Dynamics and Statistics Questions

The slope of the line touching both the parabolas y2 = 4x and x2 = - 32y is

Mode of the distribution Marks 4 5 6 7 8 Number 3 5 10 6 1of students is...

If median = (mode + 2 mean) M, then M is equal to-

For a normal distribution, we have

The mode of the following items is 0, 1, 6, 7, 2, 3, 7, 6, 6, 2, 6, 0, 5, 6, 0 is-

The median of the items 6, 10, 4, 3, 9, 11, 22, 18 is-

In an arranged discrete series in which total number of observations ′n′ is even, median is

If a variable takes the discrete values α + 4, α −, α − , α − 3, α − 2, α + , α − , α + 5 (α > 0), then the median is-...

The median of 10, 14, 11, 9, 8, 12, 6 is

Following table shows the weight of 12 students: Weight (in kgs.) 67 70 72 73 75 No. of students 4 3 2 2 1then mean weight is-...

All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even aft...

The mean deviation about the mean for the data $$x_{i}$$ 5 7 9 10 12 15 $$f_{i}$$ 8 6 2 2 2 6 is equal to :...

A data consists of 20 observations $x_{1},x_{2},\ldots..,x_{20}$. If $\sum_{i = 1}^{20}\mspace{2mu}\left( x_{i} + 5 \right)^{2} = 2500$ and $\sum_{i = 1}^{20}\mspace{2mu}\left( x_{i} - 5 \right)^{2} =...

A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and variance 1. Then, the variance of all these 10 observations is equal to :

Let the mean and the variance of seven observations $2,4,\alpha,8,\beta,12,14,\alpha < \beta$, be 8 and 16 respectively. Then the quadratic equation whose roots are $3\alpha + 2$ and $2\beta + 1$ i...

Suppose that the mean and median of the nonnegative numbers 21, 8, 17, a, $51,103,\text{ }b,13,67$, $(a > b)$, are 40 and 21, respectively. If the mean deviation about the median is 26 , then 2 a i...

A variable $X$ takes values $0,0,2,6,12,20,\ldots$. $n(n - 1)$ with frequencies $\ ^{n}C_{0},\ ^{n}C_{1},\ ^{n}C_{2},\ ^{n}C_{3},\ ^{n}C_{4}$, $\ ^{n}C_{5},\ldots..\ ^{n}C_{n}$, respectively. If the m...

The mean and variance of $n$ observations are 8 and 16 , respectively. If the sum of the first ( $n - 1$ ) observations is 48 and the sum of squares of the first ( $n - 1$ ) observations is 496 , then...

If the mean of the data Class $$5 - 10$$ $$10 - 15$$ $$15 - 20$$ $$20 - 25$$ $$25 - 30$$ $$30 - 35$$ Frequency 2 k 28 54 $$k + 1$$ 5 is 21 , then k is one of the roots of the equation :...

The mean and variance of 10 observations are 9 and 34.2, respectively. If 8 of these observations are $2, 3, 5, 10, 11, 13, 15, 21$, find the mean deviation about the median of all 10 observations.