Statistics Short Problems: Age 14-16

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Statistics: Age 14-16.

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

Printable worksheet: Age 14-16 ⭐   Printable worksheets: Age 14-16 ⭐⭐   Printable worksheet: Age 14-16 ⭐⭐⭐   Printable worksheet solutions


  • Small tomato seedlings in yellow pots.
    problem

    Average Discovery

    Age
    14 to 16
    Challenge level

    Find the missing number if the mean, median and mode are all the same.

  • Small tomato seedlings in yellow pots.
    problem

    Partial Means

    Age
    14 to 16
    Challenge level

    From the mean of 64 numbers, and the mean of the first 36 of these numbers, can you work out the mean of the last 28 numbers?

  • Small tomato seedlings in yellow pots.
    problem

    Ladybird Football Team

    Age
    14 to 16
    Challenge level

    The ladybird squad members have an average of 12 spots each. How many spots does the pine ladybird have?

  • Small tomato seedlings in yellow pots.
    problem

    Mean Balance

    Age
    14 to 16
    Challenge level

    Given information about the mean, can you work out the missing numbers?

  • Small tomato seedlings in yellow pots.
    problem

    Beta Rovers

    Age
    14 to 16
    Challenge level

    Can you find the mode and median number of goals scored by Beta Rovers?

  • Small tomato seedlings in yellow pots.
    problem

    Algebraic Mean

    Age
    14 to 16
    Challenge level

    The mean of three numbers x, y and z is x. What is the mean of y and z?

  • Small tomato seedlings in yellow pots.
    problem

    Dopey Measurement

    Age
    14 to 16
    Challenge level

    How does Snow White need to change her result after the mix-up?

  • Small tomato seedlings in yellow pots.
    problem

    Equal Means

    Age
    14 to 16
    Challenge level

    What value of x makes the mean of the first three numbers in this list equal to the mean of the other four?

  • Small tomato seedlings in yellow pots.
    problem

    Acceptance Rate

    Age
    14 to 16
    Challenge level

    The mean number of students has changed, so how many students applied to a school?

  • Small tomato seedlings in yellow pots.
    problem

    Mean Median

    Age
    14 to 16
    Challenge level

    Can you work out the median weight of these children from the given means?

  • Small tomato seedlings in yellow pots.
    problem

    A Mean Calculation

    Age
    14 to 16
    Challenge level

    What is the mean of this set of numbers?

  • Small tomato seedlings in yellow pots.
    problem

    Smallest Range

    Age
    14 to 16
    Challenge level

    What is the smallest possible range that these 4 integers could have?

  • Small tomato seedlings in yellow pots.
    problem

    Maximum Mean

    Age
    14 to 16
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Driving Test

    Age
    14 to 16
    Challenge level

    Which driving test centre has the highest pass rate?

  • Small tomato seedlings in yellow pots.
    problem

    Sample

    Age
    14 to 16
    Challenge level

    Can you match the samples to the populations?

  • Small tomato seedlings in yellow pots.
    problem

    Gamma City

    Age
    14 to 16
    Challenge level

    Can you find the mode and median number of goals scored by Gamma City?

  • Small tomato seedlings in yellow pots.
    problem

    Jewellery Boxes

    Age
    14 to 16
    Challenge level

    Can you find the value of the jewels?

  • Small tomato seedlings in yellow pots.
    problem

    Prize Pony

    Age
    14 to 16
    Challenge level

    When Helen moved her favourite pony from one stable to another, the average value of the horses in each stable increased by £10000. What is the total value of all the ponies?

  • Small tomato seedlings in yellow pots.
    problem

    Possible Range

    Age
    14 to 16
    Challenge level

    The median of a set of five positive integers is one more than the mode and one less than the mean. Can you find the largest range possible?

  • Small tomato seedlings in yellow pots.
    problem

    Pay Attention

    Age
    14 to 16
    Challenge level

    If some of the audience fell asleep for some of this talk, what was the average proportion of the talk that people heard?

  • Small tomato seedlings in yellow pots.
    problem

    Changing Averages

    Age
    14 to 16
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Very Average

    Age
    14 to 16
    Challenge level

    If each number in this list is the average of the two numbers before it, what is the value of a?

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