# STANDARDIZE

The STANDARDIZE function is used to normalize a given value by adjusting it based on the mean and standard deviation of a distribution. This function is commonly used in statistics to standardize data points and compare them on a common scale.

## Syntax ๐

=STANDARDIZE(`x`

, `mean`

, `standard_dev`

)

`x` | The value you want to standardize. |

`mean` | The arithmetic mean of the distribution. |

`standard_dev` | The standard deviation of the distribution. |

## About STANDARDIZE ๐

When dealing with data sets and striving for a fair comparison amongst diverse values, entrust the STANDARDIZE function in Excel to the task. It emerges as a reliable ally for normalizing data points, ensuring they align harmoniously on a standardized scale. Primarily employed in statistical analyses, STANDARDIZE steps forward as a pivotal tool for exploring and interpreting data with precision and clarity. By transforming raw values into standardized units relative to the mean and standard deviation of a distribution, this function facilitates the assessment of individual data points within the broader context of the dataset's characteristics. Embrace the versatility of STANDARDIZE as it empowers you to standardize varied data points effectively and foster insightful comparisons devoid of scale distortions.

## Examples ๐

Suppose you have a data set with values [75, 85, 90, 65, 80], and you want to standardize the value 90 using the mean of 79 and standard deviation of 8. The STANDARDIZE formula would be: =STANDARDIZE(90, 79, 8) This will provide you with the standardized value of 0.625 for 90 within the distribution.

Consider a set of values [20, 40, 60, 80, 100] and you aim to standardize the value 40 based on a mean of 60 and a standard deviation of 25. The STANDARDIZE formula to utilize in Excel would be: =STANDARDIZE(40, 60, 25) This computation yields a standardized value of -0.8 for 40 in relation to the distribution.

## Notes ๐

The inputs for the STANDARDIZE function should adhere to the statistical principles of mean and standard deviation. Ensure the values provided for mean and standard deviation accurately represent the distribution from which the value to be standardized is extracted.

## Questions ๐

**How does the STANDARDIZE function normalize a value?**

The STANDARDIZE function normalizes a value by subtracting the mean of the distribution from the value and then dividing the result by the standard deviation. This process transforms the value into a standard score representing its position relative to the mean in terms of standard deviations.

**Can the STANDARDIZE function handle negative standard deviations?**

Yes, the STANDARDIZE function can handle negative standard deviations. A negative standard deviation indicates that the value being standardized is below the mean of the distribution, reflecting its position in the context of the overall dataset.

**In what scenarios is the STANDARDIZE function particularly useful?**

The STANDARDIZE function proves particularly useful when comparing values from different distributions or datasets that possess varying means and standard deviations. By standardizing the values, it enables fair and accurate comparisons by putting them on a common scale.

## Related functions ๐

NORM.S.DIST

NORM.DIST

Z.TEST

CONFIDENCE.NORM

PERCENTILE

PERCENTRANK

STDEVP

TRIMMEAN