To create this article, 12 people, some anonymous, worked to edit and improve it over time. This article has been viewedtimes. Learn more Line graphs and bar graphs are both visual ways of representing two or more data sets and their interrelation. In other words, graphs are pictures that show you how one thing changes in relation to another.
Learning to read graphs properly is a matter of interpreting which pieces of information go together. Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. Log in Facebook. No account yet?
Check the scale for each graph element. This applies to both line graphs and bar graphs. Locate the graph element you want information on. So you'd read across the graph's horizontal axis until you find "August. Quantity measurements are almost always listed along the vertical "y" axis. Read directly up from "August" until you find a dot or a slanting line, on a line graph, or the top of a bar for a bar graph.
Then read straight across to the left until you hit the graph's labeled y-axis. Whatever quantity that line intersects with is the measurement for salmon return in August.
So if you read up to the dot, line or top of the bar for salmon in August then read across to the left and hit "10," you know 10, salmon returned in August.
If you hit a point between any two labeled graph increments, you have to estimate based on where you land between the 2 increments. For example, if you hit a point halfway between 10, and 15, you can safely estimate that the correct number is about 12, How do I graph population is 65,; population is ,; population is 60,?
Let the x-axis be one set of numbers say, the yearsand let the y-axis be the other set of numbers say, the populations. Plot the points corresponding to each pair of numbers a given year and its population.Math Antics - The Pythagorean Theorem
Yes No. Not Helpful 16 Helpful The trend is represented by a line moving up from left to right. Not Helpful 17 Helpful A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.Jump to navigation. A line graph is commonly used to display change over time as a series of data points connected by straight line segments on two axes. The line graph therefore helps to determine the relationship between two sets of values, with one data set always being dependent on the other set.
Line graphs are drawn so that the independent data are on the horizontal a-axis e. Line graphs are used to track changes over short and long periods of time.
There is some debate about the degree of measurement between time points. Some say the data must be measured nearly continually in order for the lines to be accurate representations. Others feel a monthly measurement is sufficient, even though the line implies data at points where no measurement was taken. Line graphs are useful in that they show data variables and trends very clearly and can help to make predictions about the results of data not yet recorded.
They can also be used to display several dependent variables against one independent variable. When comparing data sets, line graphs are only useful if the axes follow the same scales.
Some experts recommend no more than 4 lines on a single graph; any more than that and it becomes difficult to interpret. The difference between these two formats is how the line is created. In line graphs, the line is created by connecting each individual data point to show local changes, in this way, the local change from point to point can be seen.
This is done when it is important to be able to see the local change between pair of points. An overall trend can still be seen, but this trend is joined by the local trend between individual or small groups of points, whereas the line of the scatterplot does not connect individual points but instead shows the trend followed by the data.
Line graphs that connect only two points in time are called slope graphs. The colour difference outlines the difference between California and the United States.
Source: www. You would use a line graph when you want to be able to more clearly see the rate of change slope between individual data points. If the independent variable was nominal, you would almost certainly use a bar graph instead of a line graph. Both the independent variables, month and year, can be treated as being either as ordinal or scalar.
This is often the case with larger units of time, such as weeks, months, and years. Since we have a second independent variable, some sort of coding is needed to indicate which level year each line is.
We will need a legend to explain the coding scheme. Multiple line graphs have space-saving characteristics over a comparable grouped bar graph. Because the data values are marked by small marks points and not bars, they do not have to be offset from each other only when data values are very dense does this become a problem.
Another advantage is that the lines can easily dual coded. With bars, shape coding cannot be used, and pattern coding has to be substituted. Pattern coding tends to be much more limiting. Because the data point for September is missing, the line should not be connected between August and October since this would give an erroneous local slope.By Mary Jane Sterling.
The graph of a polynomial function is a smooth curve that may or may not change direction, depending on its degree. Both the cubic and the quadratic go through the origin and the point 1, 1. Just two points determine a unique line. This statement means that only one line can go through any two designated points. Lines can have x — and y -intercepts — where the lines cross the axes; the slope of a line tells whether it rises or falls and how steeply this happens.
