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: Age 11-14.

We have put together a selection of these short problems as printable worksheets:

Printable worksheet: Age 11-14 ⭐   Printable worksheets: Age 11-14 ⭐⭐   Printable worksheet: Age 11-14 ⭐⭐⭐   Printable worksheet solutions


  • Small tomato seedlings in yellow pots.
    problem

    Ice Cream Pie

    Age
    11 to 14
    Challenge level

    The pie chart shows the different types of ice creams on sale. How many chocolate ice creams were sold?

  • Small tomato seedlings in yellow pots.
    problem

    Kate's Date

    Age
    11 to 14
    Challenge level

    When Kate ate a giant date, the average weight of the dates decreased. What was the weight of the date that Kate ate?

  • Small tomato seedlings in yellow pots.
    problem

    Balancing the Books

    Age
    11 to 14
    Challenge level

    How many visitors does a tourist attraction need next week in order to break even?

  • Small tomato seedlings in yellow pots.
    problem

    Rugby and Ballet

    Age
    11 to 14
    Challenge level

    What is the average weight of five ballet dancers and ten rugby players?

  • Small tomato seedlings in yellow pots.
    problem

    Choose the Mean

    Age
    11 to 14
    Challenge level

    Find 4 numbers which have a mean of 7, a median of 8 and a mode of 9.

  • Small tomato seedlings in yellow pots.
    problem

    Range of Averages

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Bat Wings

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    The Mean Problem

    Age
    11 to 14
    Challenge level

    Can you work out the four unknown numbers from the clues about their means?

  • Small tomato seedlings in yellow pots.
    problem

    Rendezvous

    Age
    11 to 14
    Challenge level

    In which town should five friends meet, in order to keep the total travelling distance as small as possible?

  • Small tomato seedlings in yellow pots.
    problem

    Sevens

    Age
    11 to 14
    Challenge level

    What is the largest number Sophie can use to have seven positive integers with a mean of 7?

  • Small tomato seedlings in yellow pots.
    problem

    Mean Square

    Age
    11 to 14
    Challenge level

    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?

  • Small tomato seedlings in yellow pots.
    problem

    Average Temperature

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Shifting Average

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    French Test

    Age
    11 to 14
    Challenge level

    What was the average score in this French test?

  • Small tomato seedlings in yellow pots.
    problem

    The Average Age

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Alpha United

    Age
    11 to 14
    Challenge level

    Can you find the mode and median number of goals scored by Alpha United?

  • Small tomato seedlings in yellow pots.
    problem

    Grandpa's Rock Cakes

    Age
    11 to 14
    Challenge level

    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?

  • Small tomato seedlings in yellow pots.
    problem

    Committees

    Age
    11 to 14
    Challenge level

    Every member of the club is a member of two committees. How many members are there in the club?

  • Small tomato seedlings in yellow pots.
    problem

    Number of Arms

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Growing Families

    Age
    11 to 14
    Challenge level

    What do these statistics about family size mean?

  • Small tomato seedlings in yellow pots.
    problem

    Any Means Possible

    Age
    11 to 14
    Challenge level

    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?

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