How To Make A Stem And Leaf Plot With 3 Digit Numbers

Stem-and-Foliage Plots: Examples

The following examples provide some practice with stem-and-leafage plots, as well as explaining some details of formatting, and showing how to create a "cardinal" for your plot.

Subjects in a psychological written report were timed while completing a certain task. Consummate a stalk-and-foliage plot for the post-obit list of times:

7.6, eight.1, 9.2, 6.8, v.9, 6.2, half dozen.i, five.viii, 7.three, 8.ane, eight.viii, 7.4, vii.7, eight.ii

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The first matter I'll do is reorder this list. It isn't required, simply information technology surely makes life easier. My ordered list is:

5.eight, five.9, 6.1, 6.ii, 6.8, vii.3, 7.4, 7.half-dozen, 7.vii, 8.ane, 8.1, eight.2, eight.8, 9.ii

These values accept 1 decimal identify, just the stem-and-leaf plot makes no accomodation for this. The stem-and-foliage plot only looks at the last digit (for the leaves) and all the digits before (for the stem). So I'll have to put a "key" or "legend" on this plot to testify what I mean by the numbers in this plot. The ones digits volition be the stem values, and the tenths will be the leaves.

stem-and-leaf plot, with key and title

Properly, every stem-and-leaf plot should accept a primal. Only many don't, and your course might not comprehend this. If it doesn't come up in your textbook or in the lecture, you can probably ignore this issue.

Complete a stem-and-leafage plot for the following two lists of form sizes:

Economics 101:nine, xiii, 14, xv, xvi, xvi, 17, xix, 20, 21, 21, 22, 25, 25, 26

Libertarianism:fourteen, 16, 17, 18, xviii, 20, xx, 24, 29

This example has ii lists of values. Since the values are like, I tin can plot them all on one stalk-and-foliage plot by drawing leaves on either side of the stem I volition utilize the tens digits as the stem values, and the ones digits equally the leaves. Since "ix" (in the Econ 101 list) has no tens digit, the stem value will be "0".

stem-and-leaf plot, with two sets of leaves, a title, and a key

Consummate a stem-and-leaf plot for the post-obit listing of values:

100, 110, 120, 130, 130, 150, 160, 170, 170, 190, 210, 230, 240, 260, 270, 270, 280, 290, 290

Since all the ones digits are zeroes, I'll do this plot with the hundreds digits being the stem values and the tens digits being the leaves. I can practice the plot like this:

stem-and-leaf plot

But the leaves are fairly long this way, considering the values are and so close together. To spread the values out a bit, I tin break each foliage into two. For instance, the leaf for the two-hundreds class tin be carve up into ii classes, existence the numbers between 200 and 240 and the numbers between 250 and 290. I can too reverse the order, and so the smaller values are at the bottom of the "stem". The new plot looks similar this:

stem-and-leaf plot with split classes

In the above example, I dissever the sets of ten into sets of five; each original leaf became two classes. For very compact information points, you lot can fifty-fifty split the leaves into five classes, like this:

stem-and-leaf plot, with five classes for each stem value

How you split the information into categories will vary with the data y'all've got, as well every bit (to a sure extent) personal taste. By and large, you're aiming to come off as being "reasonable" in your classes.

Complete a stalk-and-leaf plot for the post-obit list of values:

23.25, 24.xiii, 24.76, 24.81, 24.98, 25.31, 25.57, 25.89, 26.28, 26.34, 27.09

If I effort to use the final digit, the hundredths digit, for these numbers, the stem-and-leaf plot will exist enormously long, because these values are and then spread out. (With the numbers' get-go three digits ranging from 232 to 270, I'd have thirty-nine leaves, most of which would be empty.) And so instead of working with the given numbers, I'll round each of the numbers to the nearest tenth, and so apply those new values for my plot. Rounding gives me the post-obit listing:

23.3, 24.1, 24.8, 24.8, 25.0, 25.iii, 25.6, 25.9, 26.iii, 26.3, 27.1

Then my plot looks like this:

stem-and-leaf plot, with rounded values

In the last example above, some data was lost, due to my having rounded. Sometimes yous accept to make that sort of sentence call.

And, of course, when you're cartoon a stalk-and-leaf plot, you should always apply a ruler to construct a neat table, and y'all should characterization everything clearly. The post-obit examples provide some practice with stem-and-leaf plots, as well as explaining some details of formatting, and showing how to create a "key" for your plot.