Brainliest + points! mathmetacians in the test scores for 9 students on the unit 1 test were 35, 25, 50, 95, 80, 60, 45, 100, and 90. what is the value of the third quartile for this data set? a. 85 b. 90 c. 92.5 d. 95

C. 92.5

Step-by-step explanation:

We know that the third quartile of a data is the median of the upper half data.

The given data : 35, 25, 50, 95, 80, 60, 45, 100, and 90.

First we arrange the data in an a order .

Then, the arranged data will be :-

25, 35, 45, 50, 60, 80, 90, 95,100

The upper half data :  80, 90, 95,100

Median of the upper half = Mean of middle most two numbers

=

Hence, the  value of the third quartile for this data set is 92.5.

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.