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Question
renata analyzed two dot - plots showing the snowfall during the winter months for city a and for city b. she found that the median snowfall is 5 inches less in city a than in city b, and the mean snowfall is about 2 inches less in city a than in city b. which explains why there is a difference in the measures of center for the sets of data? one set of data has more variation than the other. there are no outliers in either set. in each set, the distribution is clustered around one value. the modes must be the same for each set.
Measures of center like mean and median can differ due to data - set variation. Variation affects how data is distributed around central values. Outliers can also impact these measures. If one data - set has more spread or different distribution shape, measures of center will vary.
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One set of data has more variation than the other.