Please help!!

Mathematics

2 answers:

Anni [7]3 years ago

8 0

Data set 1 : the mean is (1+2+4+4+5+5+6+7+9+9+9+11) / 12 = 72/12 = 6

the MAD is :
1 - 6 = -5....|-5| = 5
2 - 6 = -4....|-4| = 4
4 - 6 = -2...|-2| = 2
4 - 6 = -2...|-2| = 2
5 - 6 = -1...|-1| = 1
5 - 6 = -1...|-1| = 1
6 - 6 = 0 ...| 0| = 0
7 - 6 = 1....|1| = 1
9 - 6 = 3...|3| = 3
9 - 6 = 3...|3| = 3
9 - 6 = 3...|3| = 3
11 - 6 = 5...|5| = 5

(5+4+2+2+1+1+0+1+3+3+3+5) / 12 = 30/12 = 2.5 <== the MAD

2nd data set :
the mean is (1+3+4+6+6+6+7+9+9+10+10+13) / 12 = 84/12 = 7

mad is :
1 - 7 = -6...| -6| = 6
3 - 7 = -4...|-4| = 4
4 - 7 = -3...|-3| = 3
6 - 7 = -1...|-1| = 1
6 - 7 = -1..|-1| = 1
6 - 7 = -1..|-1| = 1
7 - 7 = 0...|0| = 0
9 - 7 = 2...|2| = 2
9 - 7 = 2...|2| = 2
10 - 7 = 3..|3| = 3
10 - 7 = 3...|3| = 3
13 - 7 = 6...|6| = 6

(6+4+3+1+1+1+0+2+2+3+3+6) / 12 = 32/12 = 2.67 <== the MAD

the difference of the means is 1. This value is less then half of the mean absolute deviation of either data set. <== ur answer

Lynna [10]3 years ago

4 0

Answer:

The answer would be A

Step-by-step explanation:

You might be interested in

Solve for x hhhhhhhhhhhhhhhhhhhhhhhhhh

MAVERICK [17]

9514 1404 393

Answer:

x = 5

Step-by-step explanation:

In order to obtain a solution, we must assume that the figure is a parallelogram.

Angle BED will be congruent to angle BCD. The sum of angles in triangle BED is 180°, so we have ...

55° +51° +(14x +4)° = 180°

14x = 70 . . . . . . divide by °, subtract 110

x = 5 . . . . . . . . . divide by 14

5 0

3 years ago

The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp

Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

$d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}$

Using that formula, you may prove that $d(C,E) = d(D,F)$ , which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

$m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}$

You can use this formula to prove that

$m_{CE} = -\cfrac{1}{m_{DF}}$

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

$y-y_0 = m(x-x_0)$

where $(x_0,y_0)$ is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines: