- Just enter the input data separated by a comma in this geometric mean calculator to get the mean result wit ease. The geometric mean is also referred as the compounded annual growth rate, as the average rate of return values are calculated based on the product of the terms. It comes from the arithmetic mean but uses multiplication and roots. Investors find the geometric mean value for their investments to get compounding return values. This geometric mean calculator is capable of processing.
- Geometric Mean Calculator How to use this calculator. This calculator will find the geometric mean of a set of numbers. Enter the numerical values in the box above. The numbers (either all positive or all negative) must be separated by commas or spaces, or they may be entered on separate lines. The population or sample option selector is only used for calculating the variance or standard deviation. For the calculation of the geometric mean it is irrelevant and may be ignored. Press the.
- geometric\:mean\:\left\{0.42,\:0.52,\:0.58,\:0.62\right\} geometric\:mean\:4,\:5,\:6,\:9,\:1 geometric\:mean\:\left\{9,\:9,\:5,\:6,\:7,\:8,\:8,\:7,\:7,\:6,\:6,\:8,\:8\right\
- The online Geometric Mean Calculator is useful in calculating the geometric mean for the given set of numbers. Example: Calculate the geometric mean for the given set of numbers. 25,56,85,71,4,12,3,2,5. Solution: Apply Formula: Geometric Mean = ((X 1)(X 2)(X 3).....(X N)) 1/N N = 9 1/N = 1/9 1/N = 0.111 Geometric mean = [(25)(56)(85)(71)(4)(12)(3)(2)(5)] 0.11

What is Geometric Mean The geometric mean of series of numbers is a number that can replace each of these numbers so that their product (result of multiplication) does not change. In other words, the average geometric n numbers equals the root of n-degree from their product In statistical and business terms, a geometric average return (a.k.a. geometric mean return) represents the rate of return on investment per year, averaged over a specified time period. When assets increase in value year on year, a geometric average return will let you know what the increase in value would look like if represented by an annual interest rate

To calculate the geometric mean of 2 numbers, multiply those 2 numbers together, then calculate the square root of the resulting product. If you have 3 or more numbers, multiply all of the numbers together, then raise them to the power of 1 divided by n, where n is the total number of entries in the data set Geometric Mean Formula for Investments . Geometric Mean = [Product of (1 + Rn)] ^ (1/n) -1 . Where: Rn = growth rate for year N . Using the same example as we did for the arithmetic mean, the geometric mean calculation equals: 5th Square Root of ((1 + 0.05)(1 + 0.1)(1 + 0.2)(1 - 0.5)(1 + 0.2)) - 1 = -0.03621. Multiply the result by 100 to calculate the percentage. This results in a -3.62% annual return

** In mathematics, the geometric mean is a mean or average, which indicates the central tendency or typical value of a set of numbers by using the product of their values**. The geometric mean is defined as the nth root of the product of n numbers, i.e., for a set of numbers x1, x2,..., xn, the geometric mean is defined as 1 n = x 1 x 2 ⋯ x n n {\displaystyle \left^{\frac {1}{n}}={\sqrt{x_{1}x_{2}\cdots x_{n}}}} For instance, the geometric mean of two numbers, say 2 and 8, is just. m = geomean(X,vecdim) returns the geometric mean over the dimensions specified in the vector vecdim.For example, if X is a 2-by-3-by-4 array, then geomean(X,[1 2]) returns a 1-by-1-by-4 array. Each element of the output array is the geometric mean of the elements on the corresponding page of X The Excel GEOMEAN function calculates the geometric mean. Geometric mean is the average rate of return of a set of values calculated using the products of the terms. The general formula for the geometric mean of n numbers is the nth root of their product

Watch more Intermediate Math Skills videos: http://www.howcast.com/videos/316206-How-to-Find-the-**Geometric**-MeanThe **geometric** **mean** of two numbers is the squar.. The GEOMEAN function calculates the geometric mean of a set of numbers by returning the nth root of n numbers. Hence, the Geomean of 30000 and 33000 is calculated as: = (30000*33000)^ (1/2) =31463. Geometric Mean Calculator is used to find the geometric mean value of the given numbers

