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

Sagot :

GinnyAnsweridn
To determine which data set is the most spread out, we need to compare the standard deviations of the four data sets. The standard deviation is a measure of how spread out the numbers in a data set are around the mean. A higher standard deviation indicates a greater spread of the data points.

Let's list the standard deviations for each data set:

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

By comparing these values, we observe the following:

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

Among these values, the largest standard deviation is 6.06. Therefore, Data set C has the highest standard deviation.

In conclusion, Data set C is the most spread out since it has the highest standard deviation of 6.06.
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