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8th grade / Statistics / Discrete data / Stem and leaf / Stem & leaf: 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 our quick math tests you will be revising "Stem & leaf: mode median range" in 2 simple steps. The math in our tests consists of 16 questions that ask you to find the mode, median and range for each of these stem and leaf diagrams.
These math tests are designed to round off your learning experience here at Free Math Games by testing whether you can correctly recognize the math you have learned (in the multiple choice test) and that you can correctly enter the correct answers (in the writing test).
Make sure you have chosen the correct topic before starting! Although these tests are timed, try to relax and concentrate on getting the answers right at first - later you can try the tests again more quickly.
The two types of tests are:
Key features of our math tests include:
You should expect to score 8+ / 10 in each test before you select a new topic. It is a good idea to repeat the test for each topic you do after two weeks to "reinforce" the math for that topic
UXO * Duck shoot * The frog flies * Pong * Cat and mouse * The beetle and the bee
Rock fall * Four in a row * Sow grow * Choose or lose * Mix and match
This is a multiple choice activity similar to "What is it" in the Math lessons - you are shown a randomly selected question from the topic you are using. A selection of topic answers are displayed as a list. If you click/tap the speaker beside any answer you will hear the audio for that answer.
For each question, you must click on the answer that matches that question. If your answer is correct you will hear a bell and one star will be lit. The next question will be shown. If your answer is wrong, a box will open showing you what the correct answer was.
The test is timed, and the clock starts when you click the Start button. The clock stops when you click your final answer. At the end of your test a screen will tell you how many of the questions you got right and how long you took to complete the test.
The writing test checks whether you can type the correct answer using your keyboard. This test is also timed. You can do the test many times until you get a good score. To start the test, click on the "Writing test" sign in the navigation board, then click on the "Start the test" arrow.
A random problem from your selected topic is shown. Beneath the problem there is a white box into which you should type the answer. If you need a little help you can click on the "Help me" button for a tip. Only use the help if you really need to.
If you type the answer correctly your device will automatically light a star. If you have entered your answer and no star lights up, click on the tick or press Enter to check your answer. When you have tried all the questions, a screen will show you how many questions you answered correctly and how long it took.
* Try to score 8 out of 10 in both test before you choose a new topic *
* It is OK to do the tests many times if you need to *
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