# 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.

## 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.

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