A teacher wants to find out the average number of weekly reading hours of her students. She noted the number of reading hours of 5 of her students, as shown below: 8, 6, 5, 7, 4

Which measure of central tendency is most appropriate for this situation and what is its value?

Only the median; 6
Only the mean; 5
Either the mean or median; both are 6
Either the mean or median; both are 5

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.

8

step-by-step explanation:

this is a subtraction problem.

10 - 2 = 8