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krok68 [10]
3 years ago
11

Compare the shape of the box plot please

Mathematics
2 answers:
Ronch [10]3 years ago
7 0
C. Both distributions are symmetric
klasskru [66]3 years ago
3 0
<h2>Answer:</h2>

Option: B is the correct answer.

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

<h2>Step-by-step explanation:</h2>

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 <u>Wolverines</u> 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<u> Panthers</u> 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

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