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Compare and interpret the measures to select the data with the least variation. Dataset Mean Standard Deviation A 21 1.9 B 29 1.41 C 25 1.2 D 48 1.14 (1 point) Responses Dataset A has a standard deviation of 1.9 and a mean of 21. Dataset A has a standard deviation of 1.9 and a mean of 21. Dataset D has a standard deviation of 1.14 and a mean of 48. Dataset D has a standard deviation of 1.14 and a mean of 48. Dataset C has a standard deviation of 1.2 and a mean of 25. Dataset C has a standard deviation of 1.2 and a mean of 25. Dataset B has a standard deviation of 1.41 and a mean of 29.

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To determine which dataset has the least variation, we can look at the standard deviation of each dataset. The standard deviation is a measure of the amount of variation or dispersion in a set of values. A lower standard deviation indicates less variation among the data points.

Here are the datasets with their means and standard deviations:

  • Dataset A: Mean = 21, Standard Deviation = 1.9
  • Dataset B: Mean = 29, Standard Deviation = 1.41
  • Dataset C: Mean = 25, Standard Deviation = 1.2
  • Dataset D: Mean = 48, Standard Deviation = 1.14

Comparison of Standard Deviations:

  • Dataset A: 1.9
  • Dataset B: 1.41
  • Dataset C: 1.2
  • Dataset D: 1.14

Interpretation:

  • Dataset D has the lowest standard deviation (1.14), indicating that it has the least variation among its data points.
  • Dataset C follows with a standard deviation of 1.2, which is also low.
  • Dataset B has a standard deviation of 1.41, indicating a bit more variation.
  • Dataset A has the highest standard deviation at 1.9, showing it has the most variation among the datasets.

Conclusion:

Dataset D has the least variation as indicated by its standard deviation of 1.14.