Question

Compare the shape of the box plot please

Answer 1

C. Both distributions are symmetric

Answer 2

Answer:

Option: B is the correct answer.

B.  The Wolverines' distribution is negatively skewed but the Panthers' distribution is symmetric.

Step-by-step explanation:

From the box plot:

• The data is negative skew--

If the median is closer to upper quartile as compared to lower quartuile.

• Positive skew-

If the median is closer to lower quartile as compared to upper quartile.

• Symmetric--

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