The mean income of all MBA degree holders working in Los Angeles is $86,000 per year and the standard deviation of their incomes is $10,500 per year.According to Chebyshev's theorem,the percentage of MBA degree holders,working in Los Angeles,with an annual income of $49,250 to $122,750 is at least::
A)91.84
B)86.39
C)87.34
D)93.84

Question

Quizplus · Accepted Answer

Chebyshev's theorem states that at least (1 - 1/k^2) of the data falls within k standard deviations of the mean. Here, k = (122,750 - 86,000) / 10,500 = 3.5. So, at least (1 - 1/3.5^2) = 91.84% of incomes fall within this range.

The Mean Income of All MBA Degree Holders Working in Los