MCQ
The empirical relationship between the three measures of central tendencies is:
- A$3$ mode $=$ mean $+\ 2$ median
- ✓Mode $= 3$ median $-\ 2$ mean
- CNone of these
- D$3$ mean $=$ median $+\ 2$ mode
✓
Answer
Correct option: B.
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
$\text{Mean}=\frac{1}{2}(3 \text{ median - mode})$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Write the correct answer in the following: One of the factors of $\left(25 x^2-1\right)+(1+5 x)^2$ is.
→In the given figure, the measure of $\angle\text{ABC}$ is:
→Every rational number is:
The diagonal of a rhombus are $24\ cm$ and $10\ cm$. Then its perimeter is:
→If $P(x) = x^3-1$, then the value of $P(1) + P(-1)$ is:
→$\frac{(\text{a}^2-\text{b}^2)^3+(\text{b}^2-\text{c}^2)^3+(\text{c}^2-\text{a}^2)^3}{(\text{a}-\text{b})^3+(\text{b}-\text{c})^3+(\text{c}-\text{a})^3}=$
→If $\left(2^3\right)^2=4^x$, then $3^x=$
→The equation $2x + 5y = 7$ has a unique solution, if $x$ and $y$ are:
→If $(x-1)$ is a factor of polynomial $f(x)$ but not of $g(x)$, then it must be a factor of:
→If the $y$ co-ordinate of a point is zero, then this point always lies:
→