The graph may continue to the left and right beyond what is viewed, but based on the portion of the graph that is visible, we can determine the domain as \(1973≤t≤2008\) and the range as approximately \(180≤b≤2010\). Quickly determine the range of a function using these equations and examples The range of a function is the set of numbers that the function can produce. The output quantity is “thousands of barrels of oil per day,” which we represent with the variable \(b\) for barrels. This is easy to tell from a quadratic functions vertex form, y a ( x h) 2 + k. The input quantity along the horizontal axis is “years,” which we represent with the variable \(t\) for time. It turns out all we need to know in order to determine the range of a quadratic function is the y -value of the vertex of its graph, and whether it opens up or down. In a game, points were won and lost, represented by integers.\): Graph of the Alaska Crude Oil Production where the vertical axis is thousand barrels per day and the horizontal axis is years (credit: modification of work by the U.S. 1.įind the range of these distances run by 6 marathon runners:įind the range of these race times given in seconds:ħ.3 s, 8.4 s, 8.0 s, 7.5 s, 9.4 s, 8.7 s, 9.1 sĮmployees at a retail store are paid the hourly wages listed below. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. Then subtract the smallest value from the largest value in the set.ĭirections: Click once in an ANSWER BOX and type in your answer then click ENTER. To find it, first order the data from least to greatest. It is the most straightforward measure of variability. Summary: The range of a set of data is the difference between the highest and lowest values in the set. In statistics, a range is the spread of data from the minimum and maximum value in the distribution. Highest - lowest = 8.3 hr - 2.7 hr = 5.6 hr What is the range of times given in hours below? Highest - lowest = 19 -12 = 19 + +12 = +31Įxample 3: A marathon race was completed by 5 participants. Kaiser listed 9 integers on the blackboard. Solution: Ordering the data from least to greatest, we get:Įxample 2: Ms. Gasoline prices varied from state to state. It takes longer to find the IQR, but it sometimes gives us more useful information about spread. To find the range, follow these steps: Order all values in your data set from low to high. The range is the easiest measure of variability to calculate. The range of a function is all the possible values of the dependent variable y. Range is a quick way to get an idea of spread. The formula to calculate the range is: R range. Looking at spread lets us see how much data varies. Range and interquartile range (IQR) both measure the 'spread' in a data set. Let's take a closer look.Įxample 1: The Jaeger family drove through 6 midwestern states on their summer vacation. Comparing range and interquartile range (IQR) Google Classroom. Similarly, the range is all real numbers except 0. Since the function is undefined when x -1, the domain is all real numbers except -1. Set the denominator equal to zero and solve for x. This is especially important with large sets of data. Find the domain and range of the following function. In the examples below, our first step is to order the data from least to greatest. Definition: The range of a set of data is the difference between the highest and lowest values in the set.
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