Jamie recorded the number of points she scored during her last 5 basketball games. She scored, 15, 25, 10, 2, and 8 points. What is the mean absolute deviation of the points she scored during the last five games?​

6.4

Step-by-step explanation:

Given scores:

15, 25, 10, 2, and 8

Mean of the scores:

(15 + 25 + 10 + 2 + 8)/5 =  12

Absolute deviations:

|15 - 12|= 3|25 - 12|= 13|10 - 12| = 2 |2 - 12| = 10|8 - 12| = 4

Sum of absolute deviations:

3 + 13 + 2 + 10 + 4 = 32

Mean absolute deviation:

32/5 = 6.4

total no of game (n)=5

score =15, 25, 10, 2, and 8 points

mean= sum of score/no.of game

=(15+25+10+2+8)/5=60/5=12

absolute deviation of

15=\15-12\=3

25=\25-12\=13

10=\10-12\=2

2=\2-12\=10

8=\8-12\=4

mean absolute deviation=

(3+13+2+10+4)/5=3.6

is the mean absolute deviation of the points she scored during the last five games.

Let's start with an alternative method. One of the things you could do is graph the given equations. I've done the first 2 equations for you
Red Parabola
The red one is y = x^2 + 6x + 8
It is showing the lowest point as y = (x +3)^2 - 1 Just read this by completing the square.
You can get this answer by either completing the square or calculus
Blue Parabola
The blue parabola has it's minimum as shown on the graph as (-4,-4)
So it looks like this
y = a(x + 4)^2 - 4 That's the bare outline of the solution.
This one you have no choice but to complete the square, unless of course you just want to point in to solve for a
y = 2(x^2 + 8x + )  + 28
y = 2(x^2 + 8x + (8/2)^2 ) + 28 - 2*16
y = 2(x + 4)^2 - 4

Graphing it has the advantage of giving you the answer right away. If you have to show work, then you have to complete the square, but at least you know what the answer should be. If you have a graphing calculator so much the better. The program I did this with is desmos.