The annual incomes of a group of 10 individuals are as follows: $45,000 , $50,000 , $52,000 , $48,000 , $46,500 , $55,000 , $53,500 , $182,500 , $47,000 , $51,000 The mean income for this group is $63,050 , while the median income is $50,500 Based on the comparison of the mean and median incomes, which statement best describes the income distribution in the context of this scenario?
Answer
A
There is an individual or a few individuals earning significantly less than the others, causing the mean to be lower than the median.
B
There is an individual or a few individuals earning substantially more than the others, causing the mean to be higher than the median.
C
Most of the individuals have incomes close to the mean of 63 dollars comma 050.
D
The incomes are uniformly distributed, with each individual earning around the same amount.
Explanation
The mean ($63,050) is much higher than the median ($50,500), which suggests that unusually high incomes are pulling the mean upward. In this group, the $182,500 income is far above the others and has that effect. So the best description is that one or a few individuals earn substantially more than the rest.
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