Answer:
The answer is "Option A"
Step-by-step explanation:
Using the range difference to calculate the maximum and minimum value.
The range of the chinstrap penguins are:
[tex]R(c) = Max(c) - Min(c) = 13.2[/tex]
The range of the Gentoo penguins are:
[tex]R(g) = Max(g) - Min(g) = 15.4[/tex]
For point A:
[tex]Max(c) = x\\\\Max(g) = x + 5.8\\\\R(c) = x - Min(c) = 13.2 \to x = 13.2 + Min(c)\\\\R(g) = x + 5.8 - Min(g) = 15.4 \to x = 9.6 + Min(g)[/tex]
equate both of them
[tex]13.2 + Min(c) = 9.6 + Min(g)Min(g) - Min(c) = 3.6[/tex]
It indicates that Min(c) surpasses Min(g), whereas Max(g) exceeds Max (c).
Therefore, the Max is picked for g for all penguins and the minimum is picked for c.
Range of all penguins [tex]= Max(g) - Min(c) = x + 5.8 - x + 13.2 = 19[/tex]
Therefore, it will be determined as the option.
For point B:
In estimating the range the median height cannot help.
For point C:
In order to calculate the variety, the connection between both the mean height cannot be sued.
