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

question 140

Multiple Choice

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.

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Definitions:

Confidence Interval

An assortment of values, coming from statistical review of samples, aiming to envelop the value of an unspecified population parameter.

Margin Of Error

An expression of the amount of random sampling error in a survey's results, which indicates the range within which the true value lies with a certain degree of confidence.

Sample Standard Deviations

A measure of variability or dispersion within a sample dataset, estimating how much individual measurements in the sample differ from the sample mean.

Equal Sample Sizes

A condition in experimental design or analysis where all groups or conditions have the same number of observations.