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 basic mathematics image

Stem and leaf plot


A stem and leaf plot organizes data by showing the items in order using stems and leaves.

The leaf is the last digit on the right or the ones digits. The stem is the remaining digit or digits

Examples:

For 12, 2 is the leaf and 1 is the stem. For 45.7, 7 is the leaf and 45 is the stem

Basically, a straight vertical line is used. Then, we put all stems on the left and all leaves on the right



Stem-and-leaf-image




We will now illustrate with examples

Example #1:

24, 10, 13, 2, 28, 34, 65, 67, 55, 34, 25, 59, 8, 39, 61

First, put this data in order

2, 6, 10, 13, 24, 25, 28, 34, 34, 39, 55, 59, 61, 65, 67

We will use 0, 1, 2, 3, 4, 5, and 6 as stems. The plot is displayed below:



Stem-and-leaf-image




Example #2:

This time, the data is already in order

104, 107, 112, 115, 115, 116, 123, 130, 134, 145, 147

We will use 10, 11, 12, 13, and 14 as stems. The plot is displayed below:



Stem-and-leaf-image




Sometimes, it is useful to show leaves on both sides of the stem. Say for instance you teach algebra in two different classes.

You may in this case want to compare performance for the classes to see which class performed better

Example #3:

Grade for class A: 60, 68, 70, 75, 84, 86, 90, 91, 92, 94, 94, 96, 100, 100

Grade for class B: 60, 60, 70, 71, 73, 73, 75, 76, 77, 84, 85, 86, 91, 92

The plot is displayed below:



Stem-and-leaf-image






A quick look at the graph and you will see that class A performed a lot better than class B

Class B has more scores in the 70s than class A

Class A has more scores in the 90s than class B

This is one of the good features of stem and leaf plots.It help you to quickly look at the graph and examine the data to make sound conclusion








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