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Use the table to answer the question.

Dataset Mean Standard Deviation
1 78 1.23
2 87 1.42
3 83 1.19
Which data set has the LEAST variability

1 answer

To determine which dataset has the least variability, we can compare the standard deviations 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 that the values tend to be closer to the mean, thus showing less variability.

Here are the standard deviations for each dataset:

  • Dataset 1: Standard Deviation = 1.23
  • Dataset 2: Standard Deviation = 1.42
  • Dataset 3: Standard Deviation = 1.19

Comparing these:

  • Dataset 1: 1.23
  • Dataset 2: 1.42
  • Dataset 3: 1.19

The dataset with the least variability is Dataset 3, with a standard deviation of 1.19.