The test scores of a geometry class are given. 90 , 75 , 72 , 88 , 85 The teacher wants to find the variance for the class population. What is the value of the numerator of the calculation of the variance? Variance: σ^2=((x_1−μ)^2+(x_2−μ)^2+...+(x_N−μ)^2)/(N)

First find the class mean: (90 + 75 + 72 + 88 + 85) ÷ 5 = 82. The numerator is the sum of the squared differences from the mean: 8² + (−7)² + (−10)² + 6² + 3² = 64 + 49 + 100 + 36 + 9 = 258. So the numerator is 258, choice C.

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