Find the mean, median, mode, and range of the following values: 6, 12, 13, 17, 3, 7, 12. a. mean = 10 median = 13 mode = 12 range = 18 c. mean = 10 median = 13 mode = 13 range = 18 b. mean = 8.6 median = 12 mode = 13 range = 14 d. mean = 10 median = 12 mode = 12 range = 14 "

D. Mean: 10, Median: 12, Mode: 12, Range: 14

Step-by-step explanation:

3, 6, 7, 12, 12, 13, 17

Mean: 3 + 6 + 7 + 12 + 12 + 13 + 17 = 70/7 = 10

Median: 12

Mode: 12

Range: 17 - 3 = 14

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.