The 2011 gross sales of all firms in a large city have a mean $2.5 million and a standard deviation of $0.6 million. Using chebyshev theorem, find at least what percentage of firm city 2011 gross sales of $1.3 to $3.7 million

Question

Mathematics

Pretty Lady

27 September, 08:50

The 2011 gross sales of all firms in a large city have a mean $2.5 million and a standard deviation of $0.6 million. Using chebyshev theorem, find at least what percentage of firm city 2011 gross sales of $1.3 to $3.7 million

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Answers (1)

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Janelle · Answer 1

The mean : 2.5 million

S D = 0.6 million

2.5 - 2 · 0.6 = 2.5 - 1.2 = 1.3 million

2.5 + 2 · 0.6 = 2.5 + 1.2 = 3.7 million

Chebyshev theorem : at least 3/4 of the data lie within 2 standard deviations of the mean.

Answer:

At least 75 % of all firms.