# Truncated Normal Distribution

**Truncated Normal Statistical Distribution**

**General Characteristics**

- Truncated Normal Distribution is derived from a normally distributed random variable, by bounding the random variable from either below, above or both.

- Truncations can be either; one-sided of lower tail truncation, one-sided of upper tail truncation or two-sided truncation.

**Specific Characteristics**

**Key Measures:
**

Mean, Standard Deviation (SD), Lower Limit, Upper Limit

**Range of values:**

lower limit <= x < ∞ (if the lower limit is specified),

-∞ < x <= upper limit (if the upper limit is specified) &

lower limit <= x <= upper limit (if both limits are specified)

**Mean:**

Mean = mean

**Standard Deviation, SD:**

SD = sd

**Application**

Truncated Normal distributions can be used to find errors in dimensions of components, like its ‘parent’ distribution – Normal distribution, but avoids the Normal distribution problem of extreme values, especially negative values.

**Truncated Normal Statistical Distribution – Statistical Distributions**

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