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The table gives the mean and standard deviation of four data distributions.

\begin{tabular}{|l|r|r|}
\hline & Mean & Standard Deviation \\
\hline Distribution 1 & 22 & 0.2 \\
\hline Distribution 2 & 21 & 0.8 \\
\hline Distribution 3 & 19 & 1.2 \\
\hline Distribution 4 & 20 & 3.2 \\
\hline
\end{tabular}

Distribution [tex]$\square$[/tex] has the greatest spread.



Answer :

GinnyAnswer
To find which distribution has the greatest spread, we need to compare the standard deviations of each distribution. The distribution with the highest standard deviation will have the greatest spread.

Here are the standard deviations for the distributions:

- Distribution 1: 0.2
- Distribution 2: 0.8
- Distribution 3: 1.2
- Distribution 4: 3.2

Clearly, Distribution 4 has the highest standard deviation of 3.2, which means it has the greatest spread.

Therefore, Distribution 4 has the greatest spread.

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