Statistics 简明教程
Statistics - Grand Mean
当样本量相等时,换句话说,每个样本中可能有五个值,或每个样本中有 n 个值。总平均值与样本平均值的平均值相同。
When sample sizes are equal, in other words, there could be five values in each sample, or n values in each sample. The grand mean is the same as the mean of sample means.
Formula
其中——
Where −
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${N}$ = Total number of sets.
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${\sum x}$ = sum of the mean of all sets.
Example
Problem Statement:
Problem Statement:
确定每个组或组样本的平均值。使用以下数据作为样本以确定平均值和总平均值。
Determine the mean of each group or set’s samples. Use the following data as a sample to determine the mean and grand mean.
Jackson |
1 |
6 |
7 |
10 |
4 |
Thomas |
5 |
2 |
8 |
14 |
6 |
Garrard |
8 |
2 |
9 |
12 |
7 |
Solution:
Solution:
步骤 1:计算所有均值
Step 1: Compute all means
步骤 2:将总和除以组数以确定总均值。在示例中,共有三个组。
Step 2: Divide the total by the number of groups to determine the grand mean. In the sample, there are three groups.