Calculate the weighted mean of the following data: (2, 3), (4, 5), (6, 7) where

Calculate the weighted mean of the following data: (2, 3), (4, 5), (6, 7) where the first number is the weight.

Calculate the weighted mean of the following data: (2, 3), (4, 5), (6, 7) where the first number is the weight.

Step 1: Identify the pairs of numbers. The pairs are (2, 3), (4, 5), and (6, 7).
Step 2: Recognize that the first number in each pair is the weight and the second number is the value.
Step 3: Multiply each weight by its corresponding value: 2*3, 4*5, and 6*7.
Step 4: Calculate the products: 2*3 = 6, 4*5 = 20, and 6*7 = 42.
Step 5: Add the products together: 6 + 20 + 42 = 68.
Step 6: Add the weights together: 2 + 4 + 6 = 12.
Step 7: Divide the total of the products by the total of the weights: 68 / 12.
Step 8: Calculate the result: 68 / 12 = 5.67.

Weighted Mean – The weighted mean is calculated by multiplying each value by its corresponding weight, summing these products, and then dividing by the total of the weights.
Data Interpretation – Understanding how to interpret pairs of numbers where the first number represents the weight and the second number represents the value.