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The heights of the adults in one town have a mean of 67.5 inches and a...

The heights of the adults in one town have a mean of 67.5 inches and a standard deviation of 3.4 inches. What can you conclude from Chebyshev's theorem about the percentage of adults in the town whose heights are between 60.7 and 74.3 inches? The percentage is at least ____%. Round to a whole number if needed?

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Answer #1

When we don't the distribution of the sample or population we use Chebyshev's theorem to find the probability or percentage between the given values.

According to Chebyshev's theorem, the percentage between K standard deviation is calculated as:

So, we need to find the K value for heights between 60.7 and 74.3 inches as:

Since the value of K is calculated as 2 hence the percentage is calculated as:

So, the percentage of 75% adults in the town whose heights are between 60.7 and 74.3 inches.

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