Twenty-five people are asked to donate money to a local charity.Exactly fifteen (15) give at least P100 each. If x is the average (arithmetic mean) amount donate, what is the lowest possible value of x?
avgDonation...including those who gave zero...= 1500+/25 and that will be the lowest average.
To find the lowest possible value of the average amount donated (x), we need to consider the scenario that minimizes the average.
Given that 15 people donated at least P100 each, that means there are 10 people who donated an amount less than P100 (since there are a total of 25 people in this scenario).
Let's assume these 10 people donated the minimum possible amount, which is P1 each. By doing so, we would minimize their contribution to the average donation.
Now, let's calculate the average amount donated (x):
Total amount donated by the 15 people who donated at least P100: 15 * P100 = P1500
Total amount donated by the 10 people who donated P1 each: 10 * P1 = P10
Total amount donated by all 25 people: P1500 + P10 = P1510
Average amount donated (x) = Total amount donated / Total number of people
= P1510 / 25
= P60.4
Therefore, the lowest possible value of x (the average amount donated) is P60.4.