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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Iteam
|
Price
|
Weight
|
|
|
Base Year
|
Current Year
|
||
|
Food
|
30
|
47
|
4
|
|
Fuel
|
8
|
12
|
1
|
|
Cloth
|
14
|
18
|
3
|
|
House Rent
|
22
|
15
|
2
|
|
Miscellancous
|
25
|
30
|
1
|
| Price per unit (₹) | Quantity Demanded (Units) |
| $10$ | $20$ |
| $9$ | $25$ |