Find how 'spread out' data is by estimating and calculating this measure of dispersion
Give your answers correct to three significant figures.
This is level 4: use a calculator find the standard deviation of grouped data. You can earn a trophy if you get at least 4 questions correct and you do this activity online.
Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.
When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.
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© Transum Mathematics :: This activity can be found online at:
Level 1 - Compare small data sets by estimating their dispersion
Level 2 - Without a calculator find the standard deviation of a small data set
Level 3 - Use a calculator find the standard deviation of a data set
Level 4 - Use a calculator find the standard deviation of grouped data
Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).
More Statistics Resources including lesson Starters, visual aids, investigations and self-marking exercises.
See the National Curriculum page for links to related online activities and resources.
This great video is from Jeremy Jones.
Different calculators will have different ways for you to calculate the standard deviation. The manual that came with your calculator is your best source of information.
Here are some screen shots showing the method for a TInSpire.
Example: find the standard deviation of the following times:
|Number of seconds||115||120||125||130||135|
1. Type the values into a list and call that list t. Type the frequencies into a list called f. Put the cursor at the top of the next column.
2. Press the menu button - Statistics - Stat Calculations - One-variable Statistics
3. In the first input box scroll down to find 't and in the second input box scroll down to find 'f then press the OK button
4. Scroll down column E to find the standard deviation, σ
Before entering grouped data into the calculator you need to find the mid-points of the groups of data. When you have done that follow the instructions above.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.