The slope is 1, and the line goes through the point 1, 1. The only intercept of this line is the origin. The V is typical of most absolute value equations with linear terms. The only intercept of this basic absolute value graph is the origin, and the function goes through the point 1, 1. The asymptotes are actually the x — and y -axes. Each curve goes through the point 1, 1and each curve exhibits symmetry.
Except for 0, 0all the points have positive x — and y -coordinates. The curve rises gently from left to right. You can take cube roots of negative numbers, so you can find negative x- and y- values for points on this curve. The only intercept of this graph is the y -intercept at 0, 1. The x -axis is the horizontal asymptote when x is very small, and the curve grows without bound as the x -values move to the right. The function has one intercept, at 1, 0.
The graph rises from left to right, moving from the fourth quadrant up through the first quadrant. The y -axis is the vertical asymptote as the values of x approach 0 — get very small.
The quadratic polynomial graph The graph of a polynomial function is a smooth curve that may or may not change direction, depending on its degree. Back Next. Both curves go through the point 1, 1.Line graph worksheets have ample practice skills to analyze, interpret and compare the data from the graphs.
Exercises to draw line graphs and double line graphs with a suitable scale; labeling the axes; giving a title for the graph and more are included in these printable worksheets for students of grade 2 through grade 6. Try some of these worksheets for free!
30r Receptacle Wiring Diagram
Line graph worksheet pdfs have three interesting scenarios with graphs for 2nd grade and 3rd grade kids. Read the line graph and answer the word problems in each worksheet. Interpreting Line Graph: Moderate. Line graphs on different themes are shown in these printable worksheets. Interpret the data from the line graph and answer the questions.
Interpreting Line Graph: Difficult. Line graphs in these 4th grade and 5th grade worksheets represent more than ten data.
Line Graph Worksheets
Read and interpret the graph carefully to answer the questions. In these pdf worksheets, data for which the graph to be represented are given. Read the data, plot points and draw lines to complete the graph. The number usage given data gradually increases in this level. Plot points on the graph to represent the data and join them to make a line graph.
Numerous data are used in these worksheets. Attentively read the data and represent it on the grid to draw the line graph. Title, Scale, Labeling Axis, and Graphing. Draw a line graph for the represented data. Make an appropriate scale, label the x axis, y axis and write your own title for the graph. In these worksheets two sets of data are compared. Both the data are represented as a double line graph. Read them and answer the questions. Two sets of data are given. Label the axes and give a suitable title for the graph.
Members have exclusive facilities to download an individual worksheet, or an entire level.Numeracy Skills:. Subscribe to our FREE newsletter and start improving your life in just 5 minutes a day. A picture, so they say, will tell a thousand words. But what about a graph or chart? A good graph or chart can show as much as several paragraphs of words. But how do you choose which style of graph to use? This page sets out some of the basics behind drawing and creating good graphs and charts.
There are several different types of charts and graphs. The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs. They are generally used for, and are best for, quite different things. Bar graphs to show numbers that are independent of each other. Example data might include things like the number of people who preferred each of Chinese takeaways, Indian takeaways and fish and chips.
Pie charts to show you how a whole is divided into different parts. You might, for example, want to show how a budget had been spent on different items in a particular year.
Line graphs show you how numbers have changed over time. They are used when you have data that are connected, and to show trends, for example, average night-time temperature in each month of the year.
Cartesian graphs have numbers on both axes, which therefore allow you to show how changes in one thing affect another. These are widely used in mathematics, and particularly in algebra. Graphs have two axesthe lines that run across the bottom and up the side. The line along the bottom is called the horizontal or x-axisand the line up the side is called the vertical or y-axis.But while doing so is easy, a great dashboard still requires a certain amount of strategic planning and design thinking.
Knowing who your audience is will help you to determine what data you need. Knowing what story you want to tell analyzing the data tells you which data visualization type to use. Now you need to choose the right charts and graphs.
Hopefully, this post will help you create better data visualizations and dashboards that are easier to understand. But first, we will start with the thinking element of data visualization graphs — with a series of questions that will enable you to choose the very best types of data visualization. As mentioned, asking the right questions will form the foundations of choosing the right types of visualization charts for your project, strategy, or business goals.