- More formally, the geometric mean of n numbers a1 to an is: n √ (a 1 × a 2 ×... × a n
- How to Calculate the Geometric Mean To calculate compounding interest using the geometric mean of an investment's return, an investor needs to first calculate the interest in year one, which is..
- Geometric Mean Formula. The formula to calculate the geometric mean is given below: The Geometric Mean (G.M) of a series containing n observations is the nth root of the product of the values. Consider, if x 1, x 2 . X n are the observation, then the G.M is defined as
- An online geometric mean calculator can readily calculate the gemetric mean of the given statistical data such as number or percenages. This geometric average calculator will shows you the step-by-step calculations for the given set of numbers/percentages and find different mathematical related-terms. How to find Geometric mean with the calculator: Finding geometric mean between numbers and.
- Geometric mean (or mean proportional) appears in two popular theorems regarding right triangles.. The geometric mean theorem (or altitude theorem) states that the altitude to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the original triangle. This is because they all have the same three angles as we can see in the following pictures
- The geometric mean for a series of numbers is calculated by taking the product of these numbers and raising it to the inverse of the length of the series. To do this, we add one to each number (to..
- You can easily calculate the Geometric Mean in the template provided. Thus to arrive at the value of $1,000 after 3 years, the return will be taken at 6.98% every year. Thus, the final amount after 3 years will be $1,224.35, which will be equal to compounding the principal amount using the 3 individual interests compounded on a yearly basis. Let us consider another instance for comparison.

@Jordan Like zero, it is impossible to calculate Geometric Mean with negative numbers. However, there are several work-arounds for this problem, all of which require that the negative values be converted or transformed to a meaningful positive equivalent value. Most often, this problem arises when it is desired to calculate the geometric mean of a percent change in a population or a financial. Let me know in the comments if you have any questions on Geometric mean calculator for grouped data with examples and your thought on this article. Categories All Calculators, Descriptive Statistics, Statistics, Statistics-Calc Tags geometric mean, geometric mean calculator, geometric mean for grouped data Post navigation. Harmonic Mean Calculator for grouped data. Poisson approximation to.

Geometric mean formula, as the name suggests, is used to calculate the geometric mean of a set of numbers. To recall, the geometric mean (or GM) is a type of mean that indicates the central tendency of a set of numbers by using the product of their values. It is defined as the nth root of the product of n numbers. It should be noted that you cannot calculate the geometric mean from the. The geometric mean is the nth root of n products or e to the mean log of x. Useful for describing non-normal, i.e., geometric distributions. Keywords multivariate. Usage geometric.mean(x,na.rm=TRUE) Arguments x. a vector or data.frame. na.rm. remove NA values before processing. Details. Useful for teaching how to write functions, also useful for showing the different ways of estimating central. * This statistics video tutorial explains how to calculate the probability of a geometric distribution function*. It also explains how to calculate the mean, v.. This Internet calculator provides geometric mean, arithmetic mean, sum, low, high, and standard deviation of a series of data points. It is useful to tabulate daily for data water and wastewater monthly reports. Horton's Geometric Mean Calculator Revised 09/14/19 . Enter 2 to 100 values. Do not leave blanks between values.. 4 Ways to Calculate the Geometric Mean in Python. In the following section, you'll see 4 methods to calculate the geometric mean in Python. For each of the methods to be reviewed, the goal is to derive the geometric mean, given the values below: 8, 16, 22, 12, 41. Method 1: Simple Calculations to get the Geometric Mean

You can also calculate the geometric mean by taking the logarithm of numbers of the data set. The general formula in terms of logarithm is given below, log (a*b*c)1/3 = 1/3 * log (a*b*c) = (1/3) * ( (log a) + (log b) + (log c)) In simple words, you can find the geometric mean by: • Take the logarithm of numbers Geometric mean calculator. For geometric mean calculation, please enter numerical data separated with comma (or space, tab, semicolon, or newline). For example: 382.8 970.9 198.6 -547.6 390.5 -895.9 -879.1 225.3 899.9 796.8 464.3 683.0 -813.0. Calculate Geometrisches Mittel Rechner . Der Geometrisches Mittel-Rechner kann verwendet werden, um das geometrische Mittel einer Menge von Zahlen zu berechnen This Internet calculator provides geometric mean, arithmetic mean, sum, low, high, and standard deviation of a series of data points. It is useful to tabulatedaily for data water and wastewater monthly reports. Horton's Geometric Mean Calculator. Horton's Geometric Mean Calculator. Revised 09/14/19 Geometric Distribution Calculator. The calculator will find the simple and cumulative probabilities, as well as mean, variance and standard deviation of the geometric distribution. Show Instructions. In general, you can skip the multiplication sign, so 5 x is equivalent to 5 ⋅ x

