The Current Population Survey conducted by the Census Bureau records the incomes of a large sample of U.S. households each month. What will be the relationship between the mean and median of the collected data?The mean will be bigger than the median.The mean will be smaller than the median.The mean and the median will be about the same.
Question
The Current Population Survey conducted by the Census Bureau records the incomes of a large sample of U.S. households each month. What will be the relationship between the mean and median of the collected data?The mean will be bigger than the median.The mean will be smaller than the median.The mean and the median will be about the same.
Solution
The relationship between the mean and median of the collected data can vary depending on the distribution of incomes in the sample. However, in general, if the distribution is symmetric and does not have any extreme outliers, the mean and median will be about the same. This means that the average income (mean) will be similar to the income that divides the sample into two equal halves (median). However, if the distribution is skewed or has extreme outliers, the mean can be significantly affected. In such cases, the mean may be bigger or smaller than the median, depending on the specific characteristics of the data.
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