Prove that Mean deviation is minimum abo...

Prove that Mean deviation is minimum about its median.

Topper's Solved these Questions

Ramakrishna Mission Boys Home High School, Question Paper
UNITED BOOK HOUSE|Exercise Exercise |44 Videos
SETS,FUNCTIONS AND CALCULUS
UNITED BOOK HOUSE|Exercise EXERCISE|18 Videos

Similar Questions

Explore conceptually related problems

Prove that Mean Deviation is minimum when measured about median.

Prove that mean deviation will be minimum when deviation are taken from median.

Prove that Mean Deviation about mean cannot exceed Standard Deviation.

Fill in the blanks: Mean deviation is minimum when deviations are taken about__________.

Sum of the absolute deviation is minimum when it is taken about

The mean deviation from median is

Prove that the s.d. can not be smaller than mean deviation about mean.

Find the coefficuent of mean deviation (i) about mean (ii) about median of the following marks : Marks : 70, 25, 50, 85, 45, 65, 20, 40

True/false: S.D. cannot exceed Mean deviation about mean.

Find the mean deviation about the median for the following data:

UNITED BOOK HOUSE-Scottish Church Collegiate School, Question Paper -Exercise

The sum of the deviations of the values of a variable from its is zer...
Text Solution
|
For four positive values x1, x2, x3, x4 prove that AM geGM.
Text Solution
|
Prove that Mean deviation is minimum about its median.
Text Solution
|
What are the different types of heart sound. State their causes and si...
Text Solution
|
If a, b, c and x, y, z are positive, then show that (a/x + b/y + c/z) ...
Text Solution
|
State Fermat’s theorem. Also prove that /\log f(x) = log [1 +(/\ f(x))...
Text Solution
|
Find the polynomial function f(x) for which it is known that f(0) = 1,...
Text Solution
|
Prove that 1/n overset(n)underset(E1)sum |xi - A| attains, minimum whe...
Text Solution
|
If the events A^C and B^C are independent then show that A and B are i...
Text Solution
|
The probabilities of solving a problem by three students A,B,C are 3/7...
Text Solution
|
Suppose a variable assumes the values, 0, 1, 2,………….n with frequencies...
Text Solution
|
For any frequecy distribution
Text Solution
|
If the mean and variance of one set of values be barx1 and s1^2 and th...
Text Solution
|
Define imbibition State its significance.
Text Solution
|
The elements A, B and C have atomic numbers Z -2, Z and Z +1 respecive...
Text Solution
|
State and prove the theorem of compound probability.
Text Solution
|
The H.M of a set of values is 2. If each value is tripled, the new H.M...
Text Solution
|
If the relation between two variable x and y is 5y+7x=11 and the range...
Text Solution
|
A dinner party is to be fixed for a group of 100 persons. In this part...
Text Solution
|
If var (x) = 7, then var (5 - 3x) is equal to
Text Solution
|