Online Graph Makers

Opening chart pic

Microsoft Excel is great for making Charts and Graphs. However we can also use some free Graph makers on the Internet for doing most of the basic graphs we need for mathematics.

In this lesson we look at How to use “Kids Zone” and “Chart Go” to make a simple Bar Chart for a Shoe Length survey, as well as a Pie Chart for a Car Colour Survey.

We then look at more great free online graph makers for Stem and Leaf Plots, Box and Whisker Plots, Histograms, Scatter Plots, Straight Line Graphs, Quadratics, Parabolas, Cubics, and Trigonometry Functions.

Here at Passy World two of our favorite free online graph makers are:

“Kids Zone Make a Graph” at:

http://nces.ed.gov/nceskids/createagraph/default.aspx

and

“Chart Go” at:

http://www.chartgo.com/

If we need to do a Pie Chart, there is also the “Math Warehouse Pie Chart Maker” at:

http://chartmaker.mathwarehouse.com/create-pie-chart/

Apart from these three, there do not seem to be any other free chart making applications around on the web at the moment that are better for making Bar Charts and Pie Graphs.

 
 

Bar Chart Using Kids Zone

The Data we need to graph is a Shoe Length Survey which was done in our mathematics class, with results as follows:

Shoe Length Table

First we need to go the the Kids Zone website by clicking the following link:

http://nces.ed.gov/nceskids/createagraph/default.aspx

Next we click which type of graph we want to work on, such as Bar Chart:

Bar Chart Option

This takes us to the Design tab screen, where we can set up the following for our bar graph:

Design Tab Screen

The best way to explain the above settings is that people need to try making changes to the settings, by coming back to this tab when they have completed the graph to see the exact effect that changing each setting has.

It is important to set the “Grid Lines” to a number which will enable us later to have a vertical scale in ones, rather than inbetween decimal values.

Down the right hand side of the app, there are several Tabs which we work down in order from top to bottom, to make our completed graph.

The great thing about this process, is that we can click the update button at any time to save our work.

The even greater thing is that we can go back to any previous tab at any time, make adjustments, and then re-update and preview our graph.

We now proceed to the next tab down, which is “Data”, and here we set up our values and the colour that we want the bars to be.

Data Tab

Note that the maximum and minimum values we have set are 0 and 10, because we set eleven grid lines back on the Design screen.

0 to 10 is eleven values, (count them on your fingers), and this means with eleven grid lines we should get a vertical scale on our completed graph that goes in ones.

The next tab we complete is the “Labels” tab.

Labels Tab

On this screen we have set “show labels” to “No”, which means there will not be any numbers place above individual bars saying how high they each are.

If you like having each bar labeled at the top with its height value, then set this “labels” option to “Yes”.

We are now ready to check how our completed Graph will look, which we do by clicking on the “Preview” tab.

Preview Tab

Checking our completed graph, we noticed that we forgot to put down anywhere that the show length was measured in centimeters, cm.

This is not a problem, as we simply go click on the “Data” tab to go back to the horizontal x-axis Label box and change it to “Shoe Length in cm”.

We then click “Update” at the bottom of the screen, and the “Preview” tab so we can recheck our completed graph:

Bar Graph Redone

Finally we are ready to save or print our graph, and so we click on this last tab.

Print Download Graph

We like to use the download option, and there are several different ways to save our graph, which we access by clicking the drop down menu button.

Save Menu

The size of our saved JPG was 600×453 pixels in size, and of very good image quality.

After one save, we can also re-save in another format if we want to.

On the Download tab there is also an option where students can email completed graphs to their teacher.

Here is a YouTube video which will recap the steps we have performed to make our Bar Graph.

[youtube http://www.youtube.com/watch?v=DGTQlzNchPU]

 

That’s it for our Kid’s Zone Bar Chart. This graph maker is very popular with our mathematics students, and probably our favorite free online graphing app here at Passy World.

 
 

Bar Chart Using Chart Go

“Chart Go” is another good free online graphing application which can be found at the following link:

http://www.chartgo.com/

We will now draw the same Bar Chart as we did for Kids Zone: the “Shoe Length Survey”.

Shoe Length Table

On the first “Chart Go” screen, we set up all of our data as shown below.

