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# 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

### Rugby and Ballet

### Ice Cream Pie

### Kate's Date

### Balancing the Books

### Range of Averages

### Choose the Mean

### Rendezvous

### Alpha United

### Bat Wings

### Shifting Average

### Sevens

### Mean Square

### The Average Age

### The Mean Problem

### Average Temperature

### Any Means Possible

### Number of Arms

### Committees

### Grandpa's Rock Cakes

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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 3.

Printable worksheets containing selections of these problems are available here

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge 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?

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge 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?

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge 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?