Mean Deviation about Median

Q.

Find the mean deviation about median for the following data :

$\begin{array}{ccccccc}\text{Marks}& 0-10& 10-20& 20-30& 30-40& 40-50& 50-60\\ \text{Number of Girls}& 6& 8& 14& 16& 4& 2\end{array}$

Q.

Find the mean deviation about the median for the given data.

$\begin{array}{cccccc}{x}_i& 15& 21& 27& 30& 35\\ f_i& 3& 5& 6& 7& 8\end{array}$

Q. Find the mean deviation from the median for the following ungrouped data $20,25,30,18,15,40$

1. $6$
2. $4$
3. $7$
4. $5$

Q.

Consider any set of 201 observations $x_1,x_2,\cdots ,x_{200},x_{201}$. It is given that $x_1<x_2<\cdots <x_{200}<x_{201}$. Then, the mean deviation of this set of observations about a point k is minimum, when k equals

1. $\frac{x_1+x_2+\cdots +x_{200}+x_{201}}{201}$

2. $x_1$

3. $x_{101}$

4. $x_{201}$

Q. Calculate the mean deviation about median age for the age distribution of 100persons given below:12.Age 16-20 21-25 26-30 31-35 36-40 41-45 46-50 51-55(in years)Number512142612 16 9

Q.

Consider any set of 201 observations $x_1,x_2,\cdots ,x_{200},x_{201}$. It is given that $x_1<x_2<\cdots <x_{200}<x_{201}$. Then, the mean deviation of this set of observations about a point k is minimum, when k equals

1. $x_1$

2. $x_{101}$

3. $x_{201}$

4. $\frac{x_1+x_2+\cdots +x_{200}+x_{201}}{201}$

Q.

Given below are the diameters of circles (in mm) drawn in a design.

$\begin{array}{cccccc}\text{Diameter}& 33-36& 37-40& 41-41& 45-48& 49-52\\ \text{Number of circles}& 15& 17& 21& 22& 25\end{array}$

Calculate the mean diameter of the circles, variance and standard deviation.

Q.

Calculate mean deviation about mean and median for given observations {1, 1, 4, 2, 6, 100, 150, 200, 400}

1. 103.4, 93.55

2. 102.4, 93.55

3. 1024, 92.55

4. 102.4, 92.54

Q. $\begin{array}{cccccc}{X}_i& 3& 9& 10& 12& 13\\ f_i& 3& 4& 5& 2& 4\end{array}$
Mean deviation about median for this grouped frequency distribution is .

1. 2.21
2. 2.27
3. 2.9
4. 5

Q.

Number of goals scored by Messi in champion's league for past 10 years is a follows: {1, 1, 6, 9, 8, 12, 14, 8, 8, 10}. Find the mean deviation about median.

1. 2.8

2. 2.9

3. 2.5

4. 3

Q. 11.Find the mean deviation about median for the following data:MarksNumber ofGirls0-10 10-20 20-30 30-40 40-50 50-6014164

Q. Find the mean deviation about the median of the following data:
$45,36,50,60,53,46,51,48,72,42$.

1. $7.2$
2. $6.9$
3. $6.85$
4. $7.5$

Q. Number of goals scored by Ramos in the past 10 years is as follows: {1, 1, 6, 9, 8, 12, 14, 8, 8, 10}.
The mean deviation about the median is

1. 2.8
2. 2.9
3. 3
4. 3.1

Q. If A.M and G.M of roots of a quadratic equation are $8$ and $5$, respectively, then obtain the quadratic equation.

Q. Find the mean deviation about the median of the following data:
$11,3,8,7,5,14,10,2,9$.

1. $2.8$
2. $3$
3. $3.3$
4. $2.9$

Q. Find the mean deviation about the median for the data
$36,72,46,42,60,45,53,46,51,49$

Q. Find the mean deviation about the median for the following data: $4,6,9,3,10,13,2$.

Q. Calculate the mean deviation from median
$7,4,10,15,9,7,9,7$.