Which set has the largest standard deviation? $$\begin{array} { l l l l l | l l l l l }
\text { Set 1 } &&&&& \text { Set 2 } \
\hline 7&12&15&14&19&52&60&62&61&68
\end{array}$$
A)Set 2,because set 2 has a wider range and will have a smaller SD.
B)Set 1,because set 1 has a narrower range and will have a larger SD.
C)Set 1,because the minimum and maximum in set 1 are farther from the centre.
D)Neither,because the values in set 2 are just the values in set 1 plus 45.
E)Set 2,because the minimum and maximum in set 2 are farther from the centre.

Question

Which set has the largest standard deviation? $$\begin{array} { l l l l l | l l l l l } 
\text { Set 1 }  &&&&&  \text { Set 2 }  \
\hline 7&12&15&14&19&52&60&62&61&68
\end{array}$$
A)Set 2,because set 2 has a wider range and will have a smaller SD.
B)Set 1,because set 1 has a narrower range and will have a larger SD.
C)Set 1,because the minimum and maximum in set 1 are farther from the centre.
D)Neither,because the values in set 2 are just the values in set 1 plus 45.
E)Set 2,because the minimum and maximum in set 2 are farther from the centre.

Quizplus · Accepted Answer

Set 2 has a larger standard deviation because the values are more spread out from the mean compared to Set 1. The range (difference between the maximum and minimum values) is a simple indicator of this spread, and Set 2's range is significantly larger than Set 1's, indicating a higher standard deviation.

Which Set Has the Largest Standard Deviation Set 1 Set 2 7121514195260626168\begin{array} { l l l l l | l l l l l } \text { Set 1 } &&&&& \text { Set 2 } \\\hline 7&12&15&14&19&52&60&62&61&68\end{array} Set 1 7​12​15​14​19​ Set 2 52​60​62​61​68​​

Which Set Has the Largest Standard Deviation $\begin{array} { l l l l l | l l l l l } \text { Set 1 } &&&&& \text { Set 2 } \\\hline 7&12&15&14&19&52&60&62&61&68\end{array}$