List

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 - Stage 4.

Printable worksheets containing selections of these problems are available here

Beta Rovers
problem

Beta Rovers

Age
14 to 16
Challenge level
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Can you find the mode and median number of goals scored by Beta Rovers?
Average Discovery
problem

Average Discovery

Age
14 to 16
Challenge level
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Find the missing number if the mean, median and mode are all the same.
Partial Means
problem

Partial Means

Age
14 to 16
Challenge level
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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?
Ladybird Football Team
problem

Ladybird Football Team

Age
14 to 16
Challenge level
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The ladybird squad members have an average of 12 spots each. How many spots does the pine ladybird have?
Mean balance
problem

Mean balance

Age
14 to 16
Challenge level
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Given information about the mean, can you work out the missing numbers?
Placeholder: several colourful numbers
problem

Maximum mean

Age
14 to 16
Challenge level
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What is the largest that the mean of these numbers could be?
Placeholder: several colourful numbers
problem

Driving test

Age
14 to 16
Challenge level
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Which driving test centre has the highest pass rate?
Placeholder: several colourful numbers
problem

Sample

Age
14 to 16
Challenge level
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Can you match the samples to the populations?
Gamma City
problem

Gamma City

Age
14 to 16
Challenge level
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Can you find the mode and median number of goals scored by Gamma City?
Algebraic Average
problem

Algebraic Average

Age
14 to 16
Challenge level
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The mean of three numbers x, y and z is x. What is the mean of y and z?
Dopey Measurement
problem

Dopey Measurement

Age
14 to 16
Challenge level
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How does Snow White need to change her result after the mix-up?
Equal Means
problem

Equal Means

Age
14 to 16
Challenge level
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What value of x makes the mean of the first three numbers in this list equal to the mean of the other four?
Acceptance Rate
problem

Acceptance Rate

Age
14 to 16
Challenge level
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The mean number of students has changed, so how many students applied to a school?
Mean Median
problem

Mean Median

Age
14 to 16
Challenge level
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Can you work out the median weight of these children from the given means?
A Mean Calculation
problem

A Mean Calculation

Age
14 to 16
Challenge level
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What is the mean of this set of numbers?
Placeholder: several colourful numbers
problem

Smallest range

Age
14 to 16
Challenge level
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What is the smallest possible range that these 4 integers could have?
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
Placeholder: several colourful numbers
problem

Very Average

Age
14 to 16
Challenge level
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If each number in this list is the average of the two numbers before it, what is the value of a?
Jewellery Boxes
problem

Jewellery Boxes

Age
14 to 16
Challenge level
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Can you find the value of the jewels?
Prize Pony
problem

Prize Pony

Age
14 to 16
Challenge level
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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?
Possible Range
problem

Possible Range

Age
14 to 16
Challenge level
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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?
Pay Attention
problem

Pay Attention

Age
14 to 16
Challenge level
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If some of the audience fell asleep for some of this talk, what was the average proportion of the talk that people heard?