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10 Trimmed Mean Calculator Online

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The 10 Trimmed Mean Calculator is a statistical tool used to analyze a set of data by eliminating extreme values. It computes the trimmed mean by excluding a specified percentage of the lowest and highest values, providing a more robust measure of central tendency than the traditional mean.

Formula of 10 Trimmed Mean Calculator

The formula for the Trimmed Mean is straightforward:

Trimmed Mean = (Sum of data values after trimming) / (Number of data values after trimming)

In this formula:

  • "Sum of data values after trimming" refers to the sum of the data values after removing a specified percentage of the lowest and highest values.
  • "Number of data values after trimming" refers to the count of data values that remain after trimming.
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Table of General Terms

TermDescription
MeanThe arithmetic average of a set of numbers.
Trimmed MeanThe mean after excluding a certain percentage of extremes.
Central TendencyA statistical measure that represents the center of a data distribution.

This table provides a quick reference for users seeking clarification on statistical terms related to the 10 Trimmed Mean Calculator.

Example of 10 Trimmed Mean Calculator

Let's consider a dataset: 5, 8, 10, 12, 15, 20, 25, 30, 35, 40.

By trimming 10% of the lowest and highest values (1 value each), the calculation would involve excluding 5 and 40. Thus, the trimmed dataset becomes: 8, 10, 12, 15, 20, 25, 30, 35. The trimmed mean would then be calculated based on this subset of values.

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Most Common FAQs

Q: Why use the Trimmed Mean instead of the regular mean?

A: The Trimmed Mean is less affected by outliers or extreme values, providing a more robust measure of central tendency in datasets where such values may skew the results.

Q: What percentage should be trimmed?

A: The percentage you want to trim depends on the dataset and the degree of outliers present. Common values you can use are between 5% to 25%, but the choice should reflect the characteristics of the data you are analyzing.

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