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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 determine which distribution has the greatest spread, we need to compare the standard deviations of the four distributions. The standard deviation is a measure of the amount of variation or dispersion in a set of values.

Here are the standard deviations for the four distributions:
- Distribution 1: 0.2
- Distribution 2: 0.8
- Distribution 3: 1.2
- Distribution 4: 3.2

The greatest spread will be in the distribution with the highest standard deviation. Comparing the values:
- 0.2 (Distribution 1)
- 0.8 (Distribution 2)
- 1.2 (Distribution 3)
- 3.2 (Distribution 4)

It is clear that the highest standard deviation is 3.2, which corresponds to Distribution 4.

Therefore, Distribution 4 has the greatest spread.

So, the answer is:
Distribution [tex]\(\boxed{4}\)[/tex] has the greatest spread.

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