Which set has the largest standard deviation? $$\begin{array} { c c c c c | c c c c c }
\text { Set } 1 &&&&& \text { Set } 2 \
\hline 3 & 7 & 7 & 7 & 10 & 3 & 6 & 7 & 8 & 10
\end{array}$$
A)Neither,because set 1 and set 2 have the same standard deviation.
B)Set 1,because 7 and 7 in set 1 are farther from 7 than 6 and 8 in set 2.
C)Set 1,because 6 and 8 in set 1 are farther from 7 than 7 and 7 in set 2.
D)Set 2,because 6 and 8 in set 2 are farther from 7 than 7 and 7 in set 1.
E)Set 2,because 7 and 7 in set 2 are farther from 7 than 6 and 8 in set 1.

Question

Which set has the largest standard deviation? $$\begin{array} { c c c c c | c c c c c } 
\text { Set } 1 &&&&& \text { Set } 2  \
\hline 3 & 7 & 7 & 7 & 10 & 3 & 6 & 7 & 8 & 10
\end{array}$$
A)Neither,because set 1 and set 2 have the same standard deviation.
B)Set 1,because 7 and 7 in set 1 are farther from 7 than 6 and 8 in set 2.
C)Set 1,because 6 and 8 in set 1 are farther from 7 than 7 and 7 in set 2.
D)Set 2,because 6 and 8 in set 2 are farther from 7 than 7 and 7 in set 1.
E)Set 2,because 7 and 7 in set 2 are farther from 7 than 6 and 8 in set 1.

Quizplus · Accepted Answer

Standard deviation measures the dispersion of a dataset relative to its mean. Set 2 has a wider spread of values (3, 6, 7, 8, 10) compared to Set 1 (3, 7, 7, 7, 10), making its standard deviation larger.

Which Set Has the Largest Standard Deviation Set 1 Set 2377710367810\begin{array} { c c c c c | c c c c c } \text { Set } 1 &&&&& \text { Set } 2 \\\hline 3 & 7 & 7 & 7 & 10 & 3 & 6 & 7 & 8 & 10\end{array} Set 13​7​7​7​10​ Set 23​6​7​8​10​​

Which Set Has the Largest Standard Deviation $\begin{array} { c c c c c | c c c c c } \text { Set } 1 &&&&& \text { Set } 2 \\\hline 3 & 7 & 7 & 7 & 10 & 3 & 6 & 7 & 8 & 10\end{array}$