Computation of Mean Deviation

If $\overline{x}$ is the mean of $n$ observations $x_1,x_2,\dots ,x_n$ then the mean of the absolute deviations of these observations from $\overline{x}$ is

The mean deviation from the mean of the discrete data $1,3,4,7,11,18,29,47,78$ is

The mean deviation about the mean for the following data: $5,6,7,8,6,9,13,12,15$ is

If the mean of the data $p, 6,6,7,8,11,15,16$, is $3$ times $p$, then the mean deviation of the data from its mean is

What will be the probable value of mean deviation when $Q_3=40$ and $Q_1=15$?

Sum of the squares of deviations is minimum when deviations are taken from

Number of students who visited Physics coaching are $13, 17, 11, 15$ in four days then find the variance for the given data

If $u_i=\frac{x_i-35}{10}, \sum f_i{u}_i=30, \sum f_i=60$, then what is the value of assumed mean?

If $u_i=\frac{x_i-25}{10}, \sum f_i{u}_i=20, \sum f_i=100$, then what is the value of assumed mean?

The runs scored by Virat in $7$ different matches are given as:

$19, 91, 04, 36,13, 47, 56$

Calculate the mean deviation about the median for this data.

In a competition the number of mangoes eaten by six contestants in an hour is as follows:

$12, 18, 21, 26, 17, 20$

Find the mean deviation about the mean for the given data (correct to two decimal places).

Find the mean deviation(in decimal) about the mean for the following data:

$6,8, 4, 13, 9, 5, 16, 19$.

The mean deviation of the data $3, 10, 10, 4, 7, 10, 5$ is:

If the weekly wages of $5000$ workers in a factory follows normal distribution with mean and SD as $₹ 700$ and $₹ 50$ respectively, what is the expected number of workers with wages between $₹ 660$ and $₹ 720$?

The average weekly food expenditure of a group of families has a normal distribution with mean $₹ 1,800$ and standard deviation $₹ 300$. What is the probability that out of $5$ families belonging to this group, at least one family has weekly food expenditure in excess of $₹ 2,100 ?$ Given $\varphi \left(1\right)=0.84$.

"Mean has the least sampling variability" prove the mathematical property of mean

The correction factor is applied in

For the observations $6, 4, 1, 6, 5, 10, 4, 8$ Range is

The probability distribution of a random variable is as follows:

$\begin{array}{lccccc}x:& 1& 2& 4& 6& 8\\ P:& k& 2k& 3k& 3k& k\end{array}$

The variance of $x$ is

For finding A.M in Step-deviation method, the class intervals should be of