Answer:
About 95% of house sizes that lie between 955.7 and 1454.1 sq ft .
Explanation:
According to the empirical rule 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.
We have given:
Sample mean : x¯=1204.9 sq ft
Standard deviation: s=124.6 sq ft
To find the percentage of house sizes that lie between 955.7 and 1454.1 sqft.
We can write it as
955.7= 1204.9 - 249.2 = 1204.9 - 2(124.6)
and 1454.1 = 1204.9 + 249.2 = 1204.9 + 2(124.6)
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 .