Stem –and–Leaf Plots

What are Stem and Leaf Plots?

Stem and leaf plots additionally are known as stem and leaf diagrams. It’s a way of managing information in a form that makes it simple to see the occurrence of different kinds of values.

It’s a graph showing numerical data assembled in order. Each data value gets broken down into a stem as well as a leaf.

Stem and leaf plots get represented in the form of a special kind of table where each \(1\)^st digit or numeral of data value gets split up into a stem and then the final digit of information in a leaf. This ” \(|\) ” symbol is utilized to exhibit stem and leaf values and it’s known as the stem and leaf plot key.

Related Topics

• Pie Graphs
• Bar Graph
• Line Graphs
• Pictographs and Tally Charts

How do you Read Stem and Leaf Plots?

A stem and leaf plot key assists in understanding the data values. The stem is shown on the left but a leaf is shown on the right. If the values of the stem and the leaves are combined, you end up with the data values.

How do you Split a Stem and Leaf Plot?

A split stem and leaf plot divides each stem into numerous stems dependent on its occurrence. We put smaller leaves on the \(1\)st part of a split stem and put the bigger leaves on successive stems.

How do you create a Stem and Leaf Plot?

Follow these steps to create a stem and leaf plot.

• Step one: Examine the info and locate the number of figures. Categorize them as two or three-digit numerals.
• Step two: Install a stem and leaf plot key. For instance, \(2\) | \(4 = 24\), as well as \(3\) | \(1\) is \(31\).
• Step three: Distinguish the \(1\)st figures as stems and make the final numeral as leaves.
• Step four: Define the data’s range, i.e. the bottom and the top values amongst your data.
• Step five: Create a vertical line. Put the stem on the lefthand column and put the leaf on the righthand column.
• Step 6: Put these stems in the stems column. Organize it in rising order beginning with the lowest possible to the highest.
• Step seven: Plot these leaves in the column compared to the stem from the least to the most horizontally.

Crucial Notes

Here are a few vital notes related to stem and leaf plots. Be sure to read them!

• If info is plotted using stem and leaf and you place the data next to the brand-new information, we may be able to notice a link between both the data and the frequency of dissemination of information.
• A stem and leaf plot key for \(3\)-digit numbers is characterized via \(2\) digits in a stem as well as \(1\) numeral in a leaf. For instance, \(43\) | \(2\) \(= 432\)
• The mean, mode, and median of the provided info are calculated easily by utilizing stem and leaf plots.

Stem –and–Leaf Plots – Example 1:

Make a stem and leaf plot for the given data.

\(42,35,13,22,17,33,25\)

Solution:

First, you should arrange data from small to large: \(13,17,22,25,33,35,42\). Draw a stem-and-leaf plot. Note that the stem is the left column and the leaf is the right column. Divide each number into two parts: stem part and leaf part. The “ones'” digit is located in the leaf column. Note if the data is in one digit, we put zero in the stem section.

Stem –and–Leaf Plots – Example 2:

Make a stem and leaf plot for the given data.

\(110,121,135,115,122,136\)

Solution:

First, you should arrange data from small to large: \(110,115,121,122,135,136\). Draw a stem-and-leaf plot. Note that the stem is the left column and the leaf is the right column. Divide each number into two parts: stem part and leaf part. The “ones'” digit is located in the leaf column. Note if the data is in one digit, we put zero in the stem section.

Exercises for Stem –and–Leaf Plots

Make stem and leaf plots for the given data.

1. \(\color{blue}{54,76,62,56,71,60,45}\)
2. \(\color{blue}{170,166,193,182,163,171,195,174}\)

1.

2.