The easiest way to think of the geometric mean is that it is the average of the logarithmic values, converted back to a base 10 number. However, the actual formula and definition of the geometric mean is that it is the nth root of the product of n numbers, or: Geometric Mean = n-th root of (X 1) (X 2 ** The geometric series calculator or sum of geometric series calculator is a simple online tool that's easy to use**. With it, you can get the results you need without having to perform calculations manually. You can also use the calculator to check the correctness of your answer. Here are the steps in using this geometric sum calculator The first step in calculating the Geometric Mean using this method is to determine the logarithm of each data point using your calculator. Next, add all of the data point logarithms together and divide this sum by the number of data points (n). In other words, take the average of the logs. Next, convert this log average back to a base 1

- The GEOMEAN function calculates the geometric mean of a set of numbers by returning the nth root of n numbers. Hence, the Geomean of 30000 and 33000 is calculated as: = (30000*33000)^ (1/2) =31463.3. The arithmetic mean would be (30000 + 33000)/2 = 31500
- The log of geometric mean is $$ \begin{aligned} \log (GM) &=\frac{1}{N}\sum_{i=1}^n f_i\log(x_i)\\ &=\frac{146.8846}{55}\\ &=2.6706 \end{aligned} $$ The geometric mean is $$ \begin{aligned} GM & =\exp(\log (GM))\\ &=\exp(2.6706)\\ &=14.4486 \end{aligned} $
- The geometric mean return formula is a way to calculate the average rate of return per period on investment that is compounded over multiple periods. It allows understanding the effect of compounding of a portfolio of financial instruments (investments). Compounding is a process of reinvesting interest or capital gains to generate more earnings
- Vertical calculation: proc univariate data=sashelp.class noprint; var age; output out=stats geomean=gm; run; The resulting dataset STATS contains a variable GM (both names arbitrarily specified in the OUTPUT statement), whose single value is the geometric mean of the 19 AGE values of SASHELP.CLASS: Obs gm 1 13.236
- Calculate the geometric mean of the annual percentage growth rate of profits in business corporate from the year 2000 to 2005 is given below. 50, 72, 54, 82, 93. Solution: Geometrical mean of annual percentage growth rate of profits is 68.26 . Example 5.8. The population in a city increased at the rate of 15% and 25% for two successive years. In the next year it decreased at the rate of 5%.

The arithmetic mean of the logs is the log geometric mean(GM) log GM = 1/n { logx 1 + logx 2 + logx 3..logx n } = log[{x 1 x 2 x 3 x n } 1/n Mean, Median, Mode, Range Calculator. Please provide numbers separated by comma to calculate. Related Statistics and geometric mean. Proper understanding of given situations and contexts can often provide a person with the tools necessary to determine what statistically relevant method to use. In general, mean, median, mode and range should ideally all be computed and analyzed for a given. Geometric Mean, Means, Right Triangles, Similar Triangles, Triangles Remembering the geometric mean relationships can be difficult. Select the check box Point A. Notice that the 3 segments in this geometric mean relationship intersect at A

Find GMR(Geometric Mean Radius) of Bundled Conductors for basic configurations Calculator at CalcTown. Use our free online app GMR(Geometric Mean Radius) of Bundled Conductors for basic configurations Calculator to determine all important calculations with parameters and constants A geometric construction of the Quadratic and Pythagorean means (of two numbers a and b). via Wikipedia. The arithmetic mean is just 1 of 3 'Pythagorean Means' (named after Pythagoras & his ilk, who studied their proportions). As foretold, the geometric & harmonic means round out the trio.. To understand the basics of how they function, let's work forward from the familiar arithmetic mean Mean Median Mode Calculator. Ads. How does this geometric sequence calculator work? In mathematics, a geometric progression is also known as geometric sequence and represents a sequence of numbers (sequence being an ordered list of numbers) with the particularity that each member/term excepting the first one is found by multiplying the previous one by a fixed, non-zero number generally called. In order to calculate Geometric Mean, we multiply the given numbers altogether and then take a square root (given that there are two numbers), or cube root (for three numbers) 5th root (for five numbers) etc. Thus, the formula for geometric mean is as in the below image;- (Image to be added soon It is best to express an average influenza HI titer as a geometric mean. A geometric mean is calculated by averaging the logarithms of the test values and then converting the mean to a real number. This prevents a few obviously high positive values from making the mean unrealistically large. What does that mean for my sample? How do I deal with <10 in this calculation? This is surely not.

