SOLUTION: Could someone please explain this question to me. Household income does not tend to follow a normal distribution in a particular state, yet average income is approximately $45,00

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Question 617215: Could someone please explain this question to me.
Household income does not tend to follow a normal distribution in a particular state, yet average income is approximately $45,000/year in this state, with a standard deviation of about $9000. Within what income range would approximately 89% of the household incomes lie within this state? Show all work as to how this is obtained.


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Could someone please explain this question to me.
Household income does not tend to follow a normal distribution in a particular state, yet average income is approximately $45,000/year in this state, with a standard deviation of about $9000. Within what income range would approximately 89% of the household incomes lie within this state? Show all work as to how this is obtained.
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Chebyshev's approximation says that at least 89% of the population
will lie within 2 standard deviations of the mean.
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Lower limit: 4500-2*9000 = $27000
Upper limit: 4500+2*9000 = $63000
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cheers,
Stan H.