Statistics Short Problems - Age 11-14
Balancing the Books
How many visitors does a tourist attraction need next week in order to break even?
Range of Averages
Find these 4 numbers, given their mode, median and range.
Choose the Mean
Find 4 numbers which have a mean of 7, a median of 8 and a mode of 9.
Rugby and Ballet
What is the average weight of five ballet dancers and ten rugby players?
Ice Cream Pie
The pie chart shows the different types of ice creams on sale. How many chocolate ice creams were sold?
Kate's Date
When Kate ate a giant date, the average weight of the dates decreased. What was the weight of the date that Kate ate?
The Average Age
Given this information about averages, find the ages of these teachers.
The Mean Problem
Can you work out the four unknown numbers from the clues about their means?
Average Temperature
The average temperature of six cities is 5$^\circ$C. What is the average temperature when two cities are added?
Rendezvous
In which town should five friends meet, in order to keep the total travelling distance as small as possible?
Alpha United
Can you find the mode and median number of goals scored by Alpha United?
Bat Wings
Two students collected some data on the wingspan of bats, but each lost a measurement. Can you find the missing information?
Shifting Average
What happens to the average if you subtract 8 from all of the numbers?
Sevens
What is the largest number Sophie can use to have seven positive integers with a mean of 7?
Mean Square
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?
Committees
Every member of the club is a member of two committees. How many members are there in the club?
Grandpa's Rock Cakes
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?
Any Means Possible
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
What is the probability that the next person you meet has an above average number of arms?
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