Compare and interpret the measures to select the data with the least variation.

Question

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


(1 point)
Responses

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.
Dataset B has a standard deviation of 1.41 and a mean of 29.

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.

Answer 1

To determine which dataset has the least variation, we can look at the standard deviation values. The smaller the standard deviation, the less variation the dataset has from the mean.

Here are the standard deviation values for each dataset:

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

From these values, Dataset D has the smallest standard deviation (1.14), indicating it has the least variation.

Now, let's summarize the findings:

• Dataset A has a standard deviation of 1.9 (high variation).
• Dataset B has a standard deviation of 1.41 (moderate variation).
• Dataset C has a standard deviation of 1.2 (lower variation than A and B, but still more than D).
• Dataset D has a standard deviation of 1.14 (least variation).

In conclusion, the dataset with the least variation is Dataset D, with a standard deviation of 1.14 and a mean of 48.