Resources tagged with: Averages

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There are 23 results

Broad Topics > Handling, Processing and Representing Data > Averages

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May the Best Person Win

Age 5 to 16

How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?

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Half a Minute

Age 11 to 14 Challenge Level:

Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?

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Shifting Average

Age 11 to 14 Short Challenge Level:

What happens to the average if you subtract 8 from all of the numbers?

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Wipeout

Age 11 to 14 Challenge Level:

Can you do a little mathematical detective work to figure out which number has been wiped out?

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Unequal Averages

Age 11 to 14 Challenge Level:

Play around with sets of five numbers and see what you can discover about different types of average...

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Statistical Shorts

Age 11 to 16 Challenge Level:

Can you decide whether these short statistical statements are always, sometimes or never true?

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About Average

Age 11 to 14 Challenge Level:

Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

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Growing Families

Age 11 to 14 Short Challenge Level:

What do these statistics about family size mean?

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How Would You Score It?

Age 11 to 14 Challenge Level:

Invent a scoring system for a 'guess the weight' competition.

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David and Goliath

Age 14 to 18 Challenge Level:

Does weight confer an advantage to shot putters?

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Changing Averages

Age 14 to 16 Short Challenge Level:

Find the value of $m$ from these statements about a group of numbers

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Average Temperature

Age 11 to 14 Short Challenge Level:

The average temperature of six cities is 5$^\circ$C. What is the average temperature when two cities are added?

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The Average Age

Age 11 to 14 Short Challenge Level:

Given this information about averages, find the ages of these teachers.

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Range of Averages

Age 11 to 14 Short Challenge Level:

Find these 4 numbers, given their mode, median and range.

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French Test

Age 11 to 14 Short Challenge Level:

What was the average score in this French test?

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Searching for Mean(ing)

Age 11 to 16 Challenge Level:

If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

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M, M and M

Age 11 to 14 Challenge Level:

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

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For Richer for Poorer

Age 14 to 16 Challenge Level:

Charlie has moved between countries and the average income of both has increased. How can this be so?

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Maximum Mean

Age 14 to 16 Short Challenge Level:

What is the largest that the mean of these numbers could be?

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Bat Wings

Age 11 to 14 Short Challenge Level:

Two students collected some data on the wingspan of bats, but each lost a measurement. Can you find the missing information?

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Litov's Mean Value Theorem

Age 11 to 14 Challenge Level:

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

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Number of Arms

Age 11 to 14 Short Challenge Level:

What is the probability that the next person you meet has an above average number of arms?

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Mediant Madness

Age 14 to 16 Challenge Level:

Kyle and his teacher disagree about his test score - who is right?