Answer:
11.2467
Step-by-step explanation:
First we need to find the mean
Add up all the data and divide by number of points)
(6+7+8+10+12+13+14+17+17+17+18+19+21+23+24+24+25+27+31+31+32+36+36+39+41+45+45+46+49+50)/30
261/10
26.1
Then to find the mean absolute deviation take each value and find the absolute value from the mean and sum it and then divide by the number of points
((26.1 -6)+(26.1-7)+(26.1-8)+(26.1-10)+(26.1-12)+(26.1-13)+(26.1-14)+(26.1-17)+(26.1-17)+(26.1-17)+(26.1-18)+(26.1-19)+(26.1-21)+(26.1-23)+(26.1-24)+(26.1-24)+(26.1-25)+(27-26.1)+(31-26.1)+(31-26.1)+(32-26.1)+(36-26.1)+(36-26.1)+(39-26.1)+(41-26.1)+(45-26.1)+(45-26.1)+(46-26.1)+(49-26.1)+(50-26.1))/30
11 16/75
Find the mean: sum/n
783/30
Find individual |x - 26.1| and add them:
|6-26.1| + |7-26.1| + ...... + |50-26.1|
= 20.1 + 19.1 + .... + 23.9
= 336.4
M.A.D = 336.4/30
12 + x is the larger number
In algebra, the word problem says:
y - x = 12, for y is the larger number, x is the smaller number
so
y = 12 + x