Chart Go Data Set Up

We then click the bottom of page “Create Chart” button.

Chart Go Graph

After we click the “Create Chart” button we get our graph.

If we click on “Modify This Chart” we can go back and redo items on the data entry opening screen.

If we right click with our mouse on the graph, we can do a “Save As” and save a picture of our graph.

Here is the final saved picture of our “Chart Go” bar chart.

Chart Go Bar Chart

 
 

Kids Zone Pie Chart

We can also make Pie Charts and Line Graphs with the “Create a Graph” Application.

Here is the frequency table for a Car Park Survey we carried out recently.

Car Park Table

Using the Kid’s Zone “Create a Graph” free online application, here is the resulting Pie Chart.

Kids Zone Pie Chart

The nice thing about Kid’s Zone is that we can pick the colour of each piece of pie. So we made them match the car colour.

 
 

Chart Go Pie Chart

We can also make Pie Charts and Line Graphs with the “Chart Go” Application.

We used the same frequency table for a Car Park Survey we carried out recently.

Car Park Table

Using the “Chart Go” free online application, here is the resulting Pie Chart.

Chart Go Pie Chart

 
 

Math Warehouse Pie Chart Maker

Maths Warehouse Pie Chart

Maths Warehouse have a Pie Chart Maker at this link:

http://chartmaker.mathwarehouse.com/create-pie-chart/

The screens on this free online Pie Chart maker take us through step by step to make the chart.

For the colors of the pieces, we had to choose a premade color scheme and could not individually choose our own colors.

Quite a few of the colour schemes have white, which does not work very well if we use a white background, so we need to change Background colour on these.

The biggest problem is that once the chart is made, there does not seem to be any way to go back and edit it; unlike “Chart Go” or “Kids Zone” which both allow as much re-tweaking as you like.

 
 

Straight Line and Parabola Graphs

There is a great straight line plotter at the following link:

http://webgraphing.com/plotting_basic.jsp#

The setup is a calculator where we enter our line’s equation, and then set a range for the x and y axis values.

St Line Plotter Calculator

We then click the “Graph It” button, and get an (x,y) values table produced, as well as the graph.

St Line Values Table

With the graph plotted for us as well.

St Line Graph

This graphs plotter is great because it is so simple to use, and has buttons for x squared and so on.

It can also do parabolas and cubics. When we mouse over these plotted output graphs it gives us a smooth curve line of best fit, which is very impressive.

There is another excellent equation plotter at the following link:

http://rechneronline.de/function-graphs/

This has a lot of setup options, but the best approach is to enter your equation, graph it, and then adjust the other values if necessary.

It can do Straight Lines, Parabolas, and other functions.

St Line Plotter

A very similar version of this graph maker can be found at the following link:

http://graph-plotter.cours-de-math.eu/

 
 

Straight Line Between Two Points

Two Points Gradient and Slope Calculator and Drawer

All we have to do is enter the (x,y) coordinates of any two points and click “Go” and this online interactive will calculate the slope, find the rule for the line, and even plot the line for us on an X-Y Grid.

It also tells us about Parallel and Perpendicular Lines.

Click the following link to use this interactive.

http://www.mathsisfun.com/straight-line-graph-calculate.html

 
 

Interactive Straight Line Graph

The following interactive demonstration is great for showing students how changing the “m” and “c” values affects the Gradient and Y-intercept position of the resulting Straight Line Graph.

Simply adjust the sliders alongside the graph to change the effect.

Interactive Straight Line Graph

To use this free interactive online, click the following link:

http://www.softschools.com/math/algebra_1/straight_line_graph/

 
 

Interactive Parabola

The following interactive demonstration is great for showing students how changing the coefficients and constants affects the position and shape of the resulting Parabola Graph.

Simply adjust the sliders alongside the graph to change the effect.

Interactive Quadratic Parabola Graph

To use this free interactive online, click the following link:

http://www.softschools.com/math/algebra_1/quadratic_equation_graph/

 
 

Online Stem and Leaf Maker

Mr Naussbaum S&L Maker

The above online Stem and Leaf maker is from Mr Nussbaum’s web site.

