Question

Size of U.S. States The total surface area (in square miles) for each of six selected eastern states is listed here.

Answer 1

Answer:

Second set.

Step-by-step explanation:

I put the formula of standart deviation in the image below.

x is each data of the list

μ is the data average

N is the amount of elements.

So, for the first list we have:

μ= $\frac{28995+37534+31361+27087+20966+37741}{6}= \frac{183684}{6}=30614$

DE= $\sqrt{\frac{|28995-30614|^{2}+|37534-30614|^{2}+|31361-30614|^{2}+|27087-30614|^{2}+|20966-30614|^{2}+|37741-30614|^{2}}{6} }$

= $\sqrt{\frac{2621161+47886400+558009+12439729+93083904+50794129}{6} }$

= $\sqrt{\frac{207383332}{6} }$

=  $\sqrt{ 34563888.6667 }$

= 5879.1061.

For the other list of elements:

μ= $\frac{72964+70763+101510+62161+66625+54339}{6}= \frac{428362}{6}=71393.66$

DE=$\sqrt{\frac{|72964-71393.66|^{2}+|70763-71393.66|^{2}+|101510-71393.66|^{2}+|62161-71393.66|^{2}+|66625-71393.66|^{2}+|54339-71393.66|^{2}}{6} }$

= $\sqrt{\frac{2465967.71+397732.03+906993934.99+85242010.67+22740118.19+290861427.71}{6} }$

= $\sqrt{\frac{1308701191.3}{6} }$

=  $\sqrt{218116865.21 }$

= 6029.32

Then, the second set is more variable.

Answer 2

Eastern States Standard deviation = 6440.2
Western States Standard deviation = 16178

The Western States is more variable because it has a higher deviation. Also you can tell that the Western States is more variable because the the data/numbers change more than the Eastern States.