The boxplots 1 and 2 represent the distribution of data using a five number summary for the male and the female attendance
<h3>(a) The IQR of the male's data</h3>
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
<h3>(b) The difference in the median values</h3>
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
<h3>(c) The distribution of data</h3>
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
<h3>(d) Reason for outliers</h3>
A possible reason for outliers is sampling problems
Read more about boxplots at:
brainly.com/question/26392028
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