Put the item values in one by one, which is a bit slow, and then when ready click “Create Graph”.

This online maker only does Groups of Ten S&L Plots.

It also does not include “empty” stems, which have no data values in their range.

Click the following link to use this free S&L maker.

http://www.mrnussbaum.com/graph/sl.htm

 
 

Advanced Online Stem and Leaf Maker

Calculator Soup S&L Maker

This S&L maker does Mean, Median etc, and if we tick the box “Split Stems in Two”, it even does a Groups of Five stem and leaf plot.

The example S&L Plot shown above is a Groups of Five Plot.

Click the following link to use this free S&L maker.

http://www.calculatorsoup.com/calculators/statistics/stemleaf.php

 
 

Box and Whisker Plots

Math Warehouse has a very nice free Box and Whisker Plot maker at the following link:

http://www.mathwarehouse.com/charts/box-and-whisker-plot-maker.php#boxwhiskergraph

The setup is easy to do, and we can also pick from a great range of colors to use for our chart.

Box Plot Input

Here is the generated Box and Whisker Plot:

Box Plot Graph

The only strange thing about the plot is the ruler scale being generated with rather obscure decimal values, rather than in whole numbers.

Nice features are that we can keep going back and changing colors, data, and options, and redraw our Box Plot as many times as we like.

When we are finished, there is a bright green download arrow that enables the chart to be saved as a GIF picture file onto our computer.

There is another free online Box and Whisker Plot maker at the following link:

http://www.alcula.com/calculators/statistics/box-plot/

However, this one generates a vertical box, and does not have the color features of Maths Warehouse.

 
 

Histograms

There is a great free Histogram maker at the following link:

http://www.wessa.net/rwasp_histogram.wasp/

Entering the data is easy, as shown below.

Note that “Bins” are an American term referring to “Class Intervals”.

Histogram Input

After we click the “Compute” button, and scroll down, the first output of a full frequency table that includes relative cumulative frequency as well, (which could be used to create an Ogive graph from, but the plotter does not do this).

Histogram Freq Table

Then scrolling down further from here we get our Histogram Graph.

Histogram Graph

There does not appear to be any facility to save the generated Histogram, and so we need to “Print Screen” capture it into a document to save it permanently.

Another thing to watch out for is that once we generate a Histogram, it does not seem to save our titles and headings back in the data input section, and so we cannot repeatedly generate graphs without typing some of this information back in.

The “Wessa” site also has a great free online range of more advanced Statistics Plotters and Analysis tools.

Check out their main page at the link below:

http://www.wessa.net/stat.wasp

 
 
Histogram Interval Width Interactive

The following interactive demonstration is great for showing students how changing the “Bin Size” or “Class Interval Width” affects the number of resulting columns on a Histogram.

Simply adjust the slider below the graph to change the effect.

Eg. Narrow Intervals or Bins gives too many columns:

Skinny Histogram

Having wider Intervals or Bins in the grouped data creates less columns, and makes a far more readable graph.

Normal Histogram

To use this free interactive online, click the following link:

http://www.stat.sc.edu/~west/javahtml/Histogram.html

 
 

Ogive Cumulative Frequency Graph

Ogive Energy Efficient Solar Studio
Image Source: http://inhabitat.com/

Ogives are “S-shaped” graphs, like the shape of the roof on this energy efficient solar studio.

We have not been able to find a good free online Ogive Plotter, but we did find a Histogram generator which gives a cumulative frequency table at the following link:

http://www.wessa.net/rwasp_histogram.wasp/

Microsoft Excel is probably the best available computing tool if you need to create an Ogive Graph of cumulative frequency.

The following is a great YouTube video on how to use Microsoft Excel to create a Histogram with an Ogive line over the top of it

 
 

Scatter Plot

There is a very good free Scatter plotter at the following site:

http://www.mathcracker.com/scatter_plot.php

Input of data is very simple.

Scatter Plot Input

Then we simply click the “Graph It” button to obtain our plot.

Scatter Plot 1

The only drawback to this plotter is that it does not draw or supply an equation for the line of best fit, or the “r” value correlation coefficient.

