Question

If the mean of 1,2,3.....x is 6x/11, find the value of x

Answer 1

Hope this may help you

Answer 2

Answer:

The correct answer will be

x = 11

Step-by-step explanation:

From the question, we can see that the numbers are -

1, 2, 3, ... up to x

If we add the natural numbers like -

1+2+3+...+x

we know that the sum of n natural numbers is given by the number multiplied by (n+1) and divided by 2. Like,

$\frac{n(n+1)}{2}$

Now in the given question, we have to find the number x. We are given mean as a function of x.

Finding Mean -

$\frac{1+2+3...+x}{x} = \frac{6x}{11}$

Now, substituting the summation of n natural numbers in this equation -

$\frac{x(x+1)}{2x} = \frac{6x}{11}\\ \\11x+11= 12x\\\\x = 11$

So the value of x will be 11.

And the mean will be = $\frac{6\times11}{11}$ = 6

#SPJ2