Question

Find the weighted mean of 12, 23, 27, 59, 74 given the first two each have a weight of 14% and the last three each have a weight of 8.7%. Round to the tenths if needed.

Answer 1

The weighted mean of the numbers 12, 23, 27, 59, 74 with given weights is 34.6 after performing the multiplication of each number by its weight, adding the results, and dividing by the sum of the weights.

Step-by-step explanation:

To find the weighted mean of the numbers 12, 23, 27, 59, 74 with the given weights of 14% for the first two numbers and 8.7% for the last three, you follow these steps:

1. 
   
3. Multiply each number by its respective weight.
4. 
   
6. Add the products from step 1 to get the sum of the weighted numbers.
7. 
   
9. Divide by the sum of the weights to get the weighted mean.

Using these steps, the calculation will look like this:

((12 × 0.14) + (23 × 0.14) + (27 × 0.087) + (59 × 0.087) + (74 × 0.087)) ÷ (0.14 + 0.14 + 0.087 + 0.087 + 0.087) = Weighted Mean

Now performing the calculation:

((1.68 + 3.22 + 2.349 + 5.133 + 6.438)) ÷ (0.544) = 18.819 ÷ 0.544

The weighted mean, rounded to the tenth, is:

34.6