compare the shape of the box plot please
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Option: B is the correct answer.
B. The Wolverines' distribution is negatively skewed but the Panthers' distribution is symmetric.
From the box plot:
If the median is closer to upper quartile as compared to lower quartuile.
If the median is closer to lower quartile as compared to upper quartile.
If the median is at equal distance from both upper and lower quartiles.
Based on the figure that is provided to us we observe that:
In case of data Wolverines the median is closer to upper quartile as compared to lower quartile.
Since,
Lower quartile is at: 55
Median is at: 80
and Upper quartile is at: 85
Distance between lower quartile and median is: 80-55=25
and distance between the median and upper quartile is: 85-80=5
Hence, the data is negative skewed.
While in case of data Panthers the median is at equal distance from both the quartiles.
Since, lower quartile is at: 50
Median is at: 70
and Upper quartile is at: 90
Hence, distance of median and lower quartile is: 70-50=20
and distance between the median and upper quartile is: 90-70=20