Question

the average of x number is 3x. if x-1 is s?ubtracted from each given number, what will be the new average

Answer 1

I hope it helpful to u

Answer 2

The new average is 2x+1.

Step-by-step explanation:

It is given that average of x number is 3x.

Formula for mean:

$Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}$

$3x=\dfrac{\text{Sum of observations}}{x}$

Multiply both sides by x.

$3x^2=Sum of observations$

If x-1 is subtracted from each given number, then (x-1) is subtracted x times from sum of observations.

Sum of observations $= 3x^2 - x(x-1)=3x^2-x^2+x=2x^2+x$

The new average is

$Mean=\dfrac{2x^2+x}{x}$

$Mean=\dfrac{x(2x+1)}{x}$

$Mean=2x+1$

Therefore, the new average is 2x+1.

#Learn more

The average age of 8 boys is 12 years if a boy of 19 years leave what is the average age of remaining boys.

https://brainly.in/question/1615635

Mean of 7 numbers is 42 if one number is excluded there mean becomes 39 what is the number Express.

brainly.in/question/2400893