Varians Persentase Kalkulator

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What Is Percentage Variance?

"Percentage variance" means two different things depending on who is asking. In statistics it usually means the spread of a data set expressed as a percentage of its mean, which is the coefficient of variation: a value of 5% means the standard deviation is 5% of the average. In budgeting and finance it means how far an actual figure is from a planned one, as a percentage of the plan. The calculator above computes the first. Both are explained below with worked examples. The data-set examples use the sample standard deviation.

Formula

The two meanings use different formulas:

Spread of a Data Set (CV)

CV% = (√variance / mean) × 100
  • CV%Spread as a percentage of the mean
  • √varianceStandard deviation
  • meanArithmetic average of the data

Actual vs Planned (Budget Variance)

% variance = (Actual − Planned) / Planned × 100
  • ActualThe figure that happened
  • PlannedThe budget, forecast or target

How to Calculate Percentage Variance Step by Step

  1. Compute the mean.Add all values and divide by the count.
  2. Compute the variance.Average the squared deviations from the mean (n − 1 for a sample).
  3. Take the square root.This gives the standard deviation.
  4. Divide by the mean.Compute SD / mean.
  5. Multiply by 100.Express the result as a percentage.

Percentage Variance Examples

1Weekly Sales ($K)

Data:120, 135, 110, 128, 142
Solution:Mean = 127. SD ≈ 12.53. CV = 12.53 / 127 × 100.
Answer:Percentage variance ≈ 9.87%

2Units Produced per Hour

Data:45, 50, 48, 52, 47, 49
Solution:Mean = 48.5. SD ≈ 2.43. CV = 2.43 / 48.5 × 100.
Answer:Percentage variance ≈ 5.01%

3Website Load Times (seconds)

Data:2.1, 3.5, 1.8, 2.9, 4.2, 2.3
Solution:Mean = 2.8. SD ≈ 0.92. CV = 0.92 / 2.8 × 100.
Answer:Percentage variance ≈ 32.7%

4Blood Pressure Readings (mmHg)

Data:120, 118, 122, 119, 121
Solution:Mean = 120. SD ≈ 1.58. CV = 1.58 / 120 × 100.
Answer:Percentage variance ≈ 1.32%

5Budget vs Actual Spending

Data:Budget: $50,000 → Actual: $53,500
Solution:% variance = (53,500 − 50,000) / 50,000 × 100.
Answer:Percentage variance = +7.0% over budget

How to Use This Percentage Variance Calculator

For the spread of a data set:

  1. Enter your values separated by commas, spaces or line breaks.
  2. Choose Sample or Population; the percentage uses the matching standard deviation.
  3. Read the "Coeff. of Variation" result: that is the spread as a percentage of the mean.
  4. For an actual-vs-planned figure, use the second formula above: (actual − planned) / planned × 100.

What the Calculator Shows You

  • The spread as a percentage, together with the variance and standard deviation it comes from.
  • Sample and population versions.
  • The full working, so you can check a spreadsheet or a report.
  • Calculations run in your browser; your numbers are not sent anywhere.

Where Percentage Variance Is Used

Budgeting

Comparing actual spending or revenue with the budget.

Project management

Cost and schedule variance as a percentage of the baseline plan.

Sales forecasting

How far actual sales landed from the forecast.

Operations

How consistent delivery times or output rates are relative to their average.

Healthcare

How much repeated readings vary relative to their average.

Reporting Percentage Variance Clearly

A percentage on its own can be ambiguous. These habits make it clear:

Say what it is a percentage of

A "7% variance" means nothing until you say whether it is relative to the budget, the forecast, last year or the mean of the data.

Include the direction

+7% on costs and −7% on revenue are both bad news, but for different reasons. Keep the sign.

Agree thresholds in advance

For example, "any variance beyond ±5% is reviewed". This turns a number into an action.

Weight when combining groups

Department A spent $1M at +3% and Department B spent $100K at +20%. The overall variance is (30,000 + 20,000) / 1,100,000 ≈ +4.5%, not the simple average of 11.5%.

