values of the two data sets is estimated to be around 16.

Part C: Both the male and female data sets appear to follow a normal distribution. Due to the outlier present in the male data set, the mean would not be the best measure of center for this data set. Instead, the median would be a more appropriate measure of center for both data sets.

Part D: The possible reason for the outlier in the data set could be that the movie was more popular among male viewers on the day they chose to attend than it was among female viewers.