The fundamental categories that differentiate these questions are based on:. To get a clearer impression, here is a visual overview of which chart to select based on what kind of data you need to show:. At its core, online data visualization is about taking data and transforming it into actionable insight by using it to tell a story. Data-driven storytelling is a powerful force as it takes stats and metrics and puts them into context through a narrative that everyone inside or outside of the organization can understand.
For more on data storytelling, check out our full guide for dashboard presentation and storytelling. You may be aiming your data visualization efforts at a particular team within your organization, or you may be trying to communicate a set of trends or predictive insights to a selection of corporate investors. Every data visualization project or initiative is slightly different, which means that different data visualization chart types will suit varying goals, aims, or topics.
After gaining a greater level of insight into your audience as well as the type of story you want to tell, you should decide whether you're looking to communicate a particular trend relating to a particular data set, over a predetermined time period.
What will work best? If your primary aim is to showcase the composition of your data — in other words, show how individual segments of data make up the whole of something — choosing the right types of data visualizations is crucial in preventing your message from becoming lost or diluted.
While most types of data visualizations will allow you to compare two or more trends or data sets, there are certain graphs or charts that will make your message all the more powerful. If your main goal is to show a direct comparison between two or more sets of information, the best choice would be:.
Data visualization is based on painting a picture with your data rather than leaving it sitting static in a spreadsheet or table. Technically, any way you choose to do this counts, but as outlined here, there are some charts that are way better at telling a specific story.
In these instances, incredibly effective due to their logical, data-centric designs, functionality and features are:. Here are two simple bonus questions to help make your data visualization types even more successful:. At datapine, data visualization is our forte. We know what it takes to make a good dashboard — and this means crafting a visually compelling and coherent story.
A real-time number chart is essentially a ticker that will give you an immediate overview of a particular KPI. At a glance, you can see any total such as sales, percentage of evolution, number of visitors, etc. This is probably the easiest data visualization type to build with the only consideration being the period you want to track.
Do you want to show an entire history or simply the latest quarter? It is crucial to label the period clearly so your audience understands what story you are telling. Adding a trend indicator compares your number to the previous period or to a fixed goal, depending on what you are tracking. Number charts are often the first thing people see and are the quickest to read, so if there are too many, your narrative can get diluted.
Using too many can also make your dashboard a little superficial. If you want more in-depth information, limit the number of number charts and leave room for other types of data visualization that drill down a little deeper.As every graph tells a story, the creator has to be a good story teller.
She or he needs basic knowledge in creating and interpreting the graphs produced. Also the person trying to understand the story, needs some basic knowledge about graphs. Otherwise reading a graph is like reading a text in a foreign language. Try your skills: Watch this 8-minute -video to learn more about vocabulary to use for interpreting graphs. In our example Roy counted how many kestrels and how many field mice are in a field.
For many years he notes the numbers in his diary. He produced this line chart. First you have to read the labels and the legend of the diagram. What does it visualize? So this diagram visualises how many kestrels and field mice have been sighted over the years by Roy. First we have to read the most important points. Important points are peaks, lows, turning points and intersection points. Knowing the trends, we can compare them, to find out differences and relations.
Are there common trends? Is there a pattern? Finally we can establish hypotheses how the data is related. These hypotheses have to be questioned and assessed. Therefore there are many kestrels when there are less mice. Therefore there can only be a lot of mice when there are fewer kestrels.
When there are many kestrels to see, we cannot see many mice. The numbers of sightings have very different reasons. Based on the development of the diagram and the established hypothesis we can predict future developments of the diagram.
But be careful: Predictions are always only speculations! A diagram helps to draft a hypothesis. To check a hypothesis very often you need to do an experiment. Based on a diagramgraph or chart we can predict a development in the future. But we have to be aware that it is only a prediction. This example about kestrels and mice has been published by courtesy of de. Concept and graphs by author Martin Forster.
Note: Some words in the graphs have been deleted to make it suitable for international use. Arrows to explain graphs have been added. Some text has been changed slightly to suit the audience of explainwell. This project has been funded with support from the European Commission.