The following free Scatter Plotter does supply the “r” correlation coefficient value:

http://nlvm.usu.edu/en/nav/frames_asid_144_g_4_t_5.html?open=activities

Here is the same data as previously made above.

Scatter Plot Graph 2

 
 

Venn Diagram Maker

It is not easy to find any of these which generate the diagrams online.

Most are downloadable applications, which may or may not be limited to a trial version only.

It is probably best to make your own circle diagrams in Microsoft Word, PowerPoint, Paint, or Photoshop.

However, the following free online generator does makes a basic two circle diagram at this link:

http://jura.wi.mit.edu/bioc/tools/venn.php

We simply enter our data like this:

Venn Mkaer Input

Click the “Generate Diagram” button, and obtain the following results.

Venn Maker Diag

We can right click in our browser and save this image onto our own computer.

 
 

Advanced Online Graphs

Grapics Calc Parabola Image

The above online calculator can draw graphs with up to four different variables input.

As shown above, we enter a Quadratic Parabola in the form: x*x + 2*x + 1

http://www.mathopenref.com/graphfunctions.html

 

Review of Online Chart Makers

If the following page stalls on Internet Explorer, then wait a minute or two, and then click the stop script running pop up box.

The Hong Kiat blog has a review of 22 different online chart makers, but several of these are for web designers, and involve using HTML code.

http://www.hongkiat.com/blog/22-useful-chart-graph-diagram-generators/

 

Google Chart Makers

Pic of Google Gallery Graph

“Google Chart Tools” makes very nice interactive mouse-over graphs for web pages. For example, mouse over the graph below, and information should pop up for each of the pieces of pie.

 

http://code.google.com/apis/chart/interactive/docs/gallery.html

It is easiest to use the Gallery designs, and the HTML code can modified, and then cut and pasted into your website pages or Google Blogger directly. It should run the HTML and Javascript okay, and we get a really nice interactive graph that we can mouse over.

This approach will probably not work on Edublogs or Free WordPress blogs, as we believe these applications do not allow the running of Java script.

Find out more about Google HTML Java Chart Maker at the link below.

http://passyworldofict.blogspot.com.au/2012/03/google-charts-interactive-graphs.html

However this is probably not a chart maker that maths students doing graphing exercises will find useful.

“Google Chart Generator” is a different product. It runs online and makes very basic shades of one colour charts quickly, but there is no facility to label them with data values. It only does the general shape of the chart or graph.

http://www.heavytrader.it/google-chart-generator.php

 

Please note that Passy’s World of Mathematics has no financial interest in any of the websites reviewed in this lesson.

 

Related Items

Basic Histogram Graphs
Grouped Data Histograms Using Class Intervals
MS Excel Charts and Graphs
MS Excel Column Graphs and Pie Charts
Funny Graphs from Graph Jam
Real World Line Graphs
Averages – Mean Median Mode (including MS Excel)
Misleading Graphs
Stem and Leaf Plots (Stem Plots)
Real World Charts and Graphs
Free Online Math Tests
Free Online Math Videos
Free Online Math Worksheets
Free Online Calculators and Converters
GeoGebra Online Interactives and Demonstrations
Mathwarehouse Interactives
Microsoft Mathematics Free App for Windows PC
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Averages – Mean Median Mode

Homer Intro Pic for Averages
Image Source: Google Images

In this lesson we look at how to calculate the Mean, Median, Mode, and Range.

We then include a SlideShare presentation at the end that shows how to do these same calculations quickly using Microsoft Excel.

The Mean, Median, and Mode represent three different ways of finding the “Average” value for a group of numbers.

Often the “Median” or Middle value is used to express an Average for cases where there can be large variations in values at the high and low ends of the group.

Typical Examples of this are Median Income, Median House Price, Median Car Price, and so on.

Let us now look at how we calculate each of these three different types of mathematical average.

The “Mean” Average

The “Mean” is kind of mean and nasty because we have to do a lot of adding up and dividing to get the answer.

It is probably the average which is hardest to do the maths working out for.

Calculating the Mean

The “Median” Average

The Median is the middle value of our items, after we have first written our items out in order from lowest to highest.

Remember: Median = Middle (like the median strip that runs down the middle of a multi-lane divided road).

