Am And Gm For Finite Number Of Real Numbers

graph TB A["AM and GM for finite number of real numbers"] A --> B["Arithmetic Mean (AM)"] B --> C["Definition: Sum of numbers divided by count"] B --> D["Properties"] D --> E["AM of any two positive numbers is greater than or equal to their GM"] D --> F["AM of numbers is the same regardless of their order"] A --> G["Geometric Mean (GM)"] G --> H["Definition: nth root of the product of n numbers"] G --> I["Properties"] I --> J["GM of any two positive numbers is less than or equal to their AM"] I --> K["GM of numbers is the same regardless of their order"]