Question
Consider the following statement. More than 66% of the residents of Los Angeles earn less than the average wage for that city. Could this statement
Consider the following statement. More than 66% of the residents of Los Angeles earn less than the average wage for that city. Could this statement be correct? If so, how? If not, why not?
1.Yes, it is possible that 66% of the residents would earn less than that value. If the distribution of wages is negatively skewed then the mean will be greater than the median, which tells us that more than 50% of residents will earn less than the mean.
2.Yes, it is possible that 66% of the residents would earn less than that value. If the distribution of wages is positively skewed then the mean will be greater than the median, which tells us that more than 50% of residents will earn less than the mean.
3.No, it is not possible that 66% of the residents would earn less than that value. Since the word "average" refers to the mean, half the residents are below this number and half are above this number.
4.No, it is not possible that 66% of the residents would earn less than that value. Since the word "average" refers to the median, half the residents are below this number and half are above this number.
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