Below is a summary of the size of homes for sale in Regina in 2005. The Empirical Rule would suggest that the middle 68% of the home sizes are between what two approximate values?

A) 1,000 to 2,000 sq. ft.
B) 892 to 2,534 sq ft.
C) 71 to 3,355 sq ft.
D) 0 to 4,176 sq ft.

Question

Below is a summary of the size of homes for sale in Regina in 2005. The Empirical Rule would suggest that the middle 68% of the home sizes are between what two approximate values?

A) 1,000 to 2,000 sq. ft. 
B) 892 to 2,534 sq ft. 
C) 71 to 3,355 sq ft. 
D) 0 to 4,176 sq ft.

Quizplus · Accepted Answer

The Empirical Rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. In this case, the mean is approximately 1,713 sq ft and the standard deviation is approximately 410 sq ft. Therefore, the middle 68% of the home sizes would fall between approximately 1,303 sq ft (1 standard deviation below the mean) and 2,123 sq ft (1 standard deviation above the mean). The closest range of values to this is B: 892 to 2,534 sq ft.

Below Is a Summary of the Size of Homes for Sale