Other tags that relate to Balancing the Books
Resilient. Creating and manipulating expressions and formulae. Maths Supporting SET. Generalising. Curious. Resourceful. Handling data. Real world. Averages. Measures of spread.There are 23 results
Broad Topics > Handling, Processing and Representing Data > Averages
Number of Arms
Age 11 to 14 Short Challenge Level:
What is the probability that the next person you meet has an above average number of arms?
The Average Age
Age 11 to 14 Short Challenge Level:
Given this information about averages, find the ages of these teachers.
Range of Averages
Age 11 to 14 Short Challenge