Respuesta :
The value of the numerator of the calculation of the variance is 258, the correct option is D.
Given
The test scores of a geometry class are given below. 90, 75, 72, 88, 85.
What is a variance?
Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.
The mean of the test scores of a geometry class is;
[tex]\rm Mean = \dfrac{90+75+72+88+85}{5}\\\\ Mean =\dfrac{ 410}{5}\\\\Mean =82[/tex]
The variance is given by;
[tex]\rm Variance =\dfrac{(90 - 82)^2 + (75 - 82)^2 + (72 - 82)^2 + (88 - 82)^2 + (85 - 82)^2}{5}\\\\Variance = \dfrac{8^2+7^2+(-10)^2+6^2+3^2}{5}\\\\Variance=\dfrac{64+49+100+36+9}{5}\\\\Variance = \dfrac{258}{5}[/tex]
Hence, the value of the numerator of the calculation of the variance is 258.
To know more about variance click the link given below.
https://brainly.com/question/7635845
