ClassX Video Lessons Youtube Channel TutoringHour What is a Stem-and-Leaf Plot? | How to Create and Read a Stem-and-Leaf Plot?
Welcome to our fun learning session! Today, we’re going to explore something called a stem-and-leaf plot. This is a special way to organize numbers so we can understand them better. Let’s dive in and learn how to create and read a stem-and-leaf plot using some examples!
A stem-and-leaf plot is like a table that helps us see numbers in an organized way. It has two parts: the stem and the leaf. The stem is the first part of the number, and the leaf is the last part. For example, if we have the number 15, the stem is 1, and the leaf is 5. This means 15 minutes.
Let’s look at a stem-and-leaf plot that shows how long it took 10 students to finish a test:
Each stem has leaves next to it. For example, the stem 1 has leaves 5 and 7, which means 15 and 17 minutes.
Now, let’s use the stem-and-leaf plot to answer some questions:
Let’s try making a stem-and-leaf plot using temperatures recorded from January to December. Here are the temperatures: 39, 40, 43, 48, 53, 57, 57, 60, 68, 73, 76, and 80 degrees Fahrenheit.
First, we arrange the temperatures in order and find the lowest (39) and highest (80) temperatures. Then, we create stems for each group of numbers:
We also need a key to help us read the plot. For example, a stem of 7 and a leaf of 3 means 73 degrees Fahrenheit.
Let’s answer some questions using our temperature plot:
Great job! You’ve learned how to read and create a stem-and-leaf plot. If you want more practice, visit www.tutoringhour.com. Keep exploring and have fun learning!
Choose 10 of your favorite numbers between 10 and 99. Write them down and create a stem-and-leaf plot. Remember, the stem is the first digit, and the leaf is the second digit. Share your plot with a classmate and compare your numbers!
Work in pairs to find examples of stem-and-leaf plots in textbooks or online. Discuss what data is represented and what you can learn from each plot. Present your findings to the class and explain the importance of organizing data.
Track the daily high temperatures in your city for a week. At the end of the week, create a stem-and-leaf plot to display your data. Use your plot to answer questions like: What was the warmest day? How many days were above 70 degrees?
Get creative and design a colorful poster of a stem-and-leaf plot using numbers from a topic you love, like sports scores or book page numbers. Decorate your poster and explain your plot to the class, highlighting any interesting patterns you found.
Use an online quiz tool to create a quiz about stem-and-leaf plots. Include questions about reading plots, creating plots, and interpreting data. Challenge your classmates to take your quiz and see who can get the highest score!
Here’s a sanitized version of the provided YouTube transcript:
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Hello and welcome to Tutoring Hour! In this video, you’ll learn everything you need to know about stem and leaf plots. Let’s take a look at our first stem and leaf plot, which displays the time taken by 10 students to complete a test.
First, let’s understand the parts of a stem and leaf plot. A stem and leaf plot is a table of values. The first column of the table shows the stems. We have four stems: 1, 2, 3, and 4. The second column consists of the leaves. The stem values are listed one below another in ascending order, and the leaf values are listed left to right in ascending order.
For example, 1 and 5 minutes is the key. The key tells us how to read a stem and leaf plot. We have 1 as the stem and 5 as the leaf, so we read it as 15 minutes. Then we have 1 and 7, which is 17 minutes.
Moving on to the next stem, we have 2 as the stem and 0, 2, 2, and 3 as the leaves, which represent 20 minutes, 22 minutes, 22 minutes, and 23 minutes.
Now that we are familiar with the parts, let’s answer a few questions based on the stem and leaf plot:
1. How many participants took less than 20 minutes to complete the test? We have 15 and 17, both less than 20. So, two participants took less than 20 minutes to complete the test.
2. What was the shortest time taken by a student to complete the test? The answer is 15 minutes.
3. How many children took more than 35 minutes to complete the test? We have 38, 40, and 45, so there were three children who took more than 35 minutes to complete the test.
