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standard deviation symbol calculator

Standard deviation is nothing but the root of the mean square deviation. You can use this Standard Deviation Calculator to calculate the standard deviation, variance, mean, and the coefficient of variance for a given set of numbers. Calculating the sample standard deviation ( s) is done with this formula: s = ( x i x ) 2 n 1. n is the total number of observations. compute the standard deviation and sample size, computes the regression line (least-squares), linear equation used with Linear Regression. (Optional) Use the directional keys to check whether the data is entered correctly. Find standard deviation of the given population data: 10, 12, 18, 14, 21, 27. sample size n = 15 Always check this first to guard against leaving out numbers or entering numbers twice. Sum of difference btw ith term and sample mean: Shri Madhwa Vadiraja Institute of Technology and Management. The calculator above computes population standard deviation and sample standard deviation, as well as confidence interval approximations. To calculate the standard deviation of those numbers: 1. Below, you can find the plot of a normal distribution with a width of 1 band. Calculation Of Standard Deviation The standard deviation along with the symbol for standard deviation can be determined. Add all the numbers in the data set and then divide by four: fx = 6 + 8 + 12 + 14 = 40. The consent submitted will only be used for data processing originating from this website. Use 229 for sigma lowercase. In statistics and probability theory, the standard deviation (represented by the Greek letter sigma, ) shows how much variation or dispersion from the average exists. is the population mean One of the most basic approaches of Statistical analysis is the Standard Deviation. 3 Clear existing data from the lists. Just obey the following instructions: Place the insertion pointer where you need to type the Standard Deviation symbol. To use this online calculator for Population standard deviation, enter Sum of difference btw ith term and sample mean ( (Xi - )) & Number of elements in population (N) and hit the calculate button. The standard deviation is equal to the square root of variance. Get our easy to operate Standard Deviation Calculator to get the standard deviation, sum of squares, count, mean, and variance values of the given data set. You can also say that the standard deviation of statistics is the measuring of variability or volatility of the given data set. 1.11803398874989 --> No Conversion Required, Standard deviation of proportion given probability of success, Variance of Proportion using Probability of Success, Variance of proportion given probability of success and failure, The population standard deviation formula is defined by the formula Step 3: Finally, the mean, variance, and standard deviation for the given set of data will be displayed in the output field. Population standard deviation. Pop. Rate this symbol: (4.00 / 4 votes) The Standard Deviation is a measure of how spread out numbers are. The correct answer is 1, but many calculators will give 0 because of rounding error. The symbol for the standard deviation of a data set that represents population is (lowercase Greek sigma). In other words, x is the exact standard deviation of the data given (with n in the denominator), and sx is an unbiased estimation of the standard deviation of a larger population assuming that the data given is only a sample of that population (i.e. There are six main steps for finding the standard deviation by hand. A short tutorial on calculating the mean and standard deviation (and other summary statistics) of data from a frequency table using the TI-nspire CAS calcula. We calculate the standard deviation with the help of the square root of the variance. The sample standard deviation formula is highlighted below: = ( (X - X) / (N - 1) "X" represents the sample mean of the population. Divide the obtained answer by total number of values to get the standard deviation. Check our website i.e Onlinecalculator.guru that offers trusted and reliable best online calculators to solve all your complex calculations & make them easy and simple during your homework or assignments. Please provide numbers separated by comma (e.g: 7,1,8,5), space (e.g: 7 1 8 5) or line break and press the "Calculate" button. Standard Deviation - The Standard Deviation is a measure of how spread out numbers are. Standard deviation is square root of variance. You can download this Standard Deviation Excel Template here - Standard Deviation Excel Template Step 1: Calculate the mean of the given data. It's in the third column of keys. x gives the "regular" standard deviation and sx applies Bessel's correction. n is the number of observations in a data set. The Standard Deviation, abbreviated as SD and represented by the