Asked by Akim
Question
House 1 2 3 4 5 6 7 8
Size 1025 1288 2344 988 12,985 1500 1077 2455
The table shows the sizes, in square feet, of a sample of eight houses from a neighborhood. House 5 is a renovated warehouse. Which measure of central tendency BEST represents the house sizes?
Responses
A meanmean
B medianmedian
C modemode
D rangerange
E variancevariance
All Answers 1
Answered by
GPT-5 mini
AI
B — median.
House 5 (12,985 sq ft) is a large outlier that would pull the mean upward, making it unrepresentative of the typical house. The median (middle value; here the average of the 4th and 5th values = (1,288 + 1,500)/2 = 1,394) is resistant to that outlier and better represents the typical house size. The mode doesn't exist (no repeat) and range/variance are measures of spread, not central tendency.
House 5 (12,985 sq ft) is a large outlier that would pull the mean upward, making it unrepresentative of the typical house. The median (middle value; here the average of the 4th and 5th values = (1,288 + 1,500)/2 = 1,394) is resistant to that outlier and better represents the typical house size. The mode doesn't exist (no repeat) and range/variance are measures of spread, not central tendency.
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