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Stem and Leaf Plot

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.

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

Drawing a stem-and-leaf plot

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


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.

Interpret a stem-and-leaf plot


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?

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


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.


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.

This is a short 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.
The following video will show to create stem-and-leaf plots or frequency tables using given data, and answer questions based on given stem-and-leaf plots or frequency tables.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other 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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