# Trimmed Mean Calculator

## Introduction

The trimmed mean calculator is a statistical tool used to calculate the average value of a set of data after a certain percentage of outliers have been removed. This calculation is useful for finding the average value of a set of data that may be skewed by extreme values.

## Formula

The formula for calculating the trimmed mean is:

Trimmed mean = (sum of values – sum of highest x% and lowest x% of values) / (total number of values – 2 x (number of values removed))

The highest x% and lowest x% of values are removed before calculating the average, where x is the percentage of values to be removed. The remaining values are then averaged to find the trimmed mean.

## How to use Trimmed Mean Calculator

To use the trimmed mean calculator, enter the set of data and the percentage of values to be removed. The calculator will then provide you with the trimmed mean.

## Examples

1. A researcher is studying the weight of a population of fruit flies. She measures the weight of 100 fruit flies and finds that the average weight is 0.5 milligrams. However, she suspects that there may be outliers in her data. She decides to remove the highest and lowest 10% of values and calculates the trimmed mean using the calculator. The trimmed mean is 0.47 milligrams.
2. An analyst is studying the salaries of employees at a company. She collects data on 200 employees and finds that the average salary is \$50,000. However, she knows that there are a few very high salaries that are skewing her data. She decides to remove the top and bottom 5% of salaries and calculates the trimmed mean using the calculator. The trimmed mean is \$45,000.

## Conclusion

The trimmed mean calculator is a useful tool for finding the average value of a set of data after a certain percentage of outliers have been removed. This calculation is useful for finding the true average value of a set of data that may be skewed by extreme values. By using this calculator, researchers and analysts can make more accurate and informed decisions.

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