In a weighted average calculation, given classes and weights, what is the outcome of (14x8) + (15x7) + (16x3) + (17x2) divided by total weights?

To determine the correct outcome of the weighted average calculation presented in the question, we first need to perform the mathematical operation as specified. The core idea of a weighted average is to multiply each class value by its respective weight, sum those products, and then divide by the sum of the weights.

In this case, the classes and weights are:

• Class 14 with weight 8

• Class 15 with weight 7

• Class 16 with weight 3

• Class 17 with weight 2

First, we calculate the products of the classes and their respective weights:

• ( 14 \times 8 = 112 )

• ( 15 \times 7 = 105 )

• ( 16 \times 3 = 48 )

• ( 17 \times 2 = 34 )

Next, we sum these individual products:

( 112 + 105 + 48 + 34 = 299 )

Then, we need to calculate the total weights:

( 8 + 7 + 3 + 2 = 20 )

Now, we can find the weighted average by dividing the total sum of the products by the total weights:

( \frac{299}{20