# How low is a low standard deviation?

## How low is a low standard deviation?

For an approximate answer, please estimate your coefficient of variation (CV=**standard deviation** / mean). As a rule of thumb, a CV >= 1 indicates a relatively high variation, while a CV < 1 can be considered **low**.

## How do you interpret a low standard deviation?

A **low standard deviation** indicates that the data points tend to be very close to the mean; a high **standard deviation** indicates that the data points are spread out over a large range of values. A useful property of **standard deviation** is that, unlike variance, it is expressed in the same units as the data.

## Is a lower standard deviation better?

**Standard deviation** is a mathematical tool to help us assess how far the values are spread above and below the mean. A high **standard deviation** shows that the data is widely spread (less reliable) and a **low standard deviation** shows that the data are clustered closely around the mean (more reliable).

## What standard deviation is acceptable?

Statisticians have determined that values no greater than plus or minus 2 **SD** represent measurements that are more closely near the true value than those that fall in the area greater than ± 2SD. Thus, most QC programs call for action should data routinely fall outside of the ±2SD range.

## What does a standard deviation of less than 1 mean?

A **low standard deviation** indicates that the values tend to be close to the **mean** (also called the expected value) of the set, while a high **standard deviation** indicates that the values are spread out over a wider range.

## How do you find standard deviation in statistics?

- The
**standard deviation formula**may look confusing, but it will make sense after we break it down. ... - Step 1: Find the mean.
- Step 2: For each data point, find the square of its distance to the mean.
- Step 3: Sum the values from Step 2.
- Step 4: Divide by the number of data points.
- Step 5: Take the square root.

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