Answered

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 & 5.21 \\
\hline Data set B & 4.88 \\
\hline Data set C & 3.39 \\
\hline Data set D & 6.06 \\
\hline
\end{tabular}

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



Answer :

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

Here are the standard deviations for the data sets:
- Data set A: 5.21
- Data set B: 4.88
- Data set C: 3.39
- Data set D: 6.06

We need to find the data set with the maximum standard deviation. Comparing these values, we can see:

- 5.21 < 6.06
- 4.88 < 6.06
- 3.39 < 6.06

From these comparisons, it is clear that 6.06, which is the standard deviation of Data set D, is the largest. Therefore, Data set D is the most spread out.

The correct answer is:
D. Data set D

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