PRACTICE QUESTIONS COMPETITION WING

If the mode of the following data is $9$, then find the median of the data.

If the difference between the mode and the median of certain observations is $54$, then the difference between the median and the mean is _____.

If the median of $\frac{a}{3}, \frac{a}{2}, \frac{{\displaystyle a}}{{\displaystyle 4}}, \frac{{\displaystyle a}}{{\displaystyle 5}},\frac{{\displaystyle a}}{{\displaystyle 6}}$ is $12$, then find the value of $a \left(a>0\right)$.

Mean of $n$ observations is $x$. If each of these $n$ observations is increased by $2, 4, 6, 8, ...,n,$ respectively, then which of the following is the new mean?

In a company the average salary of male employees is $₹8200$ and that of female employees is $₹7200$. If the average salary per employee is $₹7900$ then the percentage of female employees of the total employees is _____.

If the mode of the observations $4, 2, 3, 3, 3, 2, 2, 4, 2, 4, x, 3, 4, 4, 2, 3, 4$ is $4$, then $x$ cannot be _____.

The mean of $15$ observations is $30$. Two observations $28$ and $38$ are deleted and three observations $33, 39$ and $48$ are included. Find the new set of observations.

The mean of $A, B, C, D, ... X, Y, Z \left(26 terms\right)$ is $a$. Find the value of $\left(A-a\right)+\left(B-a\right)+\left(C-a\right)+\left(D-a\right)+...\left(X-a\right)+\left(Y-a\right)+\left(Z-a\right).$