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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 their standard deviations. The standard deviation is a measure of how spread out the values in a distribution are.

Looking at the given table:

- Distribution 1 has a standard deviation of 0.2.
- Distribution 2 has a standard deviation of 0.8.
- Distribution 3 has a standard deviation of 1.2.
- Distribution 4 has a standard deviation of 3.2.

Since the greatest standard deviation is 3.2, we can conclude that Distribution 4 has the greatest spread.

Correct answer:
Distribution 4 has the greatest spread.