letter ", indicates how far a value has varied from the mean value. Sample Standard Deviation. Find the standard deviation of 4, 9, 11, 12? (When the data set is the whole population, use x and write . Step 1: Find the mean of the set of measurements you have obtained in your experiment (X) Step 2: Find the residual value or deviation of each measurement from the mean ( xi - X) and square it. To find it, square the difference of each value of the dataset and the mean and add up all those values. Example 2: For population variance. The following is the population standard deviation formula: Where: To calculate mean, press ALPHA, followed by 4 and finally =. The formula to calculate a population standard deviation, denoted as , is: = (x i - ) 2 / N. where: : A symbol that means . Step 5: Take the square root. N is the population size and is represented as. It is the perfect indicator of the individuals spread out in a group. Slope-Intercept form of a Line based on two points. How? Standard Deviation: s = n i=1 (xi xavg)2 n1 s = i = 1 n ( x i - x a v g . 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 . Sum of difference btw ith term and sample mean. So, standard deviation of the given data is 4.69. Sum of squares is the sum of the squares of the difference between each value and mean of the data set. The formula to calculate the standard deviation is listed here: Variance is the sum of squares per number of values in the data set or the square of standard deviation. N is the population size is calculated using. Then for each number: subtract the Mean and square the result 3. Standard Deviation ( \sigma ) =. 1. Standard Deviation Percentile Calculator. standard deviation symbol on calculator The symbol currently copied to the clipboard is: The emojis you see are symbols unicode, they are not jpgs or combined characters, but you can mix them in any way you want. mean x = 9.72 (Write down symbol instead of x if this is a population mean. The formula to calculate the standard deviation is listed here: For a population = [ ( i = 1n (x i - )) / n] For a sample s = [ ( i = 1n (x i - x mean )) / (n - 1)] Variance: Variance is the sum of squares per number of values in the data set or the square of standard deviation. As a result, the numbers have a standard deviation of zero. TI-84 Plus CE Graphing Calculator For Dummies, 3rd Edition. It is denoted by the Greek symbol sigma . Calculate the Mean First of all, let me tell you the meaning of mean. Z Score - Z Score is a numerical measurement that describes a value's relationship to the mean of a group of values. Whilst pressing down the Alt key, press the Sigma sign alt code ( 228) using the numeric keypad. Its formula is. Press SHIFT followed by 1: Press 4 to select '4: Var'. Formula for Calculating Standard Deviation The population standard deviation formula is given as: = 1 N N i=1(Xi )2 = 1 N i = 1 N ( X i ) 2 Here, = Population standard deviation = Assumed mean Similarly, the sample standard deviation formula is: s = 1 n1 n i=1 (xi x)2 s = 1 n 1 i = 1 n ( x i x ) 2 Here, Use them and make the calculations easily. It is by finding out the square root which is known as the variance. You will see columns (lists) labeled L1 through L6. The use of standard deviation symbol on calculator can have different meanings. The standard deviation of the mean (SDOM)is sometimes also known as the standard error of the mean (SEM). Sorry, JavaScript must be enabled.Change your browser options, then try again. Step 4: Finally, take the square root obtained mean to get the standard deviation. Our Standard Deviation Calculator not only gives the exact result, it also provides the detailed steps engaged in solving those statistics parameters. Where is the standard deviation on a calculator? As much the value of standard deviation is low, it will be closer to the data points which tends to be the mean. Using our page is very simple, only you must click on the standard deviation symbol on calculator you want to copy and it will automatically be stored. Mean = 8.375, Standard Deviation = 4.49, Variance = 20.23, Sum of Squares SS = 161.87, Sum = 67. If you would like to change your settings or withdraw consent at any time, the link to do so is in our privacy policy accessible from our home page. What is the fastest way to calculate standard deviation? Variance is defined as the average taken out of the squared deviations. The standard deviation is a statistical measure of volatility. x i is the i th number of observations in the data set. These bands are set 2 standard . The important statistics are. 2. Population Standard Deviation Calculator - Calculate the population standard deviation of a set of numbers. What Is The Formula of Population Standard Deviation? These values provide chartists with an estimate for expected price movements. is the population mean = ( X ) 2 n. Sample Standard Deviation