Standard Deviation, main features, COEFFICIENT of SD, Standard Deviation versus Mean Deviation
🚩Timestamps:-
00:35 Standard Deviation
04:33 two main features of SD
06:24 COEFFICIENT OF STANDARD DEVIATION
07:46 How Standard Deviation differs from Mean Deviation
Learning Outcomes:-
Through this module, you will gain understanding on:-
1. Standard Deviation
2. two main features of SD
3. COEFFICIENT OF STANDARD DEVIATION
4. How Standard Deviation differs from Mean Deviation?
Standard Deviation
· most satisfactory scientific method of dispersion
· widely used method in statistical analysis
· first used by Karl Pearson.
· sometimes called as “Root Mean Square Deviation
· denoted by (sigma) of the Greek language
Σ in uppercase, σ in lowercase
Standard Deviation is the square root of the arithmetic mean of the squares of deviations of the items taken from their mean value.
Standard deviation
has two main features:
(i) The value of its deviation is taken from arithmetic mean.
(ii) Plus and minus signs of the deviations taken from the mean are not ignored. In fact, signs of the deviations become redundant once the deviations are squared. Finally, square root of the arithmetic mean of the squares of the deviation is calculated. It is this square root which is called Standard Deviation. This is always in positive value.
COEFFICIENT OF STANDARD DEVIATION
This is a relative measure of the dispersion of series. It is generally used whenever variation in different series is compared. Coefficient of standard deviation is estimated by dividing the value of standard deviation by the mean of the series.
How Standard
Deviation differs from Mean Deviation?
|
Standard Deviation |
Mean Deviation |
|
1. In the calculation of standard deviation, deviations are taken only from the mean value of the series 2. But in the calculation of standard deviation, signs are not ignored. |
1. in the calculation of mean deviation, deviations may be taken from mean, median or mode 2. In the calculation of mean deviation, signs of deviations (+) or (-) are ignored |
VIDEO DESCRIPTION (max 5,000 characters)
Standard Deviation, two main features of SD, COEFFICIENT OF STANDARD DEVIATION, How Standard Deviation differs from Mean Deviation | Measures of Dispersion | 11th Commerce | by @statomics11comm
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Ch 11 - (DISPERSION) Measures of Dispersion
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