Arandom sample of house sizes in major city has a sample mean of x¯=1204.9 sq ft and sample standard deviation of s=124.6 sq ft. use the empirical rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft

95%

Step-by-step explanation:

The Empirical rule says that about 68% of the data is within one standard deviation of the mean; about 95% of the data is within two standard deviations of the mean ; about 99.7% of the data is within three standard deviations of the mean.

Given : Sample mean :

Standard deviation:

To find the percentage of house sizes that lie between 955.7 and 1454.1 sq ft.

We can write it as

and

Thus, 955.7 is 2 standard deviations left from the means and 1454.1 is 2 deviations right from the mean.

Then by empirical rule , about 95% of house sizes that lie between 955.7 and 1454.1 sq ft .

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.