the dateset is 1,2,3 the mean is 78,81,83 the standard deviation is 1.23,1.42,1.19 which datasets has the highest variability

Answer 1

To determine which dataset has the highest variability, we can compare the standard deviations of each dataset. The standard deviation measures the amount of variation or dispersion of a set of values. A higher standard deviation indicates greater 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

Since Dataset 2 has the highest standard deviation (1.42), it has the highest variability among the three datasets.