Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
mobile
exams
ask
sample papers
tutors
pricing
login
X
ASK
Home
>>
CBSE XI
>>
Math
>>
Statistics
The sum of the squares of the deviations of the values of the variable is _______ when taken about their arithmetic mean.
$\begin{array}{1 1}(A)\; 0 \\(B)\;minimum \\(C)\;maximum \\(D)\;equal \end{array} $
cbse
math
class11
ch15
statistics
exemplar
q44
sec-a
easy
Share
asked
Jul 9, 2014
by
meena.p
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1 Answer
The sum of the squares of the deviations of the values of the variable is minimum when taken about their arithmetic mean.
Hence B is the correct answer.
answered
Jul 9, 2014
by
meena.p
Please
log in
or
register
to add a comment.
Related questions
If $\bar {x}$ is the mean of n values of x, then $\sum \limits_{i=1}^{n} (x_i -\bar{x} )$ is always equal to _______. If a has any value other than $\bar {x}$ , then $\sum \limits_{i-1}^{n} (x_i -\bar {x} )^2$ is _________ than $\sum (x_i -a)^2$
cbse
math
class11
ch15
statistics
exemplar
q41
sec-a
easy
asked
Jul 9, 2014
by
meena.p
1
answer
When tested , the lives (in hours) of $5$ bulbs were noted as follows : $1357,1090,1666,1494,1623$ The mean deviations (in hours) from their mean is
cbse
math
class11
ch15
statistics
exemplar
q26
sec-b
medium
asked
Jul 8, 2014
by
meena.p
1
answer
The mean and standard deviation of some data for the time taken to complete a test are calculated with the following results:Number of observations =$25$,mean =$18.2$ seconds, standard deviation $=3.25$ seconds. Further another set of $15$ observations $x_1,x_2,......x_5$ also in seconds is now available and we have $\sum\limits_{i=1} ^{15}x_i =279$ and $\sum \limits_{i=1} ^{15} x_i^2 =5524$Calculate the standard deviation based on all $40$ observations
cbse
math
class11
ch15
statistics
exemplar
q3
sec-a
medium
asked
Jul 3, 2014
by
meena.p
1
answer
Mean and standard deviation of 100 items are 50 and 4 , respectively . find the sum of all items and sum of the squares of the items.
cbse
math
class11
ch15
statistics
exemplar
q13
sec-b
medium
asked
Jul 4, 2014
by
meena.p
1
answer
Let $a,b,c,d,e$ be the observations with mean m and standard deviations $S$. The standard deviation of the observations $a+k,b+k,c+k,d+k,e+k$ is
cbse
math
class11
ch15
statistics
exemplar
q32
sec-c
difficult
asked
Jul 8, 2014
by
meena.p
1
answer
The standard deviation is __________ the mean deviation taken from the arithematic mean
cbse
math
class11
ch15
statistics
exemplar
q46
sec-a
easy
asked
Jul 9, 2014
by
meena.p
1
answer
Coefficient of variance of two distributions are 50 and 60 , and their arithmetic means are 30 and 25 respectively. Difference of their standard deviation is:
cbse
math
class11
ch15
statistics
exemplar
q38
sec-b
medium
asked
Jul 9, 2014
by
meena.p
1
answer
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
...