4. How many participants took more than 20 but less than 40 minutes to complete the test? We have 22, 22, 23, 33, and 38, which makes it five participants.
5. How many participants completed the test at the same time?
6. What was the longest time taken by a student to complete the test? The answer is 45 minutes.
Let’s raise the bar and try our hands at creating a stem and leaf plot using the temperatures of a place recorded from January to December. First, we need to arrange the data in ascending order and determine the highest and lowest temperatures. We have 39, 40, 43, 48, 53, 57, 57, 60, 68, 73, 76, and 80. The lowest temperature was 39 degrees Fahrenheit, and the highest temperature was 80 degrees Fahrenheit.
The next step is to identify the stems based on the range of 39 to 80. We need six stems. We’ll draw a vertical line and list the stems on the left side of the line. Now, let’s fill out the leaves.
Our first data value is 39 degrees Fahrenheit. We have the stem 3 and we’ll write 9 as our leaf. The next value is 40 degrees Fahrenheit, with the stem 4 and the leaf 0. The third value is 43, so we’ll add another leaf, 3, to the stem 4. The next value is 48 degrees Fahrenheit, and we’ll add the leaf 8 to the stem 4. Our fifth value is 53 degrees Fahrenheit, so we’ll add the leaf 3 to the stem 5.
Now let’s make our key. We’ll pick a value from the stem; let’s take 7 and choose a value for the leaf, which will be 3. So this is our key: 7 and 3, which represents 73 degrees Fahrenheit.
Now that our stem and leaf plot is ready, let’s try to answer a few questions based on this plot:
1. What was the highest temperature recorded? 80 degrees Fahrenheit.
2. What was the lowest temperature recorded? 39 degrees Fahrenheit.
3. How many months recorded the same temperature? Two months recorded a temperature of 57 degrees Fahrenheit.
4. What is the difference between the highest and lowest temperatures? The highest temperature was 80 degrees Fahrenheit and the lowest was 39 degrees Fahrenheit. The difference is 80 – 39 = 41. Therefore, the difference between the highest and lowest temperatures is 41 degrees Fahrenheit.
5. How many months recorded a temperature below 50 degrees Fahrenheit? Four months.
6. How many months recorded a temperature of more than 60 degrees Fahrenheit? Four months.
7. How many months recorded a temperature between 50 degrees Fahrenheit and 80 degrees Fahrenheit? Seven months.
That’s a job well done! Time to wrap up. Visit www.tutoringhour.com if you need more practice. Don’t forget to like and subscribe! Thanks for watching!
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This version removes any informal language and maintains a professional tone while preserving the educational content.
Stem – In a stem-and-leaf plot, the stem is the part of the number that represents the largest place value. – In the number 47, the stem is 4 when creating a stem-and-leaf plot.
Leaf – In a stem-and-leaf plot, the leaf is the part of the number that represents the smallest place value. – In the number 47, the leaf is 7 when creating a stem-and-leaf plot.
Plot – A graphical representation of data. – We used a line plot to show the number of books each student read over the summer.
Students – Individuals who are learning or studying, often used in data collection for surveys or experiments. – The students collected data on how many hours they studied each week.
Minutes – A unit of time equal to 60 seconds, often used in measuring durations. – It took 15 minutes for the students to complete the math quiz.
Temperatures – A measure of how hot or cold something is, often recorded in degrees. – We recorded the temperatures every hour to see how they changed throughout the day.
Highest – The greatest value in a set of data. – The highest score on the math test was 98 out of 100.
Lowest – The smallest value in a set of data. – The lowest temperature recorded this week was 5 degrees Celsius.
Degrees – A unit of measurement for angles or temperatures. – The weather forecast said it would be 30 degrees Celsius today.
Organized – Arranged in a systematic way, especially to make data easier to understand. – The data was organized into a table to help us see the patterns more clearly.
