Question

If the mean of 4 consecutive odd numbers is 6 then the largest number is

Answer 1

hence largest number is 9

Answer 2

Given:

The mean of 4 consecutive odd numbers is 6.

To find:

The largest number.

Solution:

The largest number is 9.

To answer this question, we will follow the following steps:

Let the smallest odd number be x.

So, the other three consecutive odd numbers are (x + 2), (x + 4) and (x + 6)

Now,

As given, we have,

The mean of 4 consecutive odd numbers = 6

Also,

$\frac{Sum. of observations}{number of observations} = Mean$

So,

$\frac{(x) + (x + 2) + (x + 4) + (x + 6)}{4} = 6$

$4x + 12 = 24$

$4x = 12$

$x = 3$

So,

The largest number = x + 6 = 3 + 6 = 9

Hence, the largest number is 9.