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.
