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The standard deviations of four data sets are shown in the table below. Which of the data sets is the most spread out?

\begin{tabular}{|l|c|}
\hline Data set & Standard deviation \\
\hline Data set A & 6.06 \\
\hline Data set B & 4.88 \\
\hline Data set C & 5.21 \\
\hline Data set D & 3.39 \\
\hline
\end{tabular}

A. Data set C
B. Data set B
C. Data set A
D. Data set D

Sagot :

To determine which data set is the most spread out, we need to compare the standard deviations of each data set. The higher the standard deviation, the more spread out the data set is. Here are the standard deviations provided:

- Data set A: 6.06
- Data set B: 4.88
- Data set C: 5.21
- Data set D: 3.39

Let's compare these values:

1. Data set A has a standard deviation of 6.06.
2. Data set B has a standard deviation of 4.88.
3. Data set C has a standard deviation of 5.21.
4. Data set D has a standard deviation of 3.39.

Among these values, the highest standard deviation is 6.06. Therefore, the data set with the highest standard deviation is Data set A.

Thus, the data set that is the most spread out is:
C. Data set A