Part A: The IQR for the males' data. 23
Part B: The difference between the median values of each data set. 13
Part C: The distribution of the data and if the mean or median would be a better measure of center for each Median for the males and Mean for the females
Part D:The possible reason for the outlier in the data set. The day the movie premiered
What will be the answers?
The likely missing part of the question; The Box Plots are to compare The Number of Males and The Number of Females attending the latest superhero movie every day in a given month
The known parameters
The 5 number summary in a are;
Minimum 0 0
FIrst Quarlite Q1 2 5
Second Quarlite, Mediun Q2 20 7
Third Quarlite 25 40
Maximum 50 18
Outlier 46
Part A:
The Inter Quartile Range, IQR = Q₃ - Q₁
For the males, we have, IQR = 25 - 2 = 23
Part B:
The difference between the median values for the males and females is given as follows;
Difference between median = Q₂ Males - Q₂ Females
∴ Difference between median = 20 - 7 = 13
The difference between the median values for the males and females = 13
Part C:
The distribution of the data for the males is skewed left, with almost all the data in the first half
The better measure of center for the skewed data is the median, given
that three quarter of the data have values that are less than half of the
range of values in the data set, and that the median is close to the third
quartile, the mean will be located further towards the minimum value of
the data than the median
The distribution of the data for the females consists of the interquartile range located approximately in the middle between the max and the min values with the median being close to the first quartile, therefore, the mean will be a better measure of center as it will be located further from the first quartile and closer midway in the IQR
Part D;
The possible reason for the outlier in the data set may be due to the first day the latest super hero movie is premiered
To know more about data sets follow
https://brainly.com/question/4219149
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