Hello,
If 3x-1>=0 then
x>=1/3
|3x-1\=3x-1
2*|3x-1|=18
2*(3x-1)=18
6x-2=18
6x=20
x=10/3
else
x<1/3
|3x-1|=-(3x-1)
2*|3x-1|=18
2(-(3x-1))=18
-6x+2=18
-6x=16
x=-8/3
endif
Center : Mean Before the introduction of the new course, center = average(121,134,106,93,149,130,119,128) = 122.5 After the introduction of the new course, center = average(121,134,106,93,149,130,119,128,45) = 113.9 The center has moved to the left (if plotted in a graph) because of the low intake for the new course. Spread before introduction of the new course : Arrange the numbers in ascending order: (93, 106,119, 121), (128, 130,134, 149) Q1=median(93,106,119,121) = 112.5 Q3=median(128,130,134,149) = 132 Spread = Interquartile range = Q3-Q1 = 19.5 After addition of the new course,
(45,93, 106,119,) 121, (128, 130,134, 149)
Q1=median(45,93,106,119)=99.5
Q3=median (128, 130,134, 149)= 132
Spread = Interquartile range = 132-99.5 =32.5
We see that the spread has increased after the addition of the new course.
