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:

The range of the Gentoo penguins are:

For point A:
equate both of them

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 
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.
Hello!
Step 1: Simplify both sides of the equation.<span><span><span>
1.5<span>(<span>x+4</span>)</span></span>−3</span>=<span>4.5<span>(<span>x−2</span>)</span></span></span><span><span><span><span><span><span>
(1.5)</span><span>(x)</span></span>+<span><span>(1.5)</span><span>(4)</span></span></span>+</span>−3</span>=<span><span><span>(4.5)</span><span>(x)</span></span>+<span><span>(4.5)</span><span>(<span>−2</span>)</span></span></span></span>(Distribute)<span><span><span><span><span>
1.5x</span>+6</span>+</span>−3</span>=<span><span><span>4.5x</span>+</span>−9</span></span><span><span><span>
(<span>1.5x</span>)</span>+<span>(<span>6+<span>−3</span></span>)</span></span>=<span><span>4.5x</span>−9</span></span>(Combine Like Terms)<span><span><span>
1.5x</span>+3</span>=<span><span>4.5x</span>−9</span></span><span><span><span>
</span></span></span>Step 2: Subtract 4.5x from both sides.<span><span><span><span>
1.5x</span>+3</span>−<span>4.5x</span></span>=<span><span><span>4.5x</span>−9</span>−<span>4.5x</span></span></span><span><span><span>
−<span>3x</span></span>+3</span>=<span>−9</span></span>
Step 3: Subtract 3 from both sides.<span><span><span><span>
−<span>3x</span></span>+3</span>−3</span>=<span><span>−9</span>−3</span></span><span><span>
−<span>3x</span></span>=<span>−12</span></span>
Step 4: Divide both sides by -3.<span><span><span>
−<span>3x</span></span><span>−3</span></span>=<span><span>−12</span><span>−3</span></span></span><span>
x=<span>4
Hope this helps! Cheerio, and have a lovely day!</span></span>
I'm assuming there is probably a graph that goes with this problem so here is all the info I can give you with the four choices:
If it is -1/3, the line will go DOWN 1, over 3 (just count on the graph)
If it is 3, the line will go UP 3, over 1
If it is 1/3, the line will go UP 1, over 3
And if it it -3, it will go DOWN 3, over 1
(If the slope is 3 or -3, it would be quite steep compared to a slope of 1/3 or -1/3)
Hope that helps!