Formula. Also includes technical and punctuation characters, and in addition diverse symbols in the writing of data. We can calculate variance by squaring the difference from the basic mean. You can use the following syntax to calculate the standard deviation of a vector in R: sd (x) Note that this formula calculates the sample standard deviation using the following formula: (xi - )2/ (n-1) where: : A fancy symbol that means "sum" xi: The ith value in the dataset : The mean value of the dataset n: The sample size Find out the simple steps to calculate the standard deviation manually in the below segments. Example Calculation Step 3: Sum the values from Step 2. It is algebraically simpler, though in practice less robust, than the average absolute deviation. However, in statistics, we are usually presented with a sample from which we . To calculate mean, press ALPHA, followed by 4 and finally =. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Therefore, the symbol for the standard deviation for both are: City A standard deviation: = $5,500 City B standard deviation: = $2,100 An example of data being processed may be a unique identifier stored in a cookie. Standard deviation is a number that tells you how far numbers are from their mean. There are two standard deviations listed on the calculator. How to calculate Population standard deviation? Step 2: Now click the button "Solve" to get the SD. The output is 394. What Is The Formula of Sample Standard Deviation? Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. For example, try finding the standard deviation of 100001, 100002, 100003 on a calculator. For determining the standard deviation and symbol for standard deviation - I have tested this on the Sharp EL-W531S and SHARP EL-W531XM calculators. Eg:- Consider the numbers, A = [ 1,2,3,4,5,6,7,8,9,10 ] as the given population. Population Standard Deviation The population standard deviation, the standard definition of , is used when an entire population can be measured, and is the square root of the variance of a given data set. Population standard deviation calculator uses Standard Deviation = sqrt((Sum of difference btw ith term and sample mean^2)/Number of elements in population) to calculate the Standard Deviation, The population standard deviation formula is defined by the formula Z-score The mean adult male pulse rate is 67.3 beats per minute, with a standard deviation of 10.3. The standard deviation is always represented by the same unit of measurement as the variable in question. xn.eval(ez_write_tag([[250,250],'onlinecalculator_guru-leader-1','ezslot_2',108,'0','0']));eval(ez_write_tag([[250,250],'onlinecalculator_guru-leader-1','ezslot_3',108,'0','1']));.leader-1-multi-108{border:none!important;display:block!important;float:none!important;line-height:0;margin-bottom:15px!important;margin-left:0!important;margin-right:0!important;margin-top:15px!important;max-width:100%!important;min-height:250px;min-width:250px;padding:0;text-align:center!important}. Percentile (Ex: 0.99, 90%, 90, etc) =. is the population mean To use this online calculator for Population standard deviation, enter Sum of difference btw ith term and sample mean ((Xi - )) & Number of elements in population (N) and hit the calculate button. Here's a quick preview of the steps we're about to follow: Step 1: Find the mean. You should calculate the population standard deviation when the dataset you're working with represents an entire population, i.e. = [((4-9) + (9-9) + (11-9) + (12-9)) / 4]. Steps 1 Press the STAT button on your calculator. The population standard deviation is given by the formula: = 1 N i = 1 N ( X i ) 2 Where: = Population standard deviation With samples, we practice 'n - 1' in the formula because applying 'n' would provide us with a biased estimate that consistently minimises variability. If we assume this was sample data, then our final answer would be s =2.71. For your convenience, we are also giving the step by step process in evaluating standard deviation, variance, sum of squares, mean and count of the data set. Square root of average of the squared differences from the mean is called standard deviation. Pay attention to what kind of data you are working with and make sure you select the correct one! For example, the data set for this example problem is 6, 8, 12 and 14. Enter a data set, separated by spaces, commas or line breaks. Free Standard Deviation Calculator - find the Standard Deviation of a data set step-by-step You can find the mean, also known as the average, by adding all the numbers in a data set and then dividing by how many numbers are in the set. The symbol of the standard deviation of a random variable is "", the symbol for a sample is "s". Calculate the Relative Standard Deviation for the following set of numbers: 48, 52, 56, 60 where the standard deviation is 2.48. The population standard deviation formula is