Two data sets are summarized in the box plots shown. Plot A
Plot B
4 5 6 7 8 9 10 11 12 13 14 15 16
4 5 6 7 8 9 10 11 12 13 14
Which statements comparing the two box plots are correct? Choose all the correct statements.
A. The mean of plot B is greater than the mean of plot A.
B. The range of plot B is greater than the range of plot A.
C. The median of plot B is the same as the median of plot A.
D. The interquartile range of plot B is the same as the interquartile range of plot A.

i think it is a and d

Step-by-step explanation:

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.

c. (3,2,6) is the answer.