In: Statistics and Probability
Consider the two separate samples given in the data set (samplecomparison.xlsx). Answer the questions below. Data listed below.
The range of the first data set is _____ .
The variance of the first data set is ____ . (Round to three decimal places as needed)
The standard deviation of the first data set is _____ . (Round to three decimal places as needed)
The range of the second data set is _____ .
The variance of the second data set is _____ . (Round to three decimal places as needed)
The standard deviation of the second data set is _____ . (Round to three decimal places as needed)
Which data set is most spread out based on these statistics?
Now remove the largest number from each data set and repeat the calculations (samplecomparison.xlsx). Answer the questions below.
The range of the first data set is _____ .
The variance of the first data set is _____ . (Round to three decimal places as needed)
The standard deviation of the first data set is _____ . (Round to three decimal places as needed)
The range of the second data set is _____ .
The variance of the second data set is _____ . (Round to three decimal places as needed)
The standard deviation of the second data set is _____ . (Round to three decimal places as needed)
Compare the results of parts the last three parts. Which statistic seems to be the most affected by the outliers, in terms of change of whole number values?
a. The standard deviation.
b. The variance.
c. The range.
d. There is no difference between the two samples.
Sample comparison data:
Sample 1 | Sample 2 |
11 | 23 |
9 | 36 |
6 | 25 |
14 | 33 |
27 | 35 |
28 | 40 |
19 | 21 |
21 | 38 |
23 | 35 |
129 | 34 |