List of top Mathematical Ability Questions on Statistics asked in TG ICET

Consider the quadratic equation $x^{2}+bx+c=0$ where the coefficients $b,c\in\{2,6,8,9\}$. Find the probability that the equation has real and equal roots:}

A bag contains 5 Red, 4 White, and 6 Black balls. If one ball is drawn completely at random, then the probability that it is either a Red or a White ball is:

If \(m\) and \(c\) denote the slope and the \(y\)-intercept of the line \(3x-5y-6=0\), then \((m,c)=\)

If the equation of the line passing through the point \((-4,3)\) and having a slope \(\left(-\frac{2}{3}\right)\) is \(ax+by=c\), then \(a^2+b^2-c^2=\)

The mean of nine distinct numbers is \(20\). If each of the largest four numbers is increased by \(\frac{2}{3}\) and each of the smallest four numbers is reduced by \(\frac{8}{3}\), then the mean of the resultant numbers is

If the arithmetic mean of the frequency distribution given below is $\frac{22}{5}$ and $\sum_{i=1}^{6}f_{i}=35$, then find the value of $a^{2}+b^{3}$:}

Find the median of the following classified frequency data distribution table:

(Note: Assuming a symmetrical balanced continuous representation where the middle median interval applies clearly)

If the median of the data observations $7,13,48,12,19,54,61,x$ is $25$ and it is given that $29<x<42$, then find the value of $x$:

The lines $3x-2y=-6$ and $x+y=3$ meet the $Y$-axis at the point $A$ and meet the $X$-axis at the points $B$ and $C$. Then the area of $\triangle ABC$ (in sq. units) is

If the line $5y=7x$ divides the line segment joining the points $(3,5)$ and $(-5,2)$ in the ratio $m:n$ (where $\gcd(m,n)=1$), then the least value of $m^{2}+n^{2}$ is}

If the angle between the lines $7x+3py+5=0$ and $3x-14py+11=0$ is $\frac{\pi}{2}$, then a value of $p$ is}