This lesson will show how to make a dot plot,
histogram, and box plot
for the given test scores using desmos.com.
To begin, go to desmos.com, and click Graphing Calculator.
First we enter the data as a list.
Let's use a variable d for the list.
Let's enter d equals.
To enter the test scores one by one,
we must use square brackets,
which can be found on the Desmos keypad
by clicking the Show Keypad button,
the ABC button,
and the square brackets are here at the bottom.
However, if the data is in a spreadsheet,
we can simply copy and paste the data in one step.
Let's go ahead and do that.
Let's close this keypad.
I already have the data in Excel.
I'm going to highlight the data,
copy by pressing Ctrl + C,
go back to Desmos,
and paste of data by pressing Ctrl + V.
If we press Enter, we can see we have 48 test scores.
And notice how the test scores are in square brackets.
And now let's create the dot plot.
We can either type in dot plot
or go back to the Desmos keypad,
click functions, click Distribution, and click dotplot.
And notice how Desmos is telling us
we enter the data set comma the bin width.
So in our case we enter d.
By default, the bin width is one so if we press Enter,
the bin width is set to one.
Notice how we don't see anything,
we need to adjust the window.
We can do this quickly by clicking the Zoom Fit button
below the green circle.
And now we have our dot plot.
Again, if we want to change the bin width,
we can go back to the variable d,
and enter comma two for example,
and now the bin width is two.
Let's leave the bin width on one,
so we can either change the two back to a one,
or delete the one and the comma.
I will go ahead and leave it like this.
And now let's go ahead
and click and hold on the green circle on the left
and look at our options.
We can change the style of the points,
the size, as well as the color.
Let's change the style to an X.
Let's change the size to small.
And let's change the color to orange.
To close the menu, just click outside the menu.
And now we have our completed dot plot.
Let's create the histogram.
Let's click in cell three.
We can either type in histogram,
or go back to the Desmos keypad, click functions,
and under Distribution, click histogram.
And again we need to enter the data set comma the bin width.
So if we type in the variable d,
by default, the bin width is one.
And we can see the histogram right over the dot plot.
But let's have a bin width of 10
and therefore let's enter comma 10.
And now we have a histogram with a bin width of 10.
We have some options here at the bottom.
But before we go over that,
let's click and hold on the purple circle on the left,
and change the color to let's say red.
Close this menu.
And now under the bar height,
we have the option of Count, Relative or Density.
Actually let's close the Desmos keypad for a moment.
Let's click hold and drag the graph to reposition it.
Right now the bar height is on Count,
which means the height of each bar
represents the number of test scores in the interval.
If we click on Relative and then click Zoom Fit,
the sum of the heights of the bars is equal to one or 100%.
If we click on Density and then click Zoom Fit,
the sum of the area of the bars is equal to one.
Let's go back to Count
and let's adjust the window again by pressing Zoom Fit.
Notice how we do not get the original window.
So let's go ahead and click the plus button
in the upper right hand corner to zoom in,
and then reposition the graph.
For bin alignment, we have the option of Center or Left.
Right now it's set on Center, if we click on Left,
the bin alignment is now on the left.
Let's go back to the center bin alignment,
and then we'll finish by making our box plot.
To do this, we will click in cell four,
go back to the Desmos keypad, click functions,
under the Distribution menu, click boxplot
and then enter the list of data which is the variable d.
Let's close the Desmos keypad.
Notice right now the box plot is at the bottom
overlapping the dot plot and histogram.
But we can change this
by changing the offset as well as the height.
Notice how the highest bar is 21.
Let's change the offset to let's say 24 tab,
and let's change the height to let's say three.
And now the box plot looks a lot better.
So as you can see,
Desmos makes it very easy to display a data set
as a dot plot, histogram, or a box plot.
I hope you found this helpful.