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 EngineSample 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
- Masukkan angka-angka yang dipisahkan koma atau spasi.
- Klik Hitung.
- Lihat nilai standar deviasi sampel, populasi, dan varians.
Frequently Asked Questions
Gunakan saat data yang dihitung merupakan sampel bagian dari keseluruhan populasi.
Related Calculators & Tools
Explore complementary calculators in this category.
Kalkulator
Kalkulator Varians
Hitung varians sampel (s²), varians populasi (σ²), jumlah kuadrat selisih (SS), dan rata-rata data.
Verified Math0ms Latency
Kalkulator
Kalkulator Mean Median Modus
Hitung rata-rata (mean), nilai tengah (median), nilai paling sering muncul (modus), dan jangkauan data secara lengkap.
Verified Math0ms Latency
Kalkulator
Kalkulator Rata-Rata
Hitung rata-rata aritmatika (mean), median, modus, dan standar deviasi dari serangkaian angka.
Verified Math0ms Latency
Kalkulator
Kalkulator Peluang (Probabilitas)
Hitung peluang kejadian, komplemen, perbandingan peluang (odds), dan peluang gabungan dua kejadian.
Verified Math0ms Latency