Show the trend

One period's variance is a snapshot. A run of periods shows whether things are improving.

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Pertanyaan yang Sering Diajukan: Varians Persentase Kalkulator

Semua yang perlu Anda ketahui tentang varians.

Berapa persentase varians?

Persentase varians dapat mengacu pada dua hal: 1. koefisien variasi (CV) — menyatakan deviasi standar sebagai persentase mean: CV = (SD / mean) × 100%. 2. persen perubahan antara dua nilai: % perubahan = [(baru − lama) / lama] × 100%. Kalkulator kami menghitung CV untuk menyatakan keseluruhan penyebaran data dalam persentase.

Bagaimana cara menghitung varians sebagai persentase?

Untuk menyatakan varians dalam persentase, gunakan koefisien variasi: CV = (√variance / mean) × 100%. Langkah-langkahnya: 1. Hitung variansnya. 2. Ambil akar kuadratnya (= simpangan baku). 3. Bagilah dengan mean. 4. Kalikan dengan 100%. Contoh: varians = 25, mean = 50 → SD = 5 → CV = (5/50) × 100% = 10%.

Berapa persentase varians yang baik?

Itu tergantung pada konteksnya. Di manufaktur: < 5% sangat baik, 5–10% dapat diterima. Dalam perkiraan keuangan: < 10% menunjukkan prediksi yang andal. Dalam eksperimen ilmiah: < 15% menunjukkan kemampuan reproduksi yang baik. Dalam analisis anggaran: selisih <5% dari angka yang direncanakan biasanya dianggap dikelola dengan baik. Varians persentase yang lebih tinggi menunjukkan semakin banyak ketidakpastian.

Bagaimana persentase varians digunakan dalam keuangan?

Di bidang keuangan, persentase varians (CV) membandingkan pengembalian yang disesuaikan dengan risiko di seluruh investasi. Saham dengan return rata-rata 15% dan CV 10% lebih konsisten dibandingkan saham dengan return 20% dan CV 25%. Analisis varians anggaran menggunakan perbedaan persentase: [(aktual − anggaran) / anggaran] × 100% untuk melacak penyimpangan pengeluaran. Kedua aplikasi tersebut menormalkan variabilitas untuk perbandingan yang bermakna.

Apa perbedaan antara persentase varians dan persen perubahan?

Persentase varians (CV) mengukur seberapa tersebar suatu kumpulan data relatif terhadap rata-ratanya — ini menggambarkan keseluruhan distribusi. Persen perubahan membandingkan dua nilai spesifik: [(baru − lama) / lama] × 100%. Varians persentase menggunakan deviasi standar dan rata-rata semua titik data; perubahan persen hanya membutuhkan dua angka. Mereka menjawab pertanyaan yang berbeda.

Bisakah persentase varians melebihi 100%?

Ya. Jika deviasi standar melebihi rata-rata, CV melebihi 100%. Hal ini menunjukkan variabilitas relatif yang sangat tinggi. Hal ini biasa terjadi pada kumpulan data dengan banyak angka nol, distribusi yang sangat miring (seperti pendapatan), atau data dengan outlier yang ekstrim. CV > 100% menandakan bahwa deviasi "tipikal" dari mean lebih besar daripada mean itu sendiri.

How do you calculate the percent variance of a data set?

For {10, 12, 14, 8, 16}: mean = 60 / 5 = 12. Deviations: −2, 0, 2, −4, 4. Squared: 4, 0, 4, 16, 16, sum = 40. Population SD = √(40 / 5) = √8 ≈ 2.828, so CV = 2.828 / 12 × 100% ≈ 23.6%. Using the sample SD (√(40 / 4) = √10 ≈ 3.162) gives ≈ 26.4%.

What is the formula for percent variance between two numbers?

If B is the baseline (planned, previous or expected value) and A is the actual value: % variance = (A − B) / B × 100%. For a budget of 50,000 and actual spending of 53,500, that is 3,500 / 50,000 × 100% = +7%. If neither number is a baseline, the percent difference uses their average instead: |A − B| / ((A + B) / 2) × 100%.