What is the mean deviation of x, 2x, x+1 and 3x. If their...
What is the mean deviation of x, 2x, x+1 and 3x. If their mean is 2?
0.5
1.0
1.5
2.0
Correct answer is 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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