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Averages and Range - Level 1

Test your understanding of averages with this self marking quiz about mean, median and range.

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This is level 1; Mean from a list. You can earn a trophy if you get at least 7 questions correct. 

Find the means of the following sets of numbers

1.

16

17

12

Correct Wrong
2.

17

23

17

Correct Wrong
3.

5

11

8

12

Correct Wrong
4.

20

20

15

15

15

Correct Wrong
5. Five sisters collected foreign coins. The number of coins collected by the sisters was 9, 6, 3, 6, 6. Find the average (mean) number coins collected. Correct Wrong
6. Seven friends collected stacking cups. The number of cups owned by the friends is 15, 8, 15, 10, 13, 6, 10. Find the mean number of cups per person. Correct Wrong
7. The following list shows the temperatures (in degrees celsius) at 2pm on eight spring days: 12, 7, 11, 7, 10, 10, 14, 9

What was the mean temperature?

Thermometer
Correct Wrong
8. Find the mean of the first five square numbers. Correct Wrong
9. This list shown the numbers of apples in nine boxes: 13, 11, 15, 12, 19, 13, 19, 13, 20.

If all of the apples were shared equally between the nine boxes how many apples would be in each box?
Correct Wrong
10. There are six people at a bus stop. Each person is half the age of the next person in line. The mean age of the group is 21. How old is the youngest person? Correct Wrong
Check

This is Averages and Range - Level 1. You can also try:
Level 2 Level 3 Level 4 Level 5 Level 6 Level 7

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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Answers

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When planning to use technology in your lesson always have a plan B!

Isabella,

Wednesday, April 26, 2017

"The formula for finding the median is a on N items is (N+1)/2. Why is there a 'plus one' in that formula?

[Transum: Good question Isabella. The answer is here.]"

Gabriel Simamora, Harlaw Academy (Scotland)

Friday, February 19, 2021

"How do you answer question 10 to level one?
Thanks.

[Transum: Clue, let the age of the youngest person in the queue be x.]"

Transum,

Saturday, October 2, 2021

"If the average of a, b, c and d are a, what is the average of b, c and d?"

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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Description of Levels

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Level 1 - Mean from a list

Level 2 - Range and mode from a list

Level 3 - Median from a list

Level 4 - Mixed 'wordy' questions

Level 5 - Mean, median, mode and range from a frequency table

Level 6 - Mean, median, mode and range from a grouped frequency table

Level 7 - Mean, median, mode and range from a bar chart

Mixed Medians - Find the medians of sets of different types of numbers.

More Averages - A wide range of interactive activities, puzzles, lesson starters and videos about mode, median, mean and range.

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.

Reminders

Mean

To find the mean of a set of values add them together then divide by the number of values.

Example: find the mean of 8,9,10: 8+9+10=27, 27÷3=9: The mean is 9

Median

To find the median of a set of values arrange them in order then choose the middle value. If their are two middle values select the answer that is half way between those values.

Example: find the median of 4,12,7,6: In order 4,6,7,12: (6+7)÷2: The median is 6.5

A formula for finding which is the middle value if there are N values is (N+1)/2. You can see why there is an 'add one' here.

Mode

The mode of a set of values is the value that occurs most times.

Example: find the mode of 2,4,4,1: The mode is 4.

Range

The range of a set of values is the smallest value subtracted from the largest.

Example: find the range of 2,4,4,1: 4-1=3: The range is 3.

More Averages activities.

Mean, median and mode song.

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.

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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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