defined by the formula N is the population size. Price moves greater than the Standard deviation show above average strength or weakness. The above sample standard deviation calculator can be used to check the result of this example. Mathematics Textbook S3 (8th Edition). SD = sqrt [ ( Xi - )^2 / N ] where C; Dataset Data: 11,15,11,16,12,17,13,21,14,21,15,22 Find dispersion of a given dataset. craig soundbar instructions; lake crabtree park morrisville, nc; world of tanks best premium tank. You can pick a standard deviation symbol on calculator to copy and paste it in. Population Standard Deviation Formula. fx / 4 = 40 / 4. The symbol Sx stands for sample standard deviation and the symbol stands for population standard deviation. The Standard Deviation is a measure of how spread out numbers are. Calculate the difference between each data value in the set and mean. how to calculate subject average. Manage Settings To calculate standard deviation, press ALPHA, followed by 6 and finally =. . Solution: Sample Mean is calculated as: Step 3: Calculate Mean. Mean of data - Mean of data is the average of all observations in a data. There are two standard deviations listed on the calculator. SD = sqrt [ ( Xi - )^2 / N ] where Enter the set of numbers below for which you want to find the standard deviation. Nishan Poojary has created this Calculator and 500+ more calculators! Its symbol is the lowercase Greek letter sigma (). Data set is {9, 12, 3, 4, 6, 7, 8, 18}, Given data set is {9, 12, 3, 4, 6, 7, 8, 18}, = (9 - 8.375) + (12 - 8.375) + (3 - 8.375) + (4 - 8.375) + (6 - 8.375) + (7 - 8.375) + (8 - 8.375) + (18 - 8.375), = 0.625 + 3.625 + (-5.375) + (-4.375) + (-2.375) + (-1.375) + (-0.375) + 9.625, = 0.39 + 13.14 + 28.89 + 19.14 + 5.64 + 0.14 + 92.64 + 1.89, Standard Deviation = = [(i = 1n (xi - )) / n], = [[(9 - 8.375) + (12 - 8.375) + (3 - 8.375) + (4 - 8.375) + (6 - 8.375) + (7 - 8.375) + (8 - 8.375) + (18 - 8.375)] / 8], = [(0.625 + 3.625 + (-5.375) + (-4.375) + (-2.375) + (-1.375) + (-0.375) + 9.625) / 8], = [[0.39 + 13.14 + 28.89 + 19.14 + 5.64 + 0.14 + 92.64 + 1.89 / 8], Variance = = [(i = 1n (xi - )) / n], = [(9 - 8.375) + (12 - 8.375) + (3 - 8.375) + (4 - 8.375) + (6 - 8.375) + (7 - 8.375) + (8 - 8.375) + (18 - 8.375)] / 8], = (0.625 + 3.625 + (-5.375) + (-4.375) + (-2.375) + (-1.375) + (-0.375) + 9.625) / 8, = 0.39 + 13.14 + 28.89 + 19.14 + 5.64 + 0.14 + 92.64 + 1.89 / 8. is the population mean and x is the sample mean (average value). If we assume this was sample data, then our final answer would be s =2.71. It is the perfect indicator of the observations in a data set. Explanation: the numbers are all the same which means there's no variation. 4. How to use our keyboard of standard deviation symbol on calculator to copy and paste n is the number of data . Table of contents: Copy and Paste Customize Alt Codes Standard Deviation Text Symbol to Copy and Paste 1. Xi is the ith term The formula for the Standard Deviation of Mean (SDOM) is: To compute the standard deviation and sample size, use the Simple Stats Calculator [CLICK HERE]to enter your data and see the observational statistics which include both the standard deviation and number of samples. formula for the Standard Deviation of Mean (SDOM). The symbol Sx stands for sample standard deviation and the symbol stands for population standard deviation. Standard deviation is a measure of how spread out numbers are. Free Standard Normal Distribution Calculator - find the probability of Z using standard normal distribution step-by-step Solutions Graphing . Standard Deviation is denoted by symbol. Continue with Recommended Cookies. This is the right place for the one who are looking for an equipment that computes standard deviation and other statistics parameters involved while solving them. 4. x i is the list of values in the data: x 1, x 2, x 3, . All you have to do is paste it in the place you want (name, text). . Mean ( \mu ) =. Therefore, you would normally calculate the population standard deviation if: (1) you have the entire population or (2) you have a sample of a larger population, but you are only interested in this sample and do not wish to generalize your findings to the population. You can find the standard deviation of a data set in two ways with your TI-84 Graphing Calculator. The standard deviation of a given set of numbers is calculated by using the formula-. This quantity is useful in that it helps quantify the uncertainty in the estimate of the mean. A random sample of 16 students took the typing test, and we obtained an average speed of 62 words per minute with a standard deviation of 8. Count = n = count(xi)i = 1neval(ez_write_tag([[250,250],'onlinecalculator_guru-large-mobile-banner-1','ezslot_7',109,'0','0'])); Mean is the average of the data set. We and our partners use cookies to Store and/or access information on a device. Step 2: For each data