Question
Give some differences between mean deviation and standard deviation.
| S. No. |
Basis
|
Mean Deviation
|
Standard Deviation
|
| 1. |
Meaning
|
Mean deviation is the sum of absolute deviations from an average divided by the number of items.
|
Standard deviation is the positive square root of the Sum of square of deviations of from their arithmetic mean divided by the sample size.
|
| 2. |
Algebraic Signs
|
While calculating the deviations, 'plus' and 'minus' signs are not considered. Only the absolute value is considered.
|
While calculating the deviations, 'plus' and 'minus' signs are considered.
|
| 3. |
Average Used
|
It can be computed from either mean or median.
|
It is always computed from mean.
|
| 4. |
Algebraic Treatment
|
It is not capable of being treated algebraically.
|
It is capable of being treated algebraically.
|
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| Output (Units) | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| Total Cost (₹) | 60 | 78 | 90 | 102 | 112 | 120 | 126 |
|
X
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
13
|
14
|
15
|
|
Y
|
78
|
72
|
66
|
60
|
54
|
48
|
42
|
36
|
30
|
24
|
18
|
12
|
| Commodity | Year 2005 | Year 2006 | ||
| Price | Quantity | Price | Quantity | |
| A | 2 | 8 | 4 | 6 |
| B | 5 | 10 | 6 | 5 |
| C | 4 | 14 | 5 | 10 |
| D | 2 | 19 | 2 | 13 |
|
A
|
3
|
5
|
8
|
4
|
7
|
10
|
2
|
1
|
6
|
9
|
|
B
|
6
|
4
|
9
|
8
|
1
|
2
|
3
|
10
|
5
|
7 |
| Output (Units) | 1 | 2 | 3 | 4 | 5 | 6 |
| Average Cost (₹) | 12 | 11 | 10 | 10 | 10.4 | 11 |