Quant Exam > Quant Questions > If the mean and sd of x are a and b respectiv...
Start Learning for Free
If the mean and sd of x are a and b respectively, then the sd of (x-a)/b is?
Verified Answer
If the mean and sd of x are a and b respectively, then the sd of (x-a)...
(x1-a)/b + (x2-a)/b + ... + (xn-a)/b = ( (x1+x2+x3+...+xn) - n*a ) / b =(n*a - n*a)/b = 0
So the new SD is:
sqrt( ((x1-a)/b - 0)^2 + ... + ((xn-a)/b - 0)^2) / n )
= sqrt( ((x1-a)^2 + (x2-a)^2 + ... + (xn-a)^2)/(n*b^2) )
= sqrt( ((x1-a)^2 + (x2-a)^2 + ... + (xn-a)^2)/n ) / b
= b / b
= 1
So the result is 1
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
If the mean and sd of x are a and b respectively, then the sd of (x-a)...
We know that std deviation is dependent of change in scale. and sd of x is b so put value of sd ie b in the given equation in place of x so, req. sd is x/b ie b/b and hnce ans will be 1
|
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
If the mean and sd of x are a and b respectively, then the sd of (x-a)/b is?
Question Description
If the mean and sd of x are a and b respectively, then the sd of (x-a)/b is? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the mean and sd of x are a and b respectively, then the sd of (x-a)/b is? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the mean and sd of x are a and b respectively, then the sd of (x-a)/b is?.
If the mean and sd of x are a and b respectively, then the sd of (x-a)/b is? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the mean and sd of x are a and b respectively, then the sd of (x-a)/b is? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the mean and sd of x are a and b respectively, then the sd of (x-a)/b is?.
Solutions for If the mean and sd of x are a and b respectively, then the sd of (x-a)/b is? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of If the mean and sd of x are a and b respectively, then the sd of (x-a)/b is? defined & explained in the simplest way possible. Besides giving the explanation of
If the mean and sd of x are a and b respectively, then the sd of (x-a)/b is?, a detailed solution for If the mean and sd of x are a and b respectively, then the sd of (x-a)/b is? has been provided alongside types of If the mean and sd of x are a and b respectively, then the sd of (x-a)/b is? theory, EduRev gives you an
ample number of questions to practice If the mean and sd of x are a and b respectively, then the sd of (x-a)/b is? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup