Expression for Average Number of Tickets Sold per School Child and 8th Harmonic Number
What is the formula for calculating the average number of tickets sold per school child?
Calculate the 8th harmonic number using the given formula.
Formula for Average Number of Tickets Sold per School Child:
The expression for the average number of tickets sold per school child is calculated by dividing the total number of tickets sold by the total number of children. The formula is:
(tickets1 + tickets2 + tickets3) / (class1 + class2 + class3)
Calculation of 8th Harmonic Number:
The 8th harmonic number is calculated using the formula for harmonic numbers. By summing up the reciprocals of integers from 1 to 8, we get:
H8 = 1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 = 2.717
To find the average number of tickets sold per school child, we use the formula where we add up the number of tickets sold by each class and divide it by the total number of children in all classes. This gives us a fair representation of how many tickets each student is responsible for selling.
For the 8th harmonic number, we utilize the formula for harmonic numbers which involves summing up the reciprocals of integers from 1 to the desired number. In this case, we calculated the 8th harmonic number to be approximately 2.717.
These calculations are essential for understanding distribution and averages in a given dataset, providing insights into the performance and participation levels of students in ticket sales.