Statistics Calculator vs Standard Deviation Calculate

Statistics Calculator-- is an introductory app for our flagship Statistics Calculator++, a calculator with great advanced scientific features as well as statistical, regression analysis, probability distributions, confidence intervals, and hypothesis tests capabilities.  Statistics Calculator-- will have all the functionality of Statistics Calculator++ by purchasing a single In-App Purchase. The purchase will remove the limit on the size of the lists, unlocks the advanced scientific features, graphs the regression models, and unlocks probability distributions, confidence intervals, and hypothesis tests capabilities. In designing the statistics functions of this app we had one thing in mind: The user should not need to read a single line of manual to perform the statistical analysis. Simply use Add X, Add Y, and Add f buttons to enter the elements of the lists and frequencies, if any. And you are done. All the statistics and regression models are only a few taps and swipes away. Tap the List button to see the lists entered. The elements of the lists are interpreted independently (as two separate lists) and jointly for regression analysis (if the size of the lists are equal). The sum, mean, population standard deviation, sample standard deviation, sample variance, sum of squares, min, max, quartiles, and sum of multiplications of two lists are presented in a table. Each statistics measure can be chosen from the table and used for further calculations. For regression analysis linear regression, logarithmic regression, exponential regression, power regression, and quadratic regression (through an additional In-App Purchase) are calculated. Statistics Calculator-- has an extremely simple and intuitive user interface to choose the regression model and calculate predictions for x and y values and view residuals and residual sum of squares. Other major features of Statistics Calculator-- are: - The left pane scrolls to reveal more functionality without a need to switch modes. The digits and most common operations are always visible and the less common operations can be revealed by scrolling the left half of the screen. - Shows the expression as you enter and keeps a history of your calculations (Swipe up on the screen to reveal the history) - Backspace to delete last digit entered. - Sinusoidal functions can be calculated for angles in units of degrees, radians, or gradians. The following features are available through Advanced Scientific In-App Purchase. - Capability of performing fraction manipulations and converting between different formats (proper, improper, and mixed fractions) and seamless integration of fraction, integer, and decimal manipulations. - Capability of inputting degrees, minutes, and seconds for angles and converting between degrees-minutes-seconds format and decimal format. - Capability of calculating permutation, combination, Least Common Multiple (LCM), Greatest Common Divisor (GCD), and prime factorization. - Quadratic and system of two linear equations solver - Rectangular to polar and polar to rectangular coordinate conversion (extremely useful for phasor calculations for electrical engineers) - Throws a set of dice (choice of 1 die to 4 dice) You are going to love the simplicity of the user interface and yet have the powerful functionality with which Statistics Calculator-- is loaded. Please do not hesitate to contact us for any questions, comments, to report any bugs, or to suggest additional functions you would like to see in the upcoming updates.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values.A low standard deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range. Standard deviation may be abbreviated SD, and is most commonly represented in mathematical texts and equations by the lower case Greek letter sigma σ, for the population standard deviation, or the Latin letter s, for the sample standard deviation. Application examples The practical value of understanding the standard deviation of a set of values is in appreciating how much variation there is from the average (mean). Experiment, industrial and hypothesis testing[ Standard deviation is often used to compare real-world data against a model to test the model. For example, in industrial applications the weight of products coming off a production line may need to comply with a legally required value. By weighing some fraction of the products an average weight can be found, which will always be slightly different from the long-term average. By using standard deviations, a minimum and maximum value can be calculated that the averaged weight will be within some very high percentage of the time (99.9% or more). If it falls outside the range then the production process may need to be corrected. Statistical tests such as these are particularly important when the testing is relatively expensive. For example, if the product needs to be opened and drained and weighed, or if the product was otherwise used up by the test. In experimental science, a theoretical model of reality is used. Particle physics conventionally uses a standard of "5 sigma" for the declaration of a discovery. A five-sigma level translates to one chance in 3.5 million that a random fluctuation would yield the result. This level of certainty was required in order to assert that a particle consistent with the Higgs boson had been discovered in two independent experiments at CERN,also leading to the declaration of the first observation of gravitational waves, and confirmation of global warming. Weather As a simple example, consider the average daily maximum temperatures for two cities, one inland and one on the coast. It is helpful to understand that the range of daily maximum temperatures for cities near the coast is smaller than for cities inland. Thus, while these two cities may each have the same average maximum temperature, the standard deviation of the daily maximum temperature for the coastal city will be less than that of the inland city as, on any particular day, the actual maximum temperature is more likely to be farther from the average maximum temperature for the inland city than for the coastal one. Finance In finance, standard deviation is often used as a measure of the risk associated with price-fluctuations of a given asset (stocks, bonds, property, etc.), or the risk of a portfolio of assets (actively managed mutual funds, index mutual funds, or ETFs). Risk is an important factor in determining how to efficiently manage a portfolio of investments because it determines the variation in returns on the asset and/or portfolio and gives investors a mathematical basis for investment decisions (known as mean-variance optimization). The fundamental concept of risk is that as it increases, the expected return on an investment should increase as well, an increase known as the risk premium. In other words, investors should expect a higher return on an investment when that investment carries a higher level of risk or uncertainty. When evaluating investments, investors should estimate both the expected return and the uncertainty of future returns. Standard deviation provides a quantified estimate of the uncertainty of future returns.