Question

PLS HELP QUICKLY !!!!!!

A 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; 2,100

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
(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

Answer 1

Explanation:

Edge 2022

Answer 2

Answer: Choice C)

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mean = xbar = (2400+1750+1900+2500+2250+2100)/6
mean = 2150

Subtract the data values from the mean to get

2400-2150 = 250
1750-2150 = -400
1900-2150 = -250
2500-2150 = 350
2250-2150 = 100
2100-2150 = -50
The differences are: 250, -400, -250, 350, 100, -50

Then you square those values and add up the squares

(250)^2 + (-400)^2 + (-250)^2 + (350)^2 + (100)^2 + (-50)^2 = 420,000