In these lessons, we will learn how to draw and interpret a Stem and Leaf Plot.

**Related Pages**

Stem and Leaf Diagrams

Frequency Distributions

Statistics Lessons

When there are many numbers in a set of data, we can construct a **stem-and-leaf plot**
to show the data and make it easier to read.

The following diagram shows how to construct a stem-and-leaf plot or stemplot. Scroll down the page for more examples and solutions on how to construct and use stem-and-leaf plots.

**Example:**

Construct a stem-and-leaf plot for the following set of data.

28 13 26 12 20 14 21 16 17 22

17 25 13 30 13 22 15 21 18 18

16 21 18 31 15 19

**Solution:**

Step 1: Find the least number and the greatest number in the data set.

The greatest number is 31 (3 in the tens place)

The smallest number is 12 (1 in the tens place)

Step 2: Draw a vertical line and write the digits in the tens places
from 1 to 3 on the left of the line. The tens digit form the **stems**.

Step 3: Write the units digit to the right of the line. The units
digits form the **leaves**.

Step 4: Rewrite the units digits in each row from the least to the greatest.

Step 5: Include an explanation (or key).

**Example:**

The following stem-and-leaf plot shows the ages of a group of people in a room.

a) How many people were there in the room?

b) Two people have the same age. What is that age?

c) What is the mode, median and mean of the ages?

**Solution:**

a) We count the number of digits on the right of the line (leaves). There were 12 people in the room.

b) The two people were 22 years old.

c) The **mode** is 22.

The **median** can be obtained from the average 6th and 7th data.

The average of 22 and 24 is 23.

The **median** age is 23

To get the **mean**, we have to first get the total ages.

17 + 18 + 19 + 20 + 22 + 22 + 24 + 25 + 26 + 41 + 42 + 44 = 320

The **mean** = = 26.67

**Stem and Leaf Plots**

This video shows how to make a stem and leaf plot, also known as a stem plot.

**Statistics - How to make a stem and leaf plot**

This example shows how to make a stem and leaf plot. Remember that the leading values become our stems
and the trailing values the leaves. There also may be more than one way to represent a stem and leaf plot.

**Lesson on Stem and Leaf Plots**

It includes demonstration on how to create and read a stem-and-leaf plot and also how to use it to
find Median and Quartiles.

**How to create stem-and-leaf plots or frequency tables using given data**

Answer questions based on given stem-and-leaf plots or frequency tables.

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

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