Question

Assume the average selling price for houses in a certain county is $$\$ 325,000$$ with a standard deviation of $$\$ 40,000$$. a. Determine the coefficient of variation. b. Calculate the $z$ -score for a house that sells for $$\$ 310,000 .$$ c. Using the empirical rule, determine the range of prices that includes $95 \%$ of the homes around the mean. d. Using Chebyshev's Theorem, determine the range of prices that includes at least $94 \%$ of the homes around the mean.

          Assume the average selling price for houses in a certain county is $$\$ 325,000$$ with a standard deviation of $$\$ 40,000$$.
a. Determine the coefficient of variation.
b. Calculate the $z$ -score for a house that sells for $$\$ 310,000 .$$
c. Using the empirical rule, determine the range of prices that includes $95 \%$ of the homes around the mean.
d. Using Chebyshev's Theorem, determine the range of prices that includes at least $94 \%$ of the homes around the mean.

Added by Brandon E.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Kari Hasz

09/23/2022

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Step 1: Calculate the coefficient of variation. Show more…

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Assume the average selling price for houses in a certain county is $$\$ 325,000$$ with a standard deviation of $$\$ 40,000$$. a. Determine the coefficient of variation. b. Calculate the $z$ -score for a house that sells for $$\$ 310,000 .$$ c. Using the empirical rule, determine the range of prices that includes $95 \%$ of the homes around the mean. d. Using Chebyshev's Theorem, determine the range of prices that includes at least $94 \%$ of the homes around the mean.