II. Geometric Means A. Geometric Mean Radius of an N Stranded Conductor GMR N2 1 N n 1 N m ∑ dkm, = ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ ∑ = = dkm, distance between the kth and mth strands k mif ≠ r' k mif = = r' e −1.4 = ⋅r = 0.7788r r' is the radius of a fictitious conductor that has no internal flux that links th Arithmetic Mean Calculator Instructions. This calculator calculates the arithmetic mean from a set of numerical values: To calculate the mean, enter the numerical values in the box above. You may separate individual values by commas, spaces or new-line. You may also copy and paste data into the text box. You do not need to specify whether the data is from a population or a sample because this. We can calculate the geometric mean based on these R functions as follows: exp (mean (log (x))) # Compute geometric mean manually # 4.209156: As you can see, the geometric mean of our example data is 4.209156. This seems to be too complicated to do it on a regular basis? No problem! The following example makes the computation of the geometric mean even easier Example 2: geometric.mean. The geometric mean return formula is used to calculate the average rate per period on an investment that is compounded over multiple periods. The geometric mean return may also be referred to as the geometric average return. Use of the Geometric Mean Return Formula. The formula for the geometric mean return is used specifically for investments that are compounded. By contrast, a simple. GEOMETRIC MEAN CALCULATION FOR DISCHARGE MONITORING REPORTS It is necessary to calculate a geometric mean when reporting the 30-day average for fecal coliform or total coliform on a Discharge Monitoring Report (DMR). Remember, a 30-day average for these parameters is only reported when 5 samples or more were collected during the reporting period. The following is an example problem to.

This online Geometric Mean Calculator calculates the geometric mean of a set of numbers. Enter the set of numbers in the input field of the calculator and click the Calculate button. You can paste the input data copied from a spreadsheet or csv-file or enter manually using comma, space or enter as separators. The input numbers can be positive or negative because our calculator calculates. The place that a geometric mean is most often used (and, therefore, a geometric standard deviation) is when calculating investment returns over time, especially when the returns involve compound interest. How you calculate the geometric mean is rather easy-you use the GEOMEAN function built into Excel. How you calculate a geometric standard deviation, however, depends on which resource you are.

For example, the geometric mean calculation can be easily understood with simple numbers, such as 2 and 8. If you multiply 2 and 8, then take the square root (the ½ power since there are only 2. **Geometric** **Mean** Function in python pandas is used to calculate the **geometric** **mean** of a given set of numbers, **Geometric** **mean** of a data frame, **Geometric** **mean** of column and **Geometric** **mean** of rows. let's see an example of each we need to use the package name stats from scipy in calculation of **geometric** **mean**

- Geometric mean shall be used to calculate the mean where the variables are dependent on each other. Such as calculating the annualized return on investment over a period of time. Effect of Compounding: The arithmetic mean does not take into account the impact of compounding, and therefore, it is not best suited to calculate the portfolio returns. The geometric mean takes into account the.
- Arithmetic Mean Geometric Mean Quadratic Mean Median Mode Order Minimum Maximum Probability Mid-Range Range Standard Deviation Variance Lower Quartile Upper Quartile Interquartile Range Midhinge. Physics. Mechanics. Chemistry. Chemical Reactions Chemical Properties. Finance. Simple Interest Compound Interest Present Value Future Value. Conversions. Decimal to Fraction Fraction to Decimal.
- e and display the Geometric Mean. The formulas must process in the WhilePrintingRecords phase so the results must be displayed in a.
- Calculating Geometric Mean. Let's consider the following set of three numbers: {1, 2, 4} To calculate the geometric mean of this set, let's first find the product of our set of numbers by multiplying them all together. (1 * 2 * 4) = 8. Next, let's take the nth root of this product where n is equal to the number of items in our set . In this case, that means we'll be taking the cubed.
- When using geometric SD factor in conjunction with geometric mean, it should be described as the range from (the geometric mean divided by the geometric SD factor) to (the geometric mean multiplied by the geometric SD factor), and one cannot add/subtract geometric SD factor to/from geometric mean
- g that the result (32.15%) is the geometric standard deviation. The example it provides specifically calculates the geometric mean that is one standard deviation above the mean. 2014-02-23 14:49:38. Angus McLean . this is entered as an array formula. I do not know how to do that. WShy not explain it. Angus. 2013-05-29 11:57:15.

