Statistics 简明教程

Individual Series Arithmetic Mean

当数据按个体基础给出时。以下是单个序列的示例 −

When data is given on individual basis. Following is an example of individual series −

Items

5

10

20

30

40

50

60

70

对于个体数列，可以使用以下公式计算算术平均值。

For individual series, the Arithmetic Mean can be calculated using the following formula.

Formula

或者，我们可以按以下方式编写相同的公式：−

Alternatively, we can write same formula as follows −

其中——

Where −

  1. $X_{1}, X_{2}, X_{3}, …​. X_{n}$ = individual observation of variable.

  2. $\sum {x}$ = sum of all observations of the variable

  3. ${N}$ = Number of observations

Example

Problem Statement −

Problem Statement −

计算以下个体数据的算术平均值——

Calculate Arithmetic Mean for the following individual data −

Items

14

36

45

70

105

Solution −

Solution −

根据上面提到的公式，算术平均值 $\bar{x}$ 为−

Based on the above mentioned formula, Arithmetic Mean $\bar{x}$ will be −

给定数字的算术平均值为 54。

The Arithmetic Mean of the given numbers is 54.

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