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##### Asked by: Rema Kustenbruck

business and finance business operations# What does a standard deviation of 1 mean?

Last Updated: 8th February, 2020

**1standarddeviation**of the

**mean can**be considered fairlycommonand expected. Essentially it tells you that data isnotexceptionally high or exceptionally low. A good example would betolook at the normal distribution (this is not the onlypossibledistribution though).

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Hereof, what is a standard deviation of 1?

A normal distribution with a mean of 0 and a**standarddeviation of 1** is called a **standard** normaldistribution.Since the distribution has a mean of 0 and a**standard deviationof 1**, the Z column is equal to the numberof **standarddeviations** below (or above) themean.

Similarly, what is standard deviation of the mean? The **standard deviation** (SD) measures the amountofvariability, or dispersion, for a subject set of data fromthe**mean**, while the **standard** error of the**mean**(SEM) measures how far the sample **mean** of thedata is likelyto be from the true population **mean**. SD is thedispersion ofdata in a normal distribution.

Subsequently, one may also ask, what does a standard deviation less than 1 mean?

Popular Answers (**1**) This **means** that distributions with acoefficientof variation higher **than 1** are considered to behighvariance whereas those with a CV **lower than 1** areconsideredto be low-variance. Remember, **standard deviations**aren't"good" or "bad". They are indicators of how spread out yourdatais.

How much is one standard deviation from the mean?

If a data distribution is approximately normal thenabout68 percent of the data values are within **onestandarddeviation** of the **mean** (mathematically, μ±σ, where μ is the arithmetic **mean**), about95percent are within two **standard deviations** (μ±2σ), and about 99.7 percent lie within three**standarddeviations** (μ ± 3σ