MCQ
The empirical relationship between the three measures of central tendencies is :
- ✓Mode $= 3$ median $- 2$ mean
- B$3$ mean $=$ median $+\ 2$ mode
- C$3 $ mode $=$ mean $+\ 2$ median
- DNone of these
✓
Answer
Correct option: A.
Mode $= 3$ median $- 2$ mean
The empirical relationship between the three measures of central tendencies is $3$ Median $=$ Mode $+\ 2$ Mean.
The relationship is as per observation.
A distribution in which the values of mean, median and mode coincide
$($i.e. mean $=$ median $=$ mode$)$ is called symmetrical distribution.
conversely, when the values of mean, median, mode are not equal, the distribution is called asymmetrical or skewed.
Knowing any two values, the third can be computed by this formula
$3$ median $= 2$ mean $+$ mode
$2$ mean $= 3$ median $-$ mode
mean $=\frac{1}{2}\ {3}$ median $-$ mode
The relationship is as per observation.
A distribution in which the values of mean, median and mode coincide
$($i.e. mean $=$ median $=$ mode$)$ is called symmetrical distribution.
conversely, when the values of mean, median, mode are not equal, the distribution is called asymmetrical or skewed.
Knowing any two values, the third can be computed by this formula
$3$ median $= 2$ mean $+$ mode
$2$ mean $= 3$ median $-$ mode
mean $=\frac{1}{2}\ {3}$ median $-$ mode
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