To determine which dataset has the least variation, we can refer to the standard deviation, which is a measure of how much the values in a dataset deviate from the mean. A lower standard deviation indicates that the data points are closer to the mean, thereby indicating less variation.
Here are 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
Now, we can compare the standard deviations:
- Dataset A: 1.9
- Dataset B: 1.41
- Dataset C: 1.2
- Dataset D: 1.14
Among these, Dataset D has the lowest standard deviation (1.14), which means it has the least variation.
Interpretation:
- Dataset A has the highest variability (standard deviation = 1.9), meaning the values are spread out more.
- Dataset B has moderate variability (1.41).
- Dataset C has slightly lower variability than B (1.2).
- Dataset D has the least variability (1.14), indicating that its values are the most tightly clustered around the mean.
In summary, Dataset D is the dataset with the least variation, as indicated by its standard deviation of 1.14.