Question

practice midterm exam
score: 7.5/17 answered: 10/17
× question 10
score on last try: 0 of 1 pts. see details for more.

next question get a similar question you can retry this question below

which of the below data sets has the lowest standard deviation? you do not need to calculate the exact
standard deviations to answer this question.
0, 1, 2, 3, 4, 5, 6
0, 1, 3, 3, 3, 5, 6
0, 25, 50, 100, 125, 150, 1000
0, 0, 0, 100, 100, 200, 200, 200
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Explanation:

Step1: Recall the concept of standard deviation

Standard deviation measures the spread of data. A lower spread means lower standard deviation.

Step2: Analyze each data - set

• For the data - set \(0,1,2,3,4,5,6\), the data is evenly spaced with a relatively large spread.
• For the data - set \(0,1,3,3,3,5,6\), there are more repeated values (\(3\) is repeated three times). This reduces the spread compared to the first data - set.
• For the data - set \(0,25,50,100,125,150,1000\), there is a very large outlier (\(1000\)) which increases the spread significantly.
• For the data - set \(0,0,0,100,200,200,200\), there are two distinct groups (\(0\)'s and \(200\)'s with \(100\) in between), which also has a relatively large spread.

Answer:

\(0,1,3,3,3,5,6\)