The parallel boxplots below display the quiz grades (out of 30) for two of Mrs. Smith's statistics classes.
Which statement best compares the variability of the
quiz scores for the two classes?
Class 1 000
O The quiz grades for class 1 have more variability
than the quiz grades for class 2.
The quiz grades for class 1 have less variability than
the quiz grades for class 2.
The quiz grades for class 1 are not as spread out as
the quiz grades for class 2.
O The quiz grades for class 1 are higher, on average,
than the quiz grades for class 2.
Class 2
+
12 14 16 18 20 22 24 26 28 30
Quiz Grades

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!

1 is c

2 is a

3 is a

step-by-step explanation:

the correct answer is c