If we have an odd number of items, and put them into order, there will only be one item in the middle for the Median.

Median from Odd Number of Items

However, if there is an even number of items, then after we put the items in order, there will be two items in the middle.

What we do is find the halfway point in between these two items, by adding the two items together, and then dividing by two.

This halfway point average is the Median of the data.

Median from Even Number of Items

The “Mode” Average

The Mode is a useful average when we have repeating values in our data.

The value which repeats the most, is the one which we call the Mode.
Remember: Mode = Most Of.

Calculating the Mode

Calculating Averages Using MS Excel

The following SlideShare presentation takes the material from this lesson and shows how it can be processed using Microsoft Excel functionality.
Click the bottom right hand corner icon to go to full screen, and use the escape key to return to this web page.

If you are using an ipad or ipod to view the presentation, then simply swipe your finger across each slide to go forward and backward through the slide show.

[slideshare id=3416954&doc=medianmeanmode-100312213723-phpapp01]

 
 

Credits and References

Original PowerPoint slides for Mean and Median came from the Internet and were written by Mike Crowley.

Mike’s PowerPoint was then modified and added to by Passy’s World to include the use of Excel statistics functionality.

Mean Median Mode Videos

Here is a four minute video which shows the basics of calculating the Mean, Median, Mode, and Range.

The guy who made this video has some interesting little songs and ideas for memorizing what to do for each calculation.

[youtube http://www.youtube.com/watch?v=MTSoVQiNf5o]

 
 

Here is a more detailed thirteen minute video on exactly how to calculate the Mean Median, Mode and Range. This video includes all of the working out steps which need to be done.

[youtube http://www.youtube.com/watch?v=MY66ImqDwcA]

 
 

Mean Median Mode Song

The following one and a half minute musical animation covers how to calculate the Mean Median and Mode.

[youtube http://www.youtube.com/watch?v=uydzT_WiRz4]

 
 

Funny Mean Median and Mode Music Video

This next video is a bit different, but covers how to calculate mathematical averages in a very entertaining way.

[youtube http://www.youtube.com/watch?v=QH2obAPwfqk]

 
 

Related Items

Basic Histogram Graphs
Grouped Data Histograms Using Class Intervals
MS Excel Charts and Graphs
MS Excel Column Graphs and Pie Charts
Funny Graphs from Graph Jam
Real World Line Graphs
Free Online Graph Makers
Misleading Graphs
Stem and Leaf Plots (Stem Plots)
Real World Charts and Graphs

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Grouped Data Histograms

Pic of finished Cappuccinos CI Histogram

This lesson assumes that people already know how to draw basic Histograms.

If you do not know anything about Histograms, then click the link below to do our lesson on Basic Histograms:

http://passyworldofmathematics.com/basic-histogram-graphs/

Introduction to Grouped Data Histograms

Whenever we make a Histogram to go into a Business Report, or the Newspaper, or our Maths Work Book, we need a graph which has between 5 and 10 bars on it.

Graphs which have more than ten bars are sometimes necessary, but are very difficult to read, due to their size and complexity.

Many Bars Histogram from Google Images
Image Source: http://www.vertex42.com

 

The following free online interactive demonstration is great for seeing how changing the “Bin Size” or “Class Interval Width” affects the number of resulting columns on a Histogram.

Simply adjust the slider below the graph to change the effect.

Eg. Narrow Intervals or Bins gives too many columns:

Skinny Histogram

Having wider Intervals or Bins in the grouped data creates less columns, and makes a far more readable graph.

Normal Histogram

To use this free interactive online, click the following link:

http://www.stat.sc.edu/~west/javahtml/Histogram.html

 

Geometry Test from web slide 1

To create smaller graphs from data with lots of different number values, we set up and use groups called “Class Intervals” or “Classes”.

Geometry Test from web slide 2

Making a Frequency Table

The following is a Frequency Table which uses groups of data called “Classes” to summarise a survey of how many cappuccinos a Cafe was making per hour.

Frequency Table

In the above Frequency Table:

Note that 0-3 means zero to three cups of coffee were made in a one hour period.

The “Frequency” value of “2” for this item means that there were two separate hours where this situation occurred.

Watch this video about making Frequency Tables.