Statistics - Geometric Mean of Continous Series - When data is given based on ranges alongwith their frequencies. Following is an example of continous series The geometric mean calculator is unlike a normal calculator and is the reason why you should refer to. This calculator has the exact geometric mean return formula embedded into it which makes it easy to commute the formula. All you need to do is, enter in the asked factors, the different rates you have and the number of periods in their place and you will get the result in seconds. Find out. The harmonic mean is a way to calculate the mean, or average, of a set of numbers. Using the harmonic mean is most appropriate when the set of numbers contains outliers that might skew the result. Most people are familiar with calculating the arithmetic mean, in which the sum of values is divided by the number of values. Calculating the harmonic mean is a little more complicated. If working.

I'm now doubting the accuracy of this method and have tried to use geometric mean instead. So currently I have my set of 34 growth rates except I did not subtract 1 so that all values are positive, calculated the geometric mean, and to calculate standard deviation used this wikipedia formula Geometric mean is a kind of average of a set of numbers that is different from the arithmetic average. The geometric mean is well defined only for sets of positive real numbers. This is calculated by multiplying all the numbers , and taking the nth root of the total. A common example where the geometric mean is the correct choice is when averaging growth rates Appendix 6. Calculation of arithmetic and geometric means. There are several methods for measuring the central tendency of a set of numbers. One method is to calculate the arithmetic mean. To do this, add up all the values and divide the sum by the number of values. For example, if there are a set of n numbers, add the numbers together.

- Click hereto get an answer to your question ️ Calculate the geometric mean of 3 and 27 . LEARNING APP; ANSWR; CODR; XPLOR; SCHOOL OS; STAR; answr. Join / Login. 11th. Applied Mathematics. Sequences and series. Geometric progression. Calculate the geometric mea... maths. Calculate the geometric mean of 3 and 2 7. A. 3. B. 6. C. 9. D. 1 2. Medium. Answer. Geometric mean between 2 numbers a.
- Key facts about the geometric mean • Prism computes the geometric mean by computing the logarithm of all values, then calculating the mean of the logarithms, and finally taking the antilog. • Prism uses base 10 (common) logarithms, and then takes ten to the power of the mean of the logarithms to get the geometric mean. Some programs use natural logs and then use the exponential function to.
- It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. Example 1: What is the Mean of these numbers? 6, 11, 7 . Add the numbers: 6 + 11 + 7 = 24; Divide by how many numbers (there are 3 numbers): 24 / 3 = 8; The Mean is 8. Why Does This Work? It is because 6, 11 and 7 added together is the same as 3 lots of.
- es missing segments using the geometric mean. Enter the segment lengths that you know and press the butto
- More About this Geometric Mean Calculator. First of all, the geometric mean is a measure of central tendency, but it is a type of a less commonly used measure of central tendency, much less common than the sample mean or the median. How do you calculate the geometric mean? The geometric mean is somewhat more cumbersome to calculate than it is to calculate the arithmetic mean. Mathematically, tn terms of its calculation, and the formula used to calculate it, it is computed by using the.

