On comparing the standard deviation values, the data set A is the most spread out.
A standard deviation is a measure of how dispersed the data is in relation to the mean. High standard deviation indicates data are more spread out and low standard deviation means data are clustered around the mean.
For the given situation,
The table shows the data set and their standard deviation values.
For data set A, the standard deviation is 6.06
For data set B, the standard deviation is 4.88
For data set C, the standard deviation is 5.21
For data set D, the standard deviation is 3.39
From the values, it is clearly seen the data set A has large standard deviation.
Hence we can conclude that the data set A is the most spread out.
Learn more about the standard deviation here
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