[youtube http://www.youtube.com/watch?v=ipZzfE3Nk1I]

 
 

Drawing a Class Intervals Histogram

The following video shows how to make a Histogram where we use “Class” groups which are each covering a range of ten items.

Watch this video carefully, as it covers all the steps needed to draw a Histogram from a frequency table which has been supplied to you.

[youtube http://www.youtube.com/watch?v=BH-7Odhrt5Q]

 
 

This next video shows how to make a Class Intervals Histogram directly from a set of numbers, without drawing the actual Frequency Table.

[youtube http://www.youtube.com/watch?v=a6i2Ud0QlIk]

 
 

Getting the Grand Total From a Histogram

Here is a quick one and a half minute video about reading a completed Histogram to find out the total number of items graphed in the Histogram.

[youtube http://www.youtube.com/watch?v=HCDe14HKu-Y]

 
 

Class Intervals Histogram Example

The following example is for a survey conducted at a Cafe which sells food and coffees, such as Latte, Short Black, and Cappuccinos.

The person making the coffees in the shop, (the “Barista”), was complaining to the owner that so many people were ordering Cappuccino coffees that the existing machine could not cope with the customer demand.

The Barista suggested that they get another machine just for handling cappuccinos to solve this problem.

An extra machine is very expensive to buy, and so the owner had a two day survey done to find out how many Cappuccinos were being made per hour in the Cafe.

From the survey results, they would be able to make a graph, and better understand the current problem situation.

Coffee Shop Survey Raw Data

The first step is to calculate the “Class Width” or interval group size.

If we want to have 10 bars on our final Histogram, then we do the following calculation.

Class Width for 10 Bar Histogram

However, if we want a more compact Histogram with a total of only five bars, then we do this calculation:

Class Width for 5 Bar Histogram

We have decided to do a Five Bar Histogram for our Coffee Survey.

This means from the previous calculations that we will be using groups or classes that have a width of 4.

We start our first class as 0 to 3, (written as 0-3), which will contain counts for the four items 0,1,2, and 3.

Note that if we had a situation where it was not ever possible to have a zero value, (eg. Weight of a chocolate bar in grams), then we would do this:

Our very first value would be started at 1, and class width four intervals would need to be set up as 1-4, 5-8, 9-12, etc.

The following diagram shows how we tally our Coffee Survey data into a Frequency Table that contains all of our class width four groups.

Completing the Freq Table

We now draw our five bar Histogram directly from the completed frequency table to make our finished graph.

Finished Histogram

Conclusion

The completed graph shows that around one quarter of the time the Cafe is very busy making Cappuccinos, but the other one quarter of the time they are not very busy at all. Most of the time they are making 8 to 11 Cappuccinos per hour, which along with their other coffee offerings should be manageable.

There does not seem to be enough demand overall for Cappuccinos to justify buying a second coffee machine at this stage. They would probably be better off investigating upgrading their existing machine to be able to make more coffees faster. This would possibly involve replacing the existing machine with a newer higher capacity machine that can quickly make several cups of coffee at the same time.

Making Histograms Using MS Excel

The following Slideshare document shows how to make a Histogram in MS Excel.

Use the up and down arrow icons to move down through the document.

Make the document full screen by clicking on the bottom right hand icon. This will make it possible to read the screen prints clearly.

[slideshare id=8637768&doc=histograms-110719133007-phpapp01&type=d]

 
 

Related Items

Grouped Data Mean Median Mode
Basic Histogram Graphs
MS Excel Charts and Graphs
MS Excel Column Graphs and Pie Charts
Funny Graphs from Graph Jam
Real World Line Graphs
Averages – Mean Median Mode (including MS Excel)
Free Online Graph Makers
Misleading Graphs
Stem and Leaf Plots (Stem Plots)
Real World Charts and Graphs

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Basic Histogram Graphs

Histogram Chart
Image Purchased from iStockPhoto by Passy’s World

In this lesson we will be looking at how to make a special type of statistics graph called a “Histogram”.

Drawing a Basic Histogram Video

The following three minute video shows the basics of drawing a simple Histogram.

