The boxplots 1 and 2 represent the distribution of data using a five number summary for the male and the female attendance.
What will be the solution?
(a) The IQR of the male's data
The first box plot represents the male's boxplot.
So, we have:
Upper quartile (Q3) = 14
Lower quartile (Q1) = 2
The IQR is the difference between the above values
IQR = Q3 - Q1
So, we have:
IQR = 14 - 2 = 12
So: the IQR for the males' data is 12
(b) The difference in the median values
From the first and second boxplots, we have:
Median male = 10
Median female = 18
The difference (d) between these values is
d = 18 - 10
d = 8
So: the difference between the median values of each data set is 8
(c) The distribution of data
This is dependent on whether the dataset has an outlier or not.
From the figure, we have:
Male's data: presence of an outlier - use median
Female's data: absence of an outlier - use mean
So: the male dataset is measured by median, while the mean is a better measure of center for the female's data
(d) Reason for outliers
A possible reason for outliers is sampling problems
Read more about boxplots at:
brainly.com/question/26392028
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