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此计算器目前以英文显示，翻译正在准备中。

统计与概率

已验证计算器，公式透明

统计与概率

Deviation Score Calculator.

Calculates the deviation score of a data point from the mean, showing how far and in which direction it lies.

结果随输入实时更新。
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您的输入

工作原理

  1. 1

    Enter the data point value (X).

  2. 2

    Enter the mean (μ) of the dataset.

  3. 3

    Subtract the mean from the data point.

  4. 4

    The result is the deviation score; positive means above the mean, negative means below.

data_point - mean

常见问题

What does a positive deviation score mean?

A positive deviation score indicates the data point is above the mean.

What does a negative deviation score mean?

A negative deviation score indicates the data point is below the mean.

What if the deviation score is zero?

A deviation score of zero means the data point equals the mean exactly.

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结果

公式已检查

Deviation Score

15

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估算仅供参考——重要决策请咨询专业人士。

工作原理

Calculates the deviation score of a data point from the mean, showing how far and in which direction it lies.

  1. Enter the data point value (X).
  2. Enter the mean (μ) of the dataset.
  3. Subtract the mean from the data point.
  4. The result is the deviation score; positive means above the mean, negative means below.

公式

此计算器背后的数学公式，供您核对结果。

Deviation Score

Deviation = X - μ

The deviation score measures the distance of a single data point from the mean of a dataset.

Example:

Input: X = 85, μ = 70

Calculation: 85 - 70

Result: 15

实际应用场景

此计算在日常生活中的应用。

Understanding individual performance

Compare a student's test score to the class average to see how far above or below they performed.

Example: Score 85 vs class mean 70 gives +15.

Quality control

Check if a measurement deviates from the target value in manufacturing processes.

Example: Measured 50 vs target 60 gives -10.

Data analysis

Quickly assess how unusual a data point is relative to the central tendency.

Example: A deviation of 0 means the point is exactly average.

提示与常见错误

Tips

  • Use the deviation score to see the direction of difference, not just the magnitude.
  • Combine deviation scores with standard deviation to understand relative standing.
  • Remember that deviation scores sum to zero across all data points in a dataset.

Common Mistakes to Avoid

  • Forgetting to subtract the mean from the data point (order matters).
  • Confusing deviation score with absolute deviation; the sign is important.
  • Using the population mean when only a sample mean is available.

假设与限制

  • Use the stated inputs and units.
  • Results are estimates for planning and education.
  • Check measurements and source data before making an important decision.