SOLUTION: A data distribution has a mean of 100 and a standard deviation of 10. Assume that the shape of the distribution is unknown.
The proportion of the data that falls between 80 and
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-> SOLUTION: A data distribution has a mean of 100 and a standard deviation of 10. Assume that the shape of the distribution is unknown.
The proportion of the data that falls between 80 and
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Question 831516: A data distribution has a mean of 100 and a standard deviation of 10. Assume that the shape of the distribution is unknown.
The proportion of the data that falls between 80 and 120 is at least ___ percent. (Give your answer as a whole number.)
I put 95 and it said it was wrong, I'm at a loss. Answer by reviewermath(1029) (Show Source):
You can put this solution on YOUR website! Q:
A data distribution has a mean of 100 and a standard deviation of 10. Assume that the shape of the distribution is unknown.
The proportion of the data that falls between 80 and 120 is at least ___ percent. (Give your answer as a whole number.)
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A:
80 = 2 standard deviations below the mean
100 = 2 standard deviations above the mean
The proportion is 95% if the shape of the distribution is Normal.
Since we don't know the shape of distribution, we use Chebyshev Inequality to get the lower bound for proportion.
Using Chebyshev Inequality, the proportion is at least = percent
