Question

A new number is added in a series of numbers: 3,4,4,5,6,8 such that the average of series does not change. What is the new number?

Answer 1

The new number is 5.

==================

First, calculate the average (mean) of the series before the new number is added.

This is done by adding all the numbers in the series together and dividing by the count of numbers. For our initial series (3, 4, 4, 5, 6, 8), the sum is:

• 3 + 4 + 4 + 5 + 6 + 8 = 30,

and there are 6 numbers.

The average is therefore:

• 30 / 6 = 5

Let's say the new number is n. The new sum becomes 30 + n and the new series count becomes 7.

So we need to solve for n in the equation:

• (30 + n) / 7 = 5

By rearranging and simplifying:

• n = 5*7 - 30 = 5

So the new number added to the series is 5.

Answer 2

The new number is 5

Explanation:

3+4+4+5+6+8=30

30÷6=5