Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78. Her steps for finding the variance are shown below.
o2 - 187–7852 + (45–78)? +(90 - 78,2+(78–78,2 +(89 – 7832
5
2-(32)2 +
2 + (12)2 +0° +(11)
02 - 81-1024 + 144 +0 + 121
o2 = -678 = -135.5
What is the first error Cara made in computing the variance?
I’m

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.