Stem-and-Leaf Plot

How to make and solve a stem-and-leaf plot: 2 examples and their solutions.

Example 1

Example

Solution

Make a form like this.

Name the titles
Stem and Leaf.

It says
use the digits from 5 to 9 as the stem.

So write
5, 6, 7, 8, and 9
in the Stem.

Find the values whose tens are 5:
56 and 52.

So, next to the Stem 5,
write the ones of the values,
6 and 2,
in the Leaf.

While writing the ones in the Leaf,
mark the values like this.

Find the values whose tens are 6:
60, 69, and 67.

So, next to the Stem 6,
write the ones of the values,
0, 9, and 7,
in the Leaf.

Mark the values
while writing the ones in the Leaf.

Find the values whose tens are 7:
74, 78, 77, 75, 70, 74, and 74.

So, next to the Stem 7,
write the ones of the values,
4, 8, 7, 5, 0, 4, and 4,
in the Leaf.

Find the values whose tens are 8:
81, 81, 85, 84, 80, and 88.

So, next to the Stem 8,
write the ones of the values,
1, 1, 5, 4, 0, and 8,
in the Leaf.

Find the values whose tens are 9:
91 and 97.

So, next to the Stem 9,
write the ones of the values,
1 and 7,
in the Leaf.

Arrange the leaves in ascending order.

Make the same form like this.
Name the titles Stem and Leaf.
And write the stems from 5 to 9.

The leaves of Stem 5 are
6 and 2.

So write the leaves:
2 and 6.

The leaves of Stem 6 are
0, 9, and 7.

So write the leaves:
0, 7, and 9.

The leaves of Stem 7 are
4, 8, 7, 5, 0, 4, and 4.

So write the leaves:
0, 4, 4, 4, 5, 7, and 8.

The leaves of Stem 8 are
1, 1, 5, 4, 0, and 8.

So write the leaves:
0, 1, 1, 4, 5, and 8.

The leaves of Stem 9 are
1 and 7.

1 and 7 are already in ascending order.

So write the same leaves:
1 and 7.

Under the Leaf,
write the key of the plot.

Choose any value:
let's choose 70.
The stem is 7.
And the leaf is 0.

Then write
Key: 7|0 = 70.

So the bottom plot is
the stem-and-leaf plot of the given data.

Example 2

Example

Solution

Key: 7|0 = 70
This means
the Stem is the tens
and the Leaf is the ones.

So the values greater than 74
are these values.

The number of these values is,
add the leaves,
3 + 6 + 2.

3 + 6 = 9

9 + 2 = 11

So there are 11 values
that are greater than 80.