| Türk | İngilizce |
|---|---|
| HARORT | HARMEAN |
What is the Harmonic Mean?
The harmonic mean is a type of average that emphasizes the harmonic relationship between units in a sequence of numbers, and is particularly useful in situations where ratios are expressed. In Microsoft Excel and Google Sheets, this average can be calculated using the HARMEAN function. Known as “Harmonic Mean” in English, this function is referred to as “Harmonik Ortalama” or “HARORT” in Turkish.
Function Syntax
HARMEAN(number1, [number2], ...)
number1, number2, ...: These are the numbers for which the harmonic mean will be calculated. These arguments can be constants, cell references, or ranges. At least one number must be provided.
Example Usage:
=HARMEAN(2, 4, 6) This formula calculates the harmonic mean of the numbers 2, 4, and 6. The result will be ≈ 3.272.
Practical Applications and Solutions
The harmonic mean is particularly useful for analyzing data related to rates and ratios. Below are two practical application examples.
Calculating Average Speed
To calculate the average speed of a vehicle that travels distances at different speeds:
- Suppose a car travels the first half of the distance at 60 km/h and the second half at 80 km/h. We can use the harmonic mean to find the average speed of these two rates.
=HARMEAN(60, 80) This usage calculates the vehicle’s average speed as approximately 68.57 km/h.
Calculating Investment Return
To calculate the average return of investments with varying return rates:
- Imagine an investor achieves returns of 10% in the first year, 15% in the second year, and 20% in the third year. Let’s calculate the average return rate over these three years using the harmonic mean.
=HARMEAN(10, 15, 20) This formula calculates the average annual return rate as ≈ 14.47%.
The examples mentioned above demonstrate how the HARMEAN function can be used to more accurately reflect proportional relationships between data. This can be particularly valuable in decision-making processes in fields like financial analysis and engineering.
Daha fazla bilgi: https://support.microsoft.com/tr-tr/office/harort-işlevi-5efd9184-fab5-42f9-b1d3-57883a1d3bc6