[youtube http://www.youtube.com/watch?v=KCH_ZDygrm4]

 
 

How to Make Frequency Tables

We assume in this lesson that readers already know about survey type data, and how it can be placed into frequency tables.

The following is a Frequency Table which shows the number of coffees made per hour at a Cafe.

Note that 0-3 means zero to three cups of coffee were made in a one hour period.

The “Frequency” value of “2” for this item means that there were two separate hours where this situation occurred.

Frequency Table

If you do not have this background knowledge, then watch the following YouTube video.

Watch this video if you have not made a frequency table before.

[youtube http://www.youtube.com/watch?v=ipZzfE3Nk1I]

 
 

Histogram Example

In this example, the Police were breath testing drivers for alcohol in a particular town. They did this for seven days, and the results are shown in the diagram below.

Drunk Survey Data

The first step we need to do for our Histogram graph is work out what units the scale along the vertical axis is going to be done in: ones, twos, fives, tens, etc.

There is a specific mathematical method for doing this.

Calculating Vertical Scale

The next step is to set up the horizontal axis, and the vertical axis for our graph.

Setting up the Axes

We can now Draw and Label each axis and add the Title at the top of our Histogram.

Draw and Label the Axes and Title

Our final step is to draw in each of the bars.

We need to make them all the same width, and start our graph with a half bar blank gap in the bottom left hand corner.

Each bar needs to go up as high as its second column Frequency value.

There must not be any blank gaps in between the bars. Eg. The bars must all touch each other along their vertical edges.

(Column Graphs and Bar Charts have gaps between bars, but Histograms do not).

In the graph shown below we have coloured in the bars different colours to give maximum impact.

Histogram with Colored Bars

Note that it is not necessary to colour in all of the bars different colours.

Usually Histogram bars are made all the one colour.

This helps to easily show the overall picture of the data.

Histogram with Yellow Bars

Histograms Summary

When creating a Basic Histogram from a Frequency Table, these are the steps that must be done:

Histograms Summary

Related Items

Grouped Data Histograms Using Class Intervals
Grouped Data Mean Median Mode
MS Excel Charts and Graphs
MS Excel Column Graphs and Pie Charts
Funny Graphs from Graph Jam
Real World Line Graphs
Averages – Mean Median Mode (including MS Excel)
Free Online Graph Makers
Misleading Graphs
Stem and Leaf Plots (Stem Plots)
Real World Charts and Graphs

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If you are a subscriber to Passy’s World of Mathematics, and would like to receive a free PowerPoint version of this lesson valued at $3.99, but 100% free to you as a Subscriber, then email us at the following address:
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Funny Graphs from GraphJam

 

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Image Source: Graphjam.com

GraphJam is an excellent website where people make graphs for fun. The idea is to have a laugh at popular culture, music, and movies.
There is even opportunity for people to make their own graphs and submit them to the site.

However, GraphJam is not always a G-Rated “family-friendly site”. If you visit their site, you may find some graphs which are not quite politically correct.

The following selection contains some of our favourite graphs, which we mostly obtained links to from the Australian website: http://www.inmycommunity.com.au/ rather than from GraphJam itself.

There are quite a few graphs, so depending on your internet connection speed, they may take a while to fully load onto this page.

 

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Image Source: Graphjam.com

 
 

To find more hilarious graphs about all sorts of everyday things, from the Mundane to the Insane, check out the GraphJam site at the following link:
http://graphjam.memebase.com/

Related Items

Basic Histogram Graphs
Grouped Data Histograms Using Class Intervals
MS Excel Charts and Graphs
MS Excel Column Graphs and Pie Charts
Real World Line Graphs
Averages – Mean Median Mode (including MS Excel)
Free Online Graph Makers
Misleading Graphs
Stem and Leaf Plots (Stem Plots)
Real World Charts and Graphs

If you enjoyed this post, why not get a free subscription to our website.
You can then receive notifications of new pages directly to your email address.

Go to the subscribe area on the right hand sidebar, fill in your email address and then click the “Subscribe” button.

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If you would like to submit an idea for an article, or be a guest writer on our blog, then please email us at the hotmail address shown in the right hand side bar of this page.

Enjoy,
Passy

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Posted in Graphs, Statistics | Tagged , , | 12 Comments