Math  /  Data & Statistics

QuestionA contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood. They are: 2,400;1,750;1,900;2,500;2,250;2,1002,400 ; 1,750 ; 1,900 ; 2,500 ; 2,250 ; 2,100
Which of the following represents the numerator in the calculation of variance and standard deviation? (225)2+(425)2+(275)2+(325)2+(75)2+(75)2=423,750(225)^{2}+(-425)^{2}+(-275)^{2}+(325)^{2}+(75)^{2}+(-75)^{2}=423,750 (650)2+(150)2+(600)2+(250)2+(150)2+(300)2=980,000(650)^{2}+(-150)^{2}+(-600)^{2}+(250)^{2}+(150)^{2}+(-300)^{2}=980,000 (250)2+(400)2+(250)2+(350)2+(100)2+(50)2=420,000(250)^{2}+(-400)^{2}+(-250)^{2}+(350)^{2}+(100)^{2}+(-50)^{2}=420,000 DONE

Studdy Solution
Sum the squared deviations:
62,500+160,000+62,500+122,500+10,000+2,500=420,000 62,500 + 160,000 + 62,500 + 122,500 + 10,000 + 2,500 = 420,000
The numerator in the calculation of variance and standard deviation is:
420,000 \boxed{420,000}

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