Math Problem Statement
What is the formula and explanation of the weighted mean calculation?
Solution
The formula shown in the image is:
Explanation:
This formula represents the calculation of the weighted mean (or weighted average), where:
- represents the individual values.
- represents the weights associated with each .
- is the sum of the products of values and their respective weights.
- is the sum of all weights.
The weighted mean gives more importance to some values based on their associated weights.
Would you like a detailed breakdown of this formula or an example? Here are some related questions you might find helpful:
- What is the significance of using a weighted mean versus a regular mean?
- How do you choose the weights for each value ?
- Can this formula be applied to non-numeric datasets?
- How does changing the weights affect the value of the weighted mean?
- What are some real-world applications of the weighted mean?
Tip: Weighted means are useful when different data points contribute unequally to the final average, like calculating the average grade with different assignment weights.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Weighted Mean
Averages
Formulas
Mp = (Σ(x_i × w_i)) / Σ(w_i)
Theorems
Weighted Mean Theorem
Suitable Grade Level
Grades 9-12