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

Age 11 to 14 ShortChallenge Level

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

Ice Cream Pie

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?

Kate's Date

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?

Balancing the Books

Age 11 to 14 ShortChallenge Level

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

Range of Averages

Age 11 to 14 ShortChallenge Level

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

Choose the Mean

Age 11 to 14 ShortChallenge Level

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

Average Temperature

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?

Rendezvous

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?

Alpha United

Age 11 to 14 ShortChallenge Level

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

Bat Wings

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?

Shifting Average

Age 11 to 14 ShortChallenge Level

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

French Test

Age 11 to 14 ShortChallenge Level

What was the average score in this French test?

Sevens

Age 11 to 14 ShortChallenge Level

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

Mean Square

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?

The Average Age

Age 11 to 14 ShortChallenge Level

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

The Mean Problem

Age 11 to 14 ShortChallenge Level

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

Any Means Possible

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?

Number of Arms

Age 11 to 14 ShortChallenge Level

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

Committees

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?

Grandpa's Rock Cakes

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?

Growing Families

Age 11 to 14 ShortChallenge Level

What do these statistics about family size mean?