To determine which dataset has the least variation, you should focus on the standard deviation. The standard deviation measures how spread out the values in a dataset are; a lower standard deviation indicates that the data points are closer to the mean, suggesting less variation.
Here's a summary of the standard deviations for each dataset:
- Dataset A: Standard Deviation = 1.9
- Dataset B: Standard Deviation = 1.41
- Dataset C: Standard Deviation = 1.2
- Dataset D: Standard Deviation = 1.14
From this information, we can see that Dataset D has the lowest standard deviation (1.14), indicating it has the least variation among the datasets.
Interpretation:
- Dataset D exhibits the least variation in its values, as indicated by its lower standard deviation compared to the other datasets. Despite having the highest mean (48), the data points in Dataset D are more closely clustered around the mean than those in Datasets A, B, and C.
Thus, based on the standard deviations given, Dataset D is the one with the least variation.