Statistics 简明教程

Statistics - Individual Series Arithmetic Median

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

如果一组具有偶数分布，则在按照升序对数字进行排列后，通过取两个中间值的算术平均值找到算术中位数。

In case of a group having even number of distribution, Arithmetic Median is found out by taking out the Arithmetic Mean of two middle values after arranging the numbers in ascending order.

Formula

其中——

Where −

  1. ${N}$ = Number of observations

Example

Problem Statement −

Problem Statement −

让我们计算以下个人数据的算术中位数 −

Let’s calculate Arithmetic Median for the following individual data −

Items

14

36

45

70

105

145

Solution −

Solution −

基于上述公式，算术中位数 M 将是 −

Based on the above mentioned formula, Arithmetic Median M will be −

给定数字的算术中位数为 57.5。

The Arithmetic Median of the given numbers is 57.5.

如果一组具有奇数分布，则按照升序对数字进行排列后，算术中位数是中间的数字。

In case of a group having odd number of distribution, Arithmetic Median is the middle number after arranging the numbers in ascending order.

Example

让我们计算以下个人数据的算术中位数 −

Let’s calculate Arithmetic Median for the following individual data −

Items

14

36

45

70

105

给定数字为 5，奇数，因此中间数字是算术中位数。

Given numbers are 5, an odd number thus middle number is the Arithmetic Median.

∴ 给定数字的算术中位数为 45。

∴ The Arithmetic Median of the given numbers is 45.

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