List

Statistics Short Problems - Age 11-14



This is part of our collection of Short Problems.

You may also be interested in our longer problems on Statistics - Stage 3.

Printable worksheets containing selections of these problems are available here

Choose the mean
problem

Choose the mean

Age
11 to 14
Challenge level
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Find 4 numbers which have a mean of 7, a median of 8 and a mode of 9.
Placeholder: several colourful numbers
problem

Range of averages

Age
11 to 14
Challenge level
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Find these 4 numbers, given their mode, median and range.
Ice Cream Pie
problem

Ice cream pie

Age
11 to 14
Challenge level
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The pie chart shows the different types of ice creams on sale. How many chocolate ice creams were sold?
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?
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?
Rugby and Ballet
problem

Rugby and ballet

Age
11 to 14
Challenge level
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What is the average weight of five ballet dancers and ten rugby players?
Mean Square
problem

Mean square

Age
11 to 14
Challenge level
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Can you fill this square so that the number in the middle of each line is the mean of the two numbers on either side of it?
Placeholder: several colourful numbers
problem

Average temperature

Age
11 to 14
Challenge level
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The average temperature of six cities is 5$^\circ$C. What is the average temperature when two cities are added?
Placeholder: several colourful numbers
problem

Shifting average

Age
11 to 14
Challenge level
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What happens to the average if you subtract 8 from all of the numbers?
Placeholder: several colourful numbers
problem

French test

Age
11 to 14
Challenge level
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What was the average score in this French test?
Placeholder: several colourful numbers
problem

The average age

Age
11 to 14
Challenge level
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Given this information about averages, find the ages of these teachers.
Alpha United
problem

Alpha united

Age
11 to 14
Challenge level
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Can you find the mode and median number of goals scored by Alpha United?
Bat Wings
problem

Bat wings

Age
11 to 14
Challenge level
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Two students collected some data on the wingspan of bats, but each lost a measurement. Can you find the missing information?
The Mean Problem
problem

The mean problem

Age
11 to 14
Challenge level
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Can you work out the four unknown numbers from the clues about their means?
Rendezvous
problem

Rendezvous

Age
11 to 14
Challenge level
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In which town should five friends meet, in order to keep the total travelling distance as small as possible?
Sevens
problem

Sevens

Age
11 to 14
Challenge level
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What is the largest number Sophie can use to have seven positive integers with a mean of 7?
Committees
problem

Committees

Age
11 to 14
Challenge level
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Every member of the club is a member of two committees. How many members are there in the club?
Placeholder: several colourful numbers
problem

Number of arms

Age
11 to 14
Challenge level
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What is the probability that the next person you meet has an above average number of arms?
Placeholder: several colourful numbers
problem

Growing families

Age
11 to 14
Challenge level
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What do these statistics about family size mean?
Placeholder: several colourful numbers
problem

Any means possible

Age
11 to 14
Challenge level
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Can you find a way to break one of these rods so that one of the pieces is equal to the mean of the other two?
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?