Plz 70 points

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.

Two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 3, median at 10, Q3 at 15, maximum at 35. The bottom box plot is labeled Females. Minimum at 0, Q1 at 2, median at 6, Q3 at 9, maximum at 14, and a point at 31.

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)

Part A: 12

Part B: 4

Part C: Skewed data, median is the better measure of central tendency

Part D: Preference

Step-by-step explanation:

In the question, we are given the five box and whisker plot values as follows;

Males

Minimum = 0

Q1 = 3

Median (Q2) = 10

Q3 = 15

Maximum = 35

Females

Minimum = 0

Q1 = 2

Median (Q2) = 6

Q3 = 9

Maximum = 14

Outlier = 31

Part A: Estimate,  the Interquartile range, IQR for males is given as follows;

IQR = Q3 - Q1 = 15 - 3 = 12

Part B: The difference between the male and female data set can be derived from;

Median Male = 10

Median Female = 6

Difference in median = Median Male - Median Female = 10 - 6 = 4

Part C: From the presentation of the data, both male and female box plots are skewed to the left, therefore, the median is a better measure of central tendency than the mean in the above cases

Part D: Gender based personal preference.