Statistics 简明教程
Statistics - Trimmed Mean
修剪平均值是一种求平均值的方法，它在计算平均值之前删除一小部分最大值和最小值。
Trimmed Mean a method of averaging that removes a small percentage of the largest and smallest values before calculating the mean.
修剪平均值可以使用以下公式计算。
The Trimmed Mean can be calculated using the following formula.
Formula
其中——
Where −
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$\sum {X_i}$ = Sum of your Trimmed Set.
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${n}$ = Total Numbers in Trimmed set.
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${\mu}$ = Trimmed Mean.
Example
Problem Statement:
Problem Statement:
找出数字集 {8, 3, 7, 1, 3 和 9} 的 20% 修剪平均值。
Figure out the 20% trimmed mean for the number set {8, 3, 7, 1, 3, and 9}
Items |
14 |
36 |
45 |
70 |
105 |
让我们首先确定修剪检查的估计 (g)，其中 g 暗示了要从给定排列中修剪的品质数量。
Give us a chance to first ascertain the estimation of Trimmed check (g), where g alludes to number of qualities to be trimmed from the given arrangement.
g = Floor (Trimmed Mean Percent x Sample Size) g = Floor (0.2 x 6) g = Floor (1.2)
Trimmed check (g) = 1记录给定数字排列 {8, 3, 7, 1, 3, 9} 的升序，= 1, 3, 3,7,8,9
Record the given arrangement of numbers {8, 3, 7, 1, 3, 9} in rising request, = 1, 3, 3,7,8,9
由于修剪数量为 1，我们应该从最早的起点和终点驱逐一个数字。沿着这些线，我们从上面的数字排列中根除第一个数字 (1) 和最后一个数字 (9)，= 3, 3, 7, 8。现在可以计算修剪平均值：
As the trimmed tally is 1, we ought to expel one number from the earliest starting point and end. Along these lines, we uproot first number (1) and last number (9) from the above arrangement of numbers, = 3, 3, 7, 8.Now Trimmed mean can be computed as:
给定数字的修剪平均值为 5.25。
The Trimmed Mean of the given numbers is 5.25.