MULTIPLE
CHOICE
8th grade / Statistics / Continuous data / Continuous grouped data / Grouped frequency table: midpoint
Continuous data can be represented in a "Grouped frequency table" where each class (group) covers the data points within a certain range, and the classes together cover the entire range of the data.
Grouped frequency tables are useful when there are so many raw data points that discrete values would become impossible. A limitation of continuous data is that individual data points are lost so that calculations of the mean, mode or range of the original discrete data points becomes impossible. Instead techniques have been developed to approximate these values for continuous data.
The mean of grouped continuous data can be approximated by finding the midpoint for each class multiplied by the frequency of that class and adding those values then dividing by the total frequency count of all the classes.
The midpoint is calculated by adding the highest number in a range to the lowest number and dividing by 2. So if a grouped frequency table has the classes: 1-10, 11-20, 21-30, and you are asked for the midpoint of the range 21-30, the calculation is 21 + 30 / 2 which is 25.5.
In this topic you are asked to find the midpoint for a specified class in a series of grouped frequency tables. There are 8 question/answer pairs in the lessons, and an additional 8 question/answer pairs in all the games and tests.
With our quick math tests you will be revising "Grouped frequency table: midpoint" in 2 simple steps. The math in our tests consists of 16 questions that ask you to identify the correct midpoint for the specified range in each grouped frequency table.
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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