Find the weighted mean of the numbers 10, 20, and 30 with weights 1, 2, and 3 re

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Question: Find the weighted mean of the numbers 10, 20, and 30 with weights 1, 2, and 3 respectively.

Options:

Correct Answer: 25

Solution:

Weighted mean = (10*1 + 20*2 + 30*3) / (1 + 2 + 3) = (10 + 40 + 90) / 6 = 140 / 6 = 23.33.

Find the weighted mean of the numbers 10, 20, and 30 with weights 1, 2, and 3 respectively.

Find the weighted mean of the numbers 10, 20, and 30 with weights 1, 2, and 3 respectively.

Correct Answer: 23.33

Step 1: Identify the numbers and their corresponding weights. The numbers are 10, 20, and 30, and their weights are 1, 2, and 3.
Step 2: Multiply each number by its weight. Calculate 10 * 1, 20 * 2, and 30 * 3.
Step 3: Add the results of the multiplications together. This means adding 10, 40, and 90.
Step 4: Calculate the total of the weights. Add 1, 2, and 3 together.
Step 5: Divide the total from Step 3 by the total from Step 4 to find the weighted mean.

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.
Arithmetic Operations – Understanding how to perform basic arithmetic operations such as multiplication, addition, and division is essential for calculating the weighted mean.