What is the deviation of the mean? 3,5,7,7,8,9,10,12,12,12,15

** please just answer my question don't put nothing else if you going to say something else***

All i want is the correct answer please!

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are

Step-by-step explanation:

μ

=

Σ

n

n

μ

=

1

+

3

+

5

+

5

+

7

+

9

+

10

+

11

+

13

+

15

+

15

+

17

+

17

+

17

14

μ

=

145

14

μ

=

10.357142857143

Let's evaluate the square difference from the mean of each term

(

X

i

−

μ

)

2

:

(

X

1

−

μ

)

2

=

(

1

−

10.357142857143

)

2

=

−

9.35714285714292

=

87.55612244898

(

X

2

−

μ

)

2

=

(

3

−

10.357142857143

)

2

=

−

7.3571428571429

2

=

54.127551020408

(

X

3

−

μ

)

2

=

(

5

−

10.357142857143

)

2

=

−

5.3571428571429

2

=

28.698979591837

(

X

4

−

μ

)

2

=

(

5

−

10.357142857143

)

2

=

−

5.3571428571429

2

=

28.698979591837

(

X

5

−

μ

)

2

=

(

7

−

10.357142857143

)

2

=

−

3.3571428571429

2

=

11.270408163265

(

X

6

−

μ

)

2

=

(

9

−

10.357142857143

)

2

=

−

1.3571428571429

2

=

1.8418367346939

(

X

7

−

μ

)

2

=

(

10

−

10.357142857143

)

2

=

−

0.35714285714286

2

=

0.12755102040816

(

X

8

−

μ

)

2

=

(

11

−

10.357142857143

)

2

=

0.64285714285714

2

=

0.41326530612245

(

X

9

−

μ

)

2

=

(

13

−

10.357142857143

)

2

=

2.6428571428571

2

=

6.984693877551

(

X

10

−

μ

)

2

=

(

15

−

10.357142857143

)

2

=

4.6428571428571

2

=

21.55612244898

(

X

11

−

μ

)

2

=

(

15

−

10.357142857143

)

2

=

4.6428571428571

2

=

21.55612244898

(

X

12

−

μ

)

2

=

(

17

−

10.357142857143

)

2

=

6.6428571428571

2

=

44.127551020408

(

X

13

−

μ

)

2

=

(

17

−

10.357142857143

)

2

=

6.6428571428571

2

=

44.127551020408

(

X

14

−

μ

)

2

=

(

17

−

10.357142857143

)

2

=

6.6428571428571

2

=

44.127551020408

Add up the terms:

Σ

E

(

X

i

−

μ

)

2

=

87.55612244898

+

54.127551020408

+

28.698979591837

+

28.698979591837

+

11.270408163265

+

1.8418367346939

+

0.12755102040816

+

0.41326530612245

+

6.984693877551

+

21.55612244898

+

21.55612244898

+

44.127551020408

+

44.127551020408

+

44.127551020408

Σ

E

(

X

i

−

μ

)

2

=

395.21428571429

Calculate Variance

σ

2

=

Σ

E

(

X

i

−

μ

)

2

n

σ

2

=

395.21428571429

14

σ

2

=

28.229591836735

Calculate Standard Deviation:

σ

=

√

σ

2

=

√

28.229591836735

σ

=

5.3132

y= -

the circle one