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Moving Average Calculator

Data (space/comma separated)
Window Size

✓चलित सरासरी

SMA (3-period)
11.67 → 13.33 → 14.00 → 15.00 → 16.00 → 17.00 → 18.00 → 19.00
Latest EMA
19.4297

What is Moving Average Calculator?

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A moving average smooths out short-term fluctuations in data by averaging values over a sliding window. Simple moving averages (SMA) and exponential moving averages (EMA) are core tools in financial analysis and signal processing.

Calkulon makes complex calculations simple — built for students and everyday problem-solvers.

सूत्र

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f(x)Simple MA_n = (x₁ + x₂ + ... + xₙ) / n; Exponential: EMA = α × xₜ + (1−α) × EMAₜ₋₁

Variable Legend

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प्रतीकनावएककवर्णन
x₁, x₂, ..., xₙdata points——
nwindow size (period)——
αsmoothing factor—for exponential moving average
MA_nmoving average——

How to Moving Average Calculator

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  1. 1SMA(n) = average of last n values
  2. 2EMA uses a weighting factor k = 2/(n+1)
  3. 3EMA(t) = value×k + EMA(t−1)×(1−k)
  4. 4EMA reacts faster to recent changes than SMA

Worked Examples

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Example 1
Given:Data: 10,12,14,13,15, window=3
परिणाम:SMA: —,—,12,13,14
Example 2
Given:EMA-3 same data
परिणाम:Puts more weight on recent values

Real-World Applications

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🏗️

Stock price analysis and trading

🔬

Weather and climate data smoothing

📊

Traffic flow analysis

🏥

Manufacturing quality control

⚙️

Sensor data filtering

SMA vs EMA Comparison

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FeatureSMAEMA
CalculationEqual weightsExponential weights
LagHigher lagLower lag
SensitivityLess sensitiveMore sensitive
Use caseLong-term trendsShort-term signals
ComplexitySimpleSlightly more complex

Frequently Asked Questions

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Q

What is the difference between simple and exponential moving average?

A

SMA: all n values weighted equally. EMA: recent values weighted more heavily, responsive to changes.

Q

How do I choose the window size n?

A

Larger n smooths more (less noise, less responsive). Smaller n is more responsive but noisier. Use domain knowledge.

Q

Is moving average used for forecasting?

A

MA smooths historical data and can suggest trends, but it's backward-looking. ARIMA and other methods forecast better.

Deep Dive

Read the full guide on how to use this calculator effectively

अधिक वाचा →
Formula-verified for precision
Reviewed October 2026
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