Which of the data sets is most spread out?

\begin{tabular}{|c|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 A
C. Data set D
D. Data set B



Answer :

To determine which data set is most spread out, we need to compare their standard deviations. The standard deviation is a measure of the dispersion or spread of a set of values. The larger the standard deviation, the more spread out the data set is.

Given the standard deviations:

- 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: 6.06
2. Data set B: 4.88
3. Data set C: 5.21
4. Data set D: 3.39

From these values, we can see:

- The standard deviation of Data set A (6.06) is greater than Data set B (4.88), Data set C (5.21), and Data set D (3.39).

Thus, the data set with the highest standard deviation is:

Data set A: 6.06

This indicates that Data set A is the most spread out among the four data sets.

Therefore, the correct answer is:

B. Data set A