- The calculator will find the simple and cumulative probabilities, as well as mean, variance and standard deviation of the geometric distribution. Show Instructions In general, you can skip the multiplication sign, so `5x` is equivalent to `5*x`
- The calculator below calculates the mean and variance of geometric distribution and plots the probability density function and cumulative distribution function for given parameters: the probability of success p and the number of trials n
- The equation for calculating the
**geometric****mean**is as follows: In the equation above, i is the index that refers to the location of a value in a set, xi is an individual value, and N is the total number of values. i=1 refers to the starting index, i.e. for a data set 1, 5, 7, 9, 12, i=1 is 1, i=2 is 5, i=3 is 7, and so on - Arithmetic Geometric Mean, or abbreviated as AGM. NEW FORMS FOR THE CALCULATION OF THE CIRCUMFERENCE OF ELLIPSE (and hence also complete elliptic integral of the second kind) below, in terms of the AGM and easy to calculate derivative of the AGM for specific values. Number 1: Number 2 : Arithmetic-Geometric Mean: The arithmetic-geometric mean is calculated as follows: AM1=(N1+N2)/2; GM1=SQRT.
- Free Statistics Calculator - find the mean, median, standard deviation, variance and ranges of a data set step-by-step. This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy. Learn more Accept. Solutions Graphing Practice; Geometry beta; Notebook Groups Cheat Sheets; Sign In; Join; Upgrade; Account Details Login Options Account.
- GMR (Geometric Mean Radius) of Bundled Conductors for basic configurations Calculator. This Calctown Calculator calculates the Geometric Mean Radius of bundled conductors of the given basic configurations. Please enter the type of configuration whose GMR is to be calculated. Click here to view image
- The calculation of the Geometric Mean may appear impossible if one or more of the data points is zero (0). In these cases, however, the convention used is that a value of either '1', one half the limit of detection, or some other substitution is allowed for each zero or less than value, so that the information contained in these data is not lost

View geometric mean ex_ans.xls from MGIS 3353 at Dalton State College. Calculations Involving Geometric Mean Annual Growth rate Annual Growth Rate Example 1: Example 2: Year 0 $ . . 6 $ Fun This is particularly obvious in the calculation of inductance. Where the spacing varies between cores (for example in flat configurations), an average spacing is used; the geometric mean distance. Geometric Mean Spacing. Given known spacing between conductors, the geometric mean distance is given by: d = d L 1 L 2 d L 1 L 3 d L 2 L 3 3. and . d L N = d L 1 L N d L 2 L N d L 3 L N 3. where To calculate the geometric mean of a set of N data values we need to extract the Nth root of their product. In mathematics there is no particular notation for the geometric mean. For our example we are going to use: \[x_{GM} = \sqrt[N]{x_1 \cdot x_2 \cdot x_3 \cdot x_N}\] The general mathematical expression for the geometric mean is To calculate the geometric mean values for columns of data: From your data table, click the Analyze button and select Column Statistics. Check the box to report Geometric means. The values will be on your results sheet. Graphing the geometric mean of side-by-side replicates in grouped or XY graphs. If you enter your data as grouped data, It is not possible to directly plot the geometric mean.

/* Calculate the arithmethic-geometric mean of two positive * numbers x and y. * Result will have d digits after the decimal point. */ define m(x, y, d) {auto a, g, o o = scale scale = d d = 1 / 10 ^ d a = (x + y) / 2 g = sqrt(x * y) while ((a - g) > d) {x = (a + g) / 2 g = sqrt(a * g) a = x} scale = o return(a)} scale = 20 m(1, 1 / sqrt(2), 20) Output:.84721308479397908659 C Basic #include. The geometric mean is the average growth of an investment computed by multiplying n variables and then taking the n square root. In other words, it is the average return of an investment over time - a metric used to evaluate the performance of an investment portfolio. Why use Geometric Mean Download Geometric mean calculator for iOS to this app allows you to solve geometric mean formula Arithmetic Mean Geometric Mean Quadratic Mean Median Mode Order Minimum Maximum Probability Mid-Range Range Standard Deviation Variance Lower Quartile Upper Quartile Interquartile Range Midhinge. Physics . Mechanics. Chemistry. Chemical Reactions Chemical Properties. Finance. Simple Interest Compound Interest Present Value Future Value. Conversions. Decimal to Fraction Fraction to Decimal. Calculate the geometric mean return of the following data set. -3%, 2%, -5%, 2.7%, 3.1%. Geometric Mean: In the context of accounting, the mean for given annual returns may be determined in terms. The geometric mean is the nth root of the product of n values and is symbolically expressed as follows: Geometric mean is generally used to compare things with different properties. It is a better measure than the arithmetic mean for describing proportional growth or exponential growth. It is applied in the calculation of the Human Development Index (HDI) which is based on three dimensions.