point, find the square of its distance to the mean. We and our partners use data for Personalised ads and content, ad and content measurement, audience insights and product development. Step 3: Find the sum of all the squared values from Step 2. Here is how the Population standard deviation calculation can be explained with given input values -> 1.118034 = sqrt ( (5^2)/20). Sum of difference btw ith term and sample mean is the sum of all the terms of difference btw ith term and sample mean. Xi is the ith term Population standard deviation calculator uses. This standard deviation calculator uses your data set and shows the work required for the calculations. Here is how the Population standard deviation calculation can be explained with given input values -> 1.118034 = sqrt((5^2)/20). Step 1: Compute the mean for the given data set. Work out the Mean (the simple average of the numbers) 2. . Z-score is measured in terms of standard deviations from the mean. Formula : Solution : = 32.8 5 = 32.8 5 = 6.56 = 6.56 = 2.5612 = 2.5612 population standard deviation (PSD) calculator - to estimate the dispersion value ( n) of the entire population online for large numbers of grouped or ungrouped data using (n) formula method, supports excel, csv & text file format input. For the sake of your comfort and convenience, we listed the details below. Score: 4.2/5 (61 votes) . The formula to calculate standard deviation = [(i = 1n (xi - xmean)) / n]. The Standard Deviation of Mean (SDOM) calculator computes the standard deviation of the mean(M) based on the standard deviation () and the number of samples (N): INSTRUCTIONS: Enter the following: () Standard deviation (N) Number of samples Standard Deviation of the Mean (SDOM): The calculator returns the standard deviation of the mean(M). The calculator will display the x-mean (= 2.5), some other stuff, and then the standard deviation (s x =1.29). Standard deviation is square root of variance. To calculate standard deviation, press ALPHA, followed by 6 and finally =. Standard Deviation = Variance Population Standard Deviation = use N in the Variance denominator if you have the full data set. The equation for finding standard deviation is =[(x-x)/n]. On the other hand, the standard deviation of a sample of population is represented by 's'. Variance can be defined as the numerical value, which describes how variable the observations are. Please provide the information required below: Pop. Press 2nd F, followed by ALPHA to reach the following screen: If you do not get the screen above, clear memory (Step 1) and start over. but let's first remember what all the symbols mean. The symbol currently copied to the clipboard is: The emojis you see are symbols unicode, they are not jpgs or combined characters, but you can mix them in any way you want. Step 4: Calculate Mean & SD. Standard Deviation formula to calculate the value of standard deviation is given below: (Image will be Uploaded soon) Standard Deviation Formulas For Both Sample and Population. Mean (x) Step 2: Find each score's deviation from the mean The Standard Deviation of Mean (SDOM) calculator computes the standard deviation of the mean(M) based on the standard deviation () and the number of samples (N): Standard Deviation of the Mean (SDOM): The calculator returns the standard deviation of the mean(M). is the mean of the sample. think! When we are calculating the standard deviation of the population, we represent it by Greek letter Sigma (). Press 3 to calculate standard deviation. Instructions: Use this one to calculate a percentile value for a given percentile, when you know the mean and standard deviation. The symbol Sx stands for sample standard deviation and the symbol stands for population standard deviation. Conclusion: The standard deviation of the height of the goats is 165. . What is the difference between standard deviation and variance? Standard Deviation Calculator: Make use of this free calculator to check the multiple things at one place. Step 2: Apply STDEV.S to the range B2:B6. . Question: Find standard deviation, variance, sum of squares and mean of the following population data set. Let's do the calculation using five simple steps. How to calculate Population standard deviation using this online calculator? Press and hold the Alt key on your keyboard. Click Calculate to find standard deviation, variance, count of data points n, mean and sum of squares. Step 4: Divide by the number of data points. Once done, press MODE followed by 0 to switch back to normal operation. (Greek letter sigma) is the symbol for the population standard deviation. Once done, press MODE followed by 1 to switch back to normal operation. First, have a look at the long lists to calculate the standard deviation from scratch on the TI-84 Graphing Calculator. You can also see the work peformed for the calculation. This is the standard deviation. Take the square