Standard Deviation Quick Check

Question

3 of 53 of 5 Items

Question
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 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 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 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.

Answer 1

To determine which dataset has the least variation, we will interpret the standard deviations provided alongside their means. A lower standard deviation indicates less variation in the dataset.

Here are the datasets and their 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

Now, we compare the standard deviations:

• Dataset A: 1.9 (highest variation)
• Dataset B: 1.41
• Dataset C: 1.2
• Dataset D: 1.14 (lowest variation)

Therefore, Dataset D has the least variation with a standard deviation of 1.14.

Correct Response: Dataset D has a standard deviation of 1.14 and a mean of 48.