Weighted Moving Average Calculator

Track trends with weighted averages. Compare values, visualize patterns, and export clean results. Make forecast decisions with clearer evidence today.

Result Summary

The calculated weighted moving average appears here after submission.

Weighted Moving Average
139.4667
Weighted Sum
2,092.0000
Total Weight
15.0000
Simple Average
135.0000
Latest Value
150.0000
Difference from Latest
-10.5333
Difference from Average
4.4667
Next Period Forecast
139.4667

Calculator Inputs

Enter numbers separated by commas, spaces, or new lines.
Use matching weight counts. Higher weights give stronger influence.
Optional labels such as weeks, months, or batch names.
Name the projected period shown in results.
Choose result precision for display and export.
Normalization converts weights into proportions that sum to one.

Detailed Results Table

Period Value Raw Weight Effective Weight Weighted Product
Jan 120.0000 1.0000 1.0000 120.0000
Feb 135.0000 2.0000 2.0000 270.0000
Mar 128.0000 3.0000 3.0000 384.0000
Apr 142.0000 4.0000 4.0000 568.0000
May 150.0000 5.0000 5.0000 750.0000
Totals 15.0000 2,092.0000

Plotly Graph

The chart compares values, weights, and the weighted moving average reference line.

Example Data Table

Period Observed Value Assigned Weight Weighted Product
Jan 120 1 120
Feb 135 2 270
Mar 128 3 384
Apr 142 4 568
May 150 5 750
Total 675 15 2,092

For this example, weighted moving average = 2,092 ÷ 15 = 139.4667.

Formula Used

Weighted Moving Average:

WMA = (Σ(Value × Weight)) ÷ (ΣWeight)

Normalized form:

WMA = Σ(Value × Normalized Weight), where Normalized Weight = Weight ÷ ΣWeight

A weighted moving average gives more influence to selected observations. Analysts usually assign larger weights to newer values when recent performance matters more than older data.

This method is useful for demand planning, revenue tracking, operational monitoring, and trend smoothing where simple averages react too slowly or ignore business priorities.

How to Use This Calculator

  1. Enter the data values in chronological order.
  2. Enter one weight for each value.
  3. Add matching labels if you want named periods.
  4. Choose decimal precision for displayed results.
  5. Enable normalization if you want proportional weights.
  6. Click the calculate button to generate results.
  7. Review the summary cards, table, and graph.
  8. Download CSV or PDF for reporting and sharing.

Frequently Asked Questions

1. What does a weighted moving average measure?

It measures the average of a sequence while giving different importance to each value. Higher weights push the result closer to selected periods, often the most recent observations.

2. Why use weights instead of a simple average?

A simple average treats every point equally. Weighted averages help when recent data, premium customers, high-volume items, or priority events should influence the trend more strongly.

3. Do the weights need to add up to one?

No. Raw weights can be any non-negative values. The calculator divides by total weight automatically, or it can normalize them into proportions when that option is selected.

4. Can I use decimal values and decimal weights?

Yes. The calculator accepts integers and decimals for both values and weights. This helps with ratios, rates, costs, percentages, and scaled scoring models.

5. What happens if one weight is zero?

That data point stays in the list but contributes nothing to the weighted result. Zero weights are useful when you want to exclude a value without deleting it.

6. Is the weighted moving average good for forecasting?

Yes, especially for short-term forecasting. It works well when recent observations contain more relevant information than older ones, but results still depend on sensible weight choices.

7. How should I choose my weights?

Choose weights based on business logic. Recent months might get higher weights, top-priority segments may receive extra influence, or stable periods can be weighted more evenly.

8. What are common use cases for this calculator?

Common uses include sales forecasting, demand planning, service levels, inventory movement, quality scoring, KPI monitoring, financial trend analysis, and analytics dashboards.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.