root of that and we are done! The equation for determining the standard deviation of a series of data is as follows: i.e, =v Also, =x/n Here, is the symbol that denotes standard deviation. Find mean by calculating the sum of data values and dividing the result by number of data values. The STDEV.P Excel syntax looks like this: =STDEV.P (data array) Assuming we want to calculate the population standard deviation for the set of values 3, 4, 9, 14, 22.5, 1, 3.2, 0.3, 2, and 19 in Excel, do the following: Select an empty cell in the Excel worksheet and click the Insert Function (fx) icon: Insert function in Excel. Step 2: Subtract the mean from each observation and calculate the square in each instance. We have the population information for both City 'A' and City 'B'. Just you need to provide data set values separated by commas in the input of the calculator and hit on the calculate button to get the accurate output immediately. Standard deviation is represented by the symbol of sigma ( ). Then see how to quickly find the standard deviation using one . How to Calculate Population standard deviation? Calculate the standard deviation for the sample. The STDEV function is an old function. We'll use a small data set of 6 scores to walk through the steps. Mean. The Standard Deviation is the positive square root of the variance. Some of our partners may process your data as a part of their legitimate business interest without asking for consent. The formula actually says all of that, and I will show you how. The following is the sample standard deviation formula: Where: s = sample standard deviation x 1, ., x N = the sample data set x = mean value of the sample data set N = size of the sample data set Standard Deviation Calculator Relative Standard Deviation Calculator What is Standard Deviation? The solution is to subtract a large number from each of the observations (say 100000) and calculate the standard deviation on the remainders, namely 1, 2 and 3. Solution : Let us use actual mean method to find standard deviation. The reason 1 is subtracted from standard variance measures in the earlier formula is to widen the range to "correct" for the fact you are using only an incomplete sample of a broader data set. The standard deviation formula looks like this: = (x i - ) 2 / (n-1) Lets break this down a bit: (sigma) is the symbol for standard deviation is a fun way of writing sum of x i represents every value in the data set is the mean (average) value in the data set n is the sample size Why is the Standard Deviation Important? 2 Select the Edit menu and press Enter. Number of elements in population is the count of number of elements in the given population. Standard deviation determines the root-mean-square of the given data. Note that s x is what we called s in class; the calculator refers to it as s x so we know that this is the standard deviation of the variable x and not that of y (which will be denoted by s y). The standard deviation of a random variable, sample, statistical population, data set, or probability distribution is the square root of its variance. It is represented using symbol. Then work out the mean of those squared differences. Xi is the ith term Step 1: Find the mean To find the mean, add up all the scores, then divide them by the number of scores. Standard deviation. Press 2 to calculate mean. Press [ 4 ] for "VAR" and [ 3 ] for " ". Order a unique value (a code point) to each symbol of the major writing systems of the planet. Where, = Standard Deviation = Sum of each Xi = Data points = Mean N = Number of data points So, now you are aware of the formula and its components. Cool Fancy Text Generator Cool Fonts & Stylish Letters, How to use our keyboard of standard deviation symbol on calculator to copy and paste, Meaning of standard deviation symbol on calculator, About unicode standard deviation symbol on calculator. There are two standard deviations listed on the calculator. Question 2 : Calculate the standard deviation of the following data x 3 8 13 18 23 f 7 10 15 10 8 . Square the result ad sum up all the values. Value of A - Value of A can be any mathematical value. Before discussing how to calculate standard deviation, let's review the definition. The standard deviation calculator finds the standard deviation of given set of numbers. A low Standard Deviation indicates that the values are close . s = ( X X ) 2 n 1. is the symbol for adding together a list of numbers. For example, the numbers below have a mean (average) of 10. Range value based on the slope-intercept formula of a line and a value of the domain, Create a random subset of the a list of numeric values, Compute the z SCORE based on the mean and standard deviation, Compute the z SCORE in a set of observations, Compute the percentile of a single observation.

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standard deviation symbol calculator