What is the mean deviation of x 2x x 1 and 3x I... - JAMB Mathematics 2009 Question
What is the mean deviation of x, 2x, x+1 and 3x. If their mean is 2?
A
0.5
B
1.0
C
1.5
D
2.0
correct option: a
x | ∴x | x-X | /x-X/ |
x | 1 | -1 | 1 |
2x | 2 | 0 | 0 |
x+1 | 2 | 0 | 0 |
3x | 3 | 1 | 1 |
∑/x-X/=2 |
Mean = | x+2x+x+1+3x |
____4 |
2 = | 7x+1 |
_4 |
8 = 7x+1
7x = 8-1
7x = 7
x = 1
Mean deviation = | ∑/x-X/ |
__n |
= | 2 |
4 |
= | 1 |
2 |
= 0.5
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