Asked by Lacey Johnson on Jun 17, 2024
Verified
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 712151419 Set 2 5260626168
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.
Standard Deviation
Standard deviation is a measure of the amount of variation or dispersion in a set of values, showing how much the values in a dataset differ from the mean.
- Delineate differences between measures of centering (mean, median) against measures of distribution breadth (range, interquartile range, standard deviation), opting for the most fitting measure for a certain dataset.
Verified Answer
SD
Shyam DattaJun 19, 2024
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.
Learning Objectives
- Delineate differences between measures of centering (mean, median) against measures of distribution breadth (range, interquartile range, standard deviation), opting for the most fitting measure for a certain dataset.
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