Posts Tagged ‘range’
Friday, November 13th, 2009
How to Find the Interquartile Range
Description
A detailed tutorial on how to find the interquartile range. Step by step tutorial including several examples of the interquartile range for reference.
Overview
The interquartile range is the range of the data between the lower or first quartile and the upper or third quartile. The interquartile range is not the whole data set – it is actually only half of the data set, although not a common half – the first and last quarter of the data is not included in the interquartile range. To find the interquartile range, all you must do is find all the quartiles, and then find the different between the upper quartile and lower quartile.
Tags: data, First, half, interquartile, lower, median, quarter, quartile, range, second, set, statistics, third, upper
Posted in Statistics | No Comments »
Friday, November 6th, 2009
Introduction to Injective and Surjective Functions
Description
A detailed tutorial on injective and surjective functions. Step by step tutorial including several examples of injective and surjective functions for reference.
Overview
When given a function, there are two properties it can possess: it can be either injective or surjective. An injective function is a function that associates distinct arguments in one domain with distinct values in one codomain, and every unique argument produces a unique result. A surjective function is a function where the range is equal to the codomain. A surjective function is also called a surjection or said to be onto. For both cases, the function could be bijective if all elements in the codomain are mapped, which means that it would be both injective and surjective at the same time.
Tags: algebra, arguments, bijective, codomain, equal, function, injective, mapped, onto, range, subjection, surjective, unique, values
Posted in Algebra | No Comments »
Tuesday, October 27th, 2009
The Range of Relations
Description
A detailed tutorial on the range of relations. Step by step tutorial including several examples of the range of relations for reference.
Overview
The range of a relation is denoted as Rng(R) and looks like a normal set. For each ordered pair in a relation, there are two endpoints, x and y. The range is the set of all the y endpoints – that is to say, all the endpoints that come second in the ordered pair. If you are taking the range of the inverse of a relation, then that would be all the x endpoints. When writing the range, the notation used is just the normal notation, not the ordered pair notation.
Tags: cartesian, coordinates, discrete math, element, endpoint, ordered pair, range, relations, second, set, subset
Posted in Discrete Math | No Comments »
Friday, September 25th, 2009
How to Find the Domain & Range of a Function
Description
A detailed tutorial on finding the domain and range of a function. Step by step tutorial including several examples of how to find the domain and range of a function for reference.
Overview
Finding the domain and range is very important when given the graph of a function. The domain is the set of all possible x values of the function, and the range is the set of all possible y values of the function. When given a function, the first one you want to find is the domain. You want to figure out what is allowed for the x value. Typically, the domain ends up being the set of all real numbers, expressed a R. If the x is found in a fraction, it can be the set of all real numbers excluding 0. If the x is found in a square root, it is the set of all real positive numbers. It’s rare for there to only be a few values allowed for the domain. The next one you want to find is range. Very often, range also ends up being the set of all real numbers. But say you know that something has to come out negative, then it would only be the set of all negative numbers. Each function is a little bit different, but finding the domain and range is typically a very straightforward process.
Tags: algebra, domain, fraction, function, graph, Math, negative, positive, possible, range, real numbers, set, square root, values, x, y
Posted in Algebra | No Comments »
