Summarizing Distributions
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7 Terms
1
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What does adding a constant to each value of the data set do to the parts of a distribution?
It increases the mean and median by that constant.
The measures of spread stays the same
The measures of spread stays the same
2
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What does multiplying or dividing a constant to each value of a data set do to the parts of a distribution?
It changes the mean/median by that constant.
The measures of spread also change.
The measures of spread also change.
3
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Which parts of a distribution are sensitive to outliers.
The mean and measures of spread are sensitive.
The median and IQR (not range, IQR) are not.
The median and IQR (not range, IQR) are not.
4
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Which measures of center do you use with different distributions?
Use mean on normal distributions
Use medians on skewed distributions
Use medians on skewed distributions
5
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How do you determine outliers?
1\.5 *IQR + Q3, Q1 - 1.5* IQR
Anything greater than 2 standard distributions
Anything greater than 2 standard distributions
6
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How do you compare two distributions
By comparing their center, shape, outliers, and variability using comparative language
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7
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Can two distributions have the same box plot but different shapes?
Yes