Home
Class 11
MATHS
Consider three observations a, b and c s...

Consider three observations a, b and c such that b=a+c. If the standard deviation of a+2, b+2, c+2 is d, then which of the following is true ?

A

`b^2=3(a^2+c^2+d^2)`

B

`b^2=a^2+c^2+3d^2`

C

`b^2=3(a^2+c^2)-9d^2`

D

`b^2=3(a^2+c^2)+9d^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If A=c(a^(2)+b^(2)) , then which of the following is/are true?

If 4ac>b^(2) and a+c>b for real numbers a,b and c,then which of the following is true?

Consider that f(x) =ax^(2) + bx +c, D = b^(2)-4ac , then which of the following is not true ?

If a, b, c, d are in proportion, then a : b = c : d and written as a : b : : c : d . Which of the following is true?

There are three amounts a,b and c, such that b is the simple interest on c and c is the simple interest on a. Which of the following must always be true?

Find the standard deviation of {11, 7, 10, 13, 9} A. 1 B. 2 C. 4 D. 5

a+2 , b+2 , c+2 are 3 observations such that b=a+c , and a+2 , b+2 , c+2 has standard deviation = d Then

If the integers a,b,c,d are in A.P a