Respuesta :
Answer:
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Step-by-step explanation:
The gender that shows greater variability in their playing time is females (teen girls).
How can we measure variability in a box-plot?
It may depend on conditions. The dispersion can be measured in many ways. We can find range (max value - min. value), or interquartile range(the absolute difference between the first and third quartile ), etc to measure the variability.
How does a boxplot shows the data points?
A box plot has 5 data description.
- The leftmost whisker shows the minimum value in the data.
- The rightmost whisker shows the maximum value in the data.
- The leftmost line in the box shows the first quartile.
- The middle line shows the median, also called second quartile.
- The last line of the box shows the third quartile.
How to find the interquartile range?
IQR(inter quartile range) is the dfference between third and first quartile.
We will use the interquartile range here to find the variability in the playing time taken by different genders.
From the box plots given, we get the data of first and third quartiles from the left and right limits of boxes.
For males (teen boys):
- First quartile: left limit of box = 9
- Third quartile: right limit of box = 17
IQR is 17-9 = 8
For females (teen girls):
- First quartile: left limit of box = 3
- Third quartile: right limit of box =15
IQR is 15-3 = 12
Thus, there is greater variability in playing time of teen girls (females).
Thus, the gender that shows greater variability in their playing time is females (teen girls).
Learn more about box-plot here:
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