Carlton is using the following data samples to make a claim about the house values in his neighborhood:

house

value

a $100,000
b $600,000
c $650,000
d $700,000
e $900,000

based on the data, should carlton use the mean or the median to make an inference about the house values in his neighborhood?

Carlton should use the median.

Step-by-step explanation:

Value of houses:

A $100,000  

B $600,000  

C $650,000  

D $700,000  

E $900,000  

Here finding mean will be inaccurate as Option A or $100,000 is an outlier as it has a big difference from the other values.

So, Carlton should use the median because the mean will be inaccurate because of the outlier.

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.