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Question
the distribution of the salaries at a small business is strongly skewed with many people making very modest salaries and a few making very large salaries. which measure of center, mean or median, is a better indication of a \typical\ salary at this business? the mean is better because it is not affected by the high salaries. the median is better because it is not affected by the high salaries. it cannot be determined without knowing the actual salaries. either one would be a good measure of a typical salary because they are the same value.
The mean is calculated as the sum of all values divided by the number of values, and is affected by extreme values (the high - salaries in this case). The median is the middle value when the data is ordered, and is not influenced by extreme values. In a strongly skewed distribution like this one, the median gives a better indication of a "typical" value.
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The median is better because it is not affected by the high salaries.