The boxplots 1 and 2 represent the distribution of data using a five number summary for the male and the female attendance
(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:
https://brainly.com/question/26392028
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