Transum Software

Standard Deviation

Find how 'spread out' data is by estimating and calculating this measure of dispersion

Level 1 Level 2 Level 3 Level 4 Exam-Style Description Help More Statistics

Give your answers correct to three significant figures.

This is level 3: use a calculator find the standard deviation of a data set. You can earn a trophy if you get at least 5 questions correct and you do this activity online.


33, 43, 39, 43

Correct Wrong


8.7, 6.8, 4.6, 5.9, 7.5, 2

Correct Wrong


607, -525, 720, -239

Correct Wrong


⅕, 5¾, 0, 2½

Correct Wrong


What is the standard deviation of the numbers one to ten?

Correct Wrong


What is the standard deviation of the number of days in the months of a non-leap year?

Correct Wrong
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This is Standard Deviation level 3. You can also try:
Level 1 Level 2 Level 4

Instructions

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.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

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© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=815

Description of Levels

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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.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

What is Standard Deviation?

This great video is from Jeremy Jones.

Help with Level 3

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 values: {6,18,6,18}

Standard deviation on a TInSpire

1. Type the values into a list and call that list x. 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 'x then press the OK button

4. Scroll down column D to find the standard deviation, σ

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.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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