Averages

There are 41 NRICH Mathematical resources connected to Averages
PDF
problem

PDF

Age
16 to 18
Challenge level
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Given a probability density function find the mean, median and mode of the distribution.
Litov's Mean Value Theorem
problem

Litov's Mean Value Theorem

Age
11 to 14
Challenge level
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Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
Spread
problem

Spread

Age
16 to 18
Challenge level
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Given the mean and standard deviation of a set of marks, what is the greatest number of candidates who could have scored 100%?
Marathon Mission
problem

Marathon Mission

Age
14 to 16
Challenge level
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Minnie trained more for the London Marathon this year, so her speed increased. By what percentage did her time decrease?
Grandpa's Rock Cakes
problem

Grandpa's Rock Cakes

Age
11 to 14
Challenge level
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Grandpa made a super-heavy rock cake. Five people have guessed the weight of the cake. Can you work out the weight of his cake?
Balancing the Books
problem

Balancing the Books

Age
11 to 14
Challenge level
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How many visitors does a tourist attraction need next week in order to break even?
Kate's Date
problem

Kate's Date

Age
11 to 14
Challenge level
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When Kate ate a giant date, the average weight of the dates decreased. What was the weight of the date that Kate ate?
Mediant madness
problem

Mediant madness

Age
14 to 16
Challenge level
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Kyle and his teacher disagree about his test score - who is right?
Placeholder: several colourful numbers
problem

changing averages

Age
14 to 16
Challenge level
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Find the value of $m$ from these statements about a group of numbers