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Kalkulator Standar Deviasi : Standar Deviasi Sampel (s) & Populasi (σ)

Ukur tingkat penyebaran data statistik terhadap nilai rata-rata hitungnya secara akurat.

Interactive Calculator

100% Client-Side Engine
Sample Standard Deviation (s, N - 1)
5,2372
Used when analyzing a sample from a larger population.
Population Standard Deviation (σ, N)
4,899
Used when analyzing the entire dataset/population.
Mean (x̄)
18
Sample Variance (s²)
27,4286
Population Variance (σ²)
24
Sum of Squares (SS)
192
Step-by-Step Variance and Deviation
1. Calculate Mean (μ or x̄): Σx / N = 144 / 8 = 18
2. Calculate Deviations from Mean (x - x̄) and square each result
3. Sum of Squared Deviations (SS): Σ(x - x̄)² = 192
4. Population Variance (σ²): SS / N = 192 / 8 = 24
5. Population Standard Deviation (σ): √(σ²) = √(24) = 4.899
6. Sample Variance (s²): SS / (n - 1) = 192 / (8 - 1) = 27.4286
7. Sample Standard Deviation (s): √(s²) = √(27.4286) = 5.2372

Step-by-Step Examples

Analisis 8 Data Angka

Data: 10, 12, 23, 23, 16, 23, 21, 16

Inputs: Data: 10, 12, 23, 23, 16, 23, 21, 16
Result: Sampel s = 5.2372, Populasi σ = 4.8989

Rata-rata = 18.00. Jumlah kuadrat deviasi SS = 192.00.

How to Use This Tool

  1. Masukkan angka-angka yang dipisahkan koma atau spasi.
  2. Klik Hitung.
  3. Lihat nilai standar deviasi sampel, populasi, dan varians.

Frequently Asked Questions

Gunakan saat data yang dihitung merupakan sampel bagian dari keseluruhan populasi.