توضیح 1
Each value contributes according to its weight.
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درس 11 از 15
Calculate weighted averages after validating whether weights represent shares, frequencies, or importance.
Theory
Calculate weighted averages after validating whether weights represent shares, frequencies, or importance. The examples in this lesson use fictional STATLAB Academy business data and independently written explanations.
توضیح 1
Each value contributes according to its weight.
توضیح 2
Weights may be normalized when appropriate.
توضیح 3
Weighted and simple means answer different questions.
نمادگذاری و فرمولها
x-bar_w = sum(w_i x_i) / sum(w_i)
Calculate weighted averages after validating whether weights represent shares, frequencies, or importance.
فعالیت تعاملی
| Category | Value | Weight % | Contribution |
|---|---|---|---|
| Quiz | 16.40 | ||
| Assignment | 26.40 | ||
| Project | 45.50 |
Weight total
100.0%
Valid total
Weighted mean
88.30
Simple mean
87.00
ارتباط با R
Run and edit the code, inspect printed output, and use the movable R Code Guide for line-by-line help.
Live R Lab
Validate weights and estimate mean and standard deviation from grouped frequencies.
Ready to run
مثال حلشده
سناریو
A fictional training organization needs to use weighted means to support an operational decision.
The best summary is the one that fits the question, data structure, units, and distribution.
Interpretation safeguard
Do not assume percentages sum correctly; validate or normalize with a clear explanation.
Dataset provenance
Original synthetic data generated for STATLAB Academy. No textbook data used.
بازاندیشی
Name the question, data structure, units, chosen method, and one limitation.
دستیار
Coach me through Weighted Means without giving direct quiz answers or writing my final report. Ask me to justify assumptions, units, and interpretation.