Calculate the 5% Trimmed Mean for the number set (8.2, 4.6, 4.0, 3.8,

Publish date: 2024-05-08
Image to Crop Calculate the 5% trimmed mean for the number set (8.2,4.6,4.0,3.8,3.7,3.6,3.5,3.4,3.2,3.2,3.2,3.2,3.1,3.1,3.0,1.8,1.5,1.3,1.2,1.1,0.0,0.0,0.0,0.0,0.0)

Calculate g:

g = Round(Trimmed Mean Percent x Sample Size)
g = Round(0.05 x 25)
g = Round(1.25)
g = 1

Therefore, we remove the bottom 1 and the top 1 number from our number set
0.0,0.0,0.0,0.0,0.0,1.1,1.2,1.3,1.5,1.8,3.0,3.1,3.1,3.2,3.2,3.2,3.2,3.4,3.5,3.6,3.7,3.8,4.0,4.6,8.2
0.0,0.0,0.0,0.0,1.1,1.2,1.3,1.5,1.8,3.0,3.1,3.1,3.2,3.2,3.2,3.2,3.4,3.5,3.6,3.7,3.8,4.0,4.6

Calculate the Trimmed Mean denoted as μ

μ  =  Sum of your number Set
  Total Numbers Entered

μ  =  ΣXi
  n

μ  =  0.0 + 0.0 + 0.0 + 0.0 + 1.1 + 1.2 + 1.3 + 1.5 + 1.8 + 3.0 + 3.1 + 3.1 + 3.2 + 3.2 + 3.2 + 3.2 + 3.4 + 3.5 + 3.6 + 3.7 + 3.8 + 4.0 + 4.6
  23

μ  =  55.5
  23

μ = 2.4130434782609


What is the Answer?

μ = 2.4130434782609

How does the Trimmed Mean and Winsorized Mean Calculator work?

Free Trimmed Mean and Winsorized Mean Calculator - Given a number set and a trimmed mean percentage, this will calculate the trimmed mean (truncated mean) or winsorized mean.
This calculator has 2 inputs.

What 3 formulas are used for the Trimmed Mean and Winsorized Mean Calculator?

g = Round(Trimmed Mean Percent x Sample Size)
Remove the top and bottom g entries from the data set
Outlier Remove = n% * Number of entries

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Trimmed Mean and Winsorized Mean Calculator?

meanA statistical measurement also known as the averagemeanA statistical measurement also known as the averagetrimmed meanCalculate the mean by removing the highest and lowest x% of valueswinsorized meanAn average of a number set computed by removing a certain percent of outlier values from the low end and high end of the number set

Trimmed Mean and Winsorized Mean Calculator Video


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