The test scors of the nine students in mr's miller's history class are shown below 68,69,70,71,71,72,72,72,100. which of the follong statement is true about the test scores. A the median represents these test score because it is the vallue that occurs the most. B the mean represents these test scores because it is the middle value of these test scores. C the median misrepresents these test scores because ioo is an extreme value. D the mean misrepresents these test scores because IOO is an extreme value.

B

Step-by-step explanation:

The mean is an average of all of the test scores. You get the mean by adding up all of the numbers then dividing it by the number of numbers.

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

mk./km: lm

step-by-step explanation:

,mlmlm

; mk

lk