The mean of 5 numbers is 20 the median is 23 what might the number be

Step-by-step explanation:

We know that:

If the mean is 20, then the sum of all number must be 100, because:

Also, we know that the median is 23, this means that the middle number is 23, because they number of elements is an odd number (5), when that happens, the median is always the number placed in the middle.

So, we know that the middle number is 23, now we have to find for numbers that sum 77, because 77+23 = 100.

The numbers that fit with all these characteristics are:

12, 14, 23, 25, 26

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

dwe

step-by-step explanation:

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