Which set has the largest standard deviation? $7121514195260626168\begin{array} { l l l l l | l l l l l } \text { Set 1 } &&&&& \text { Set 2 } \\\hline 7&12&15&14&19&52&60&62&61&68\end{array}$

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?

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}

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.

Shyam Datta · Accepted Answer

Final Answer : E, Explanation :  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.

Definitions

Learning Objectives

Learning Objectives

Related questions