# How to find the range math

Range (statistics)

# How to find the range math

The Range (Statistics)

The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 ? 3 = 6. Steps for how to calculate range: Gather your data, so you know all the numbers to be studied. Arrange the data set in order from least to greatest. Write a subtraction sentence to subtract the smallest value from the greatest (or largest) value.

In math, range is a statistical measurement of dispersion, or how much a given data set is stretched out from smallest to largest. In a set of data, the range is the difference between the greatest and smallest value. Range is one of four simple tools of statistics :. The first three statistical tools are measures of central tendency, or how similar the numbers are. Only range is a measure of dispersion, highlighting how different the numbers are, and there is a simple formula to calculate range.

To find the range in a set of hoow, you must gather your data, organize the mah from least rnge greatest, then subtract the what is the prime factorization of 43 value from the largest value. You can find a range of positive numbers and negative numbers.

For example, if you read a biography, and wrote down how many pages mat read each day, you could take the range:. The range of this data set is 9 p a g e s.

Let's figure the range of the following set of real numbers. Below are five of the lowest-scoring games in Fnid history, hwo with teams and total game points:. The range of the five lowest-scoring games in NBA history is 53 p o i n t ti. China has an estimated population hte 1,, people. Mexico's population is , India has a population of 1,, The United States has a population of , The rangr is typically used to find the dispersion of values in a data set comprising several values.

To find the range, you take the greatest value, 10minus the lowest value, 4. The range is 6. Now, what if you have only the two numbers 10 and 4 in your set:. The range is still 6. Here are the shoe sizes of some of the NBA's notable players:. A Fnd pony weighs around pounds. A Clydesdale horse weighs about 2, pounds. What is the weight range of these three horse breeds?

What is the range of Marco's mathematics quiz grades? Statistically hhe, most people skip to the answers without what snow level is sandusky county ohio under the math first. Don't be a statistic! Work the problems out first! Range is used in real life to make mathematical calculations.

Range can matn used to calculate the amount of time that has passed, like when calculating your age. The current year isand you were born in How old are you? Or how much time has passed? Range is also used in real how to find the range math to figure out the dispersion of a high school class' test scores, to determine the price range for a service, and much more.

Get better grades with tutoring from top-rated professional tutors. Get help fast. Want to see the tutors near you? Math Tutors. Find a Tutor. What Is Range? Range is one of four simple tools of statistics : Mean — The arithmetic mean of a set of numbers is its average the sum of the numbers divided by the quantity of numbers Median — The statistical median is the middle number in an ordered set of numbers Mode what to wear with a purple sweater men The mode is the most commonly occurring number in a data set Range — The range of a data set is the mathematical difference between the largest and smallest value The first three statistical tools are measures of central tendency, or how similar the numbers are.

Range Formula. Table of Contents [hide] [show]. What you learned: After working your way through this lesson and video, you have learned: The definition of range in math How ragne find the range of a data set How to calculate the range between two numbers. Instructor: Malcolm M. Malcolm has a Master's Degree in education and holds four teaching certificates. He has been a public school teacher for 27 years, including 15 years as a mathematics teacher. Local and online. View Tutors. Tutors online.

May 12,  · Steps 1. List the elements of your data set. To find the range of a set, you'll need to list all of the elements of the set so 2. Identify the highest and lowest numbers in the set. 3. Subtract the smallest number in your data set from the largest number. Now that you've identified the %(6).

Last Updated: February 26, References. To create this article, 23 people, some anonymous, worked to edit and improve it over time. This article has been viewed , times. Learn more The range of a function is the set of numbers that the function can produce.

In other words, it is the set of y-values that you get when you plug all of the possible x-values into the function. This set of possible x-values is called the domain. If you want to know how to find the range of a function, just follow these steps. Next, plug in a few other x-coordinates and solve for their y-coordinates. Finally, plot those points on a graph to see the range of your function. For more on finding the range of a function, including for a relation and in a word problem, scroll down!

