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# 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

### Mean Balance

### Ladybird Football Team

### Beta Rovers

### Average Discovery

### Partial Means

### Equal Means

### Smallest Range

### Acceptance Rate

### Gamma City

### Algebraic Average

### Mean Median

### Dopey Measurement

### Maximum Mean

### Very Average

### Pay Attention

### Prize Pony

### Changing Averages

### Possible Range

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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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge 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?

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge 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?