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'Stem & leaf: mode median range' for 8th grade
8th grade / Statistics / Discrete data / Stem and leaf / Stem & leaf: mode median range
Stem and leaf diagrams: mode, median, range
A stem and leaf diagram is a way of displaying a data set that shows the range of data in tabular form. Each data point is split into two parts, often splitting the first digit (the stem) from the remaining digit or digits (the leaf). This allows for a graphical division of the data into groups based on stems, with individual data points distinguished by their leaves. Stem and leaf diagrams can also be used for decimal numbers by splitting on the decimal point.
Stem and leaf diagrams make it relatively easy to find the mode, median and range for a data set. To find the mode from a stem and leaf diagram, look for the leaf value that appears most often in one row (do not count leaves from different rows as these are not the same value). The modal value is the most common leaf within one row combined with the stem according to the rule given by the diagram key.
To find the median value in a stem and leaf diagram, you should ensure that the diagram is ordered (stem values ascending from top to bottom, leaf values ascending from left to right). Then, count all the leaves in all the rows, and divide that number + 1 by 2. So if there are 15 leaves, the median value is at position (15 + 1) / 2 = 8. Count along all the leaves to the eighth leaf and read off the value as above by combining it with the stem value. If the median position falls between two leaves, calculate the median leaf value by adding the two values and dividing by two before combining it with the stem value.
To find the range of a stem and leaf diagram, take away the smallest value (stem and leaf) from the largest value (stem and leaf).
In this topic you are asked to calculate the mode, median or range of a series of stem and leaf diagrams. You will learn how useful these diagrams are for quickly deriving these values due to the way the data is laid out. There are 6 question/answer pairs in the lessons for this topic, and an additional 10 question/answer pairs in all the games and tests.
With these interactive math lessons you will be learning "Stem & leaf: mode median range" from
8th grade / Statistics / Discrete data in 3 easy steps. The math in our lessons consists of 6 questions that ask you to find the mode, median and range for each of these stem and leaf diagrams.
There are 3 easy math lesson activities in this "Stem & leaf: mode median range" tutorial. These activities progress step by step to help you the learner gradually master this math topic. The activities are based on "3 stage questioning", a method of learning that quickly and easily builds your confidence as you work through the short series of lessons that strengthen your knowledge of the math that you want to learn.
When you have completed the tutorial for a topic, you should try some of our games before finally doing the test for your chosen topic. See the Help box below for detailed instructions on how to use the lesson activities to help you learn your math more easily.
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'Stem & leaf: mode median range' for 8th grade
Introduction to the math topic
You start the tutorial with a lesson that introduces the math you will be learning. You will see a set of questions one at a time, and for each question you will see the written answer and also hear the answer to that question.
Repeat the question/answer by clicking on the brown speaker sign. Repeat the question/answer and expand the question graphic by clicking on the question box. Move between questions using the arrow buttons below the question. If there is additional information available for your chosen topic, the "i" button on the left upright bar will be brown on white. Click on the button to load the additional lesson information into the main interface.
Either / Or math lesson
This lesson moves on from the "Introduction" lesson and offers you two possible answers to each question. So, you will see a question then a voice will ask "Is this ... or is it ..." and you will have to choose which of the answers is the one that matches the question.
You choose an answer by clicking or tapping on one of the two answer boxes below the question. You can play the audio for each answer again by clicking on the speaker icon beside the written answer (if robot speech is available and enabled). The program will let you know each time whether you answered correctly. A star will light up red for a wrong answer or white/black for a correct answer.
This lesson asks you the questions in a random order compared to the introduction. At the end of the lesson, you can choose whether to repeat the lesson or move on to the next one.
What is it? math lesson
The final lesson of the tutorial shows you multiple possible answers for each question - you must choose the correct one. You are asked a question and below it are a list of two, three, or four possible written/numeric answers from this topic. Pressing the speaker icon will play the math audio for that answer.
For each picture, click on the answer that matches the question. The program will tell you whether you are right or not. As with the Either / Or activity a system of stars indicate your right and wrong answers. The What is it? lesson will show you all the questions you learned in the Introduction but in a random order.
When you complete the "What is it?" lesson, you can choose whether to go on to play some games with this topic, or whether you want to repeat some or all of the lesson activities in this tutorial. You should expect to get 80% of the answers correct in most of the activities before trying some of the Math games with this topic.
