8. The average income of five teachers is Php15,000. If one teacher is promoted and given a raise of Php5,000, will the mean change? By how much?8. The average income of five teachers is Php15,000. If one teacher is promoted and given a raise of Php5,000, will the mean change? By how much?

The mean will change

It will

Change by Php1000

Step-by-step explanation:

In this, we are asked to calculate and give the value if when the Salary of one of 5 teachers is increased,

Before now, how do we know the total ages of the kings. What we do is simply multiply the kings' average ages by their number and that is; 15,000 * 5 = Php75,000

Now, having a raise of 5,000M by one of the teachers, will the mean change?

Now let's see. First we add the total old value to the increment. That would be 75,000 + 5,000 = 80,000/5 = 16,000

Now by how much did this mean value change? You simply subtract the old value from the new = 16,000 - 15,000 = 1,000

There will be a change in the mean.

There will be a difference of Php1000

Step-by-step explanation:

Average is the Same as mean and it implies total number of the income of the teachers divided by the individual number of those teachers whose income is involved.

Let Y be the total number of the teachers income.

Average of the 5 teachers income is Php15000

~ Y/5 = 15000

Y = 15000*5

Y=75000

But since one of the teachers were promoted and received an increase of Php5000

(New) Total amount of money earned by the teachers will then be 75000+5000 = 80000

The average of their income will be

80000/5 = 16000

Therefore, the difference is 16000-15000 = Php1000