By using our site, you agree to our cookie policy. Cookie Settings. Learn why people trust wikiHow. Download Article Explore this Article methods. Tips and Warnings. Related Articles. Article Summary. Method 1 of Write down the formula.

This means that when you place any x into the equation, you'll get your y value. This is the function of a parabola. Find the vertex of the function if it's quadratic. But if you're working with a parabola, or any equation where the x-coordinate is squared or raised to an even power, you'll need to plot the vertex. Now, plug -1 into the function to get the y-coordinate. The vertex is -1, Graph it by drawing a point where the x coordinate is -1 and where the y-coordinate is It should be in the third quadrant of the graph.

Find a few other points in the function. To get a sense of the function, you should plug in a few other x-coordinates so you can get a sense of what the function looks like before you start to look for the range.

Since it's a parabola and the x 2 coordinate is positive, it'll be pointing upward. A third point on the graph is 1, 7. Find the range on the graph. Now, look at the y-coordinates on the graph and find the lowest point at which the graph touches a y-coordinate. In this case, the lowest y-coordinate is at the vertex, -5, and the graph extends infinitely above this point. Method 2 of Find the minimum of the function. Look for the lowest y-coordinate of the function.

Let's say the function reaches its lowest point at This function could also get smaller and smaller infinitely, so that it doesn't have a set lowest point -- just infinity. Find the maximum of the function.

Let's say the highest y-coordinate that the function reaches is This function could also get larger and larger infinitely, so it doesn't have a set highest point -- just infinity.

State the range. This means that the range of the function, or the range of y-coordinates, ranges from -3 to That's the range of the function. Let's say the graph reaches its highest point at 10 but goes downward forever. Method 3 of Write down the relation. A relation is a set of ordered pairs with of x and y coordinates. You can look at a relation and determine its domain and range. List the y-coordinates of the relation.

Remove any duplicate coordinates so that you only have one of each y-coordinate. You'll notice that you have listed "6" two times. Write the range of the relation in ascending order. Now, reorder the numbers in the set so that you're moving from the smallest to the largest, and you have your range. You're all done. Make sure that the relation is a function. For a relation to be a function, every time you put in one number of an x coordinate, the y coordinate has to be the same.

For a relation to be a function, if you put in the same input, you should always get the same output. If you put in a -7, you should get the same y coordinate whatever it may be every single time. Method 4 of Read the problem. Let's say you're working with the following problem: "Becky is selling tickets to her school's talent show for 5 dollars each. The amount of money she collects is a function of how many tickets she sells. What is the range of the function?

Write the problem as a function. In this case, M represents the amount of money she collects, and t represents the amount of tickets she sells. However, since each ticket will cost 5 dollars, you'll have to multiply the amount of tickets sold by 5 to find the amount of money. For example, if she sells 2 tickets, you'll have to multiply 2 by 5 to get 10, the amount of dollars she'll get.

Determine the domain. To determine the range, you must first find the domain. The domain is all of the possible values of t that work in the equation. In this case, Becky can sell 0 or more tickets - she can't sell negative tickets. Since we don't know the number of seats in her school auditorium, we can assume that she can theoretically sell an infinite number of tickets.

Determine the range. The range is the possible amount of money that Becky can make from her sale. You have to work with the domain to find the range. Therefore, the range of the function is any non-negative integer that is a multiple of five. That means that any non-negative integer that is a multiple of five is a possible output for the input of the function. If a function doesn't have a maximum or a minimum , then you might have to evaluate a limit to find its range.

So the range is 0,infinity using open intervals because neither limit is ever reached, only approached. Not Helpful 1 Helpful In some cases, this can be used to find upper or lower bounds for the range of a function. It obviously has a minimum, but where? Many calculus students will immediately take a derivative.

This works fine, but if you know the AM-GM inequality, there is no need for the heavy artillery of calculus. Not Helpful 2 Helpful 9. How do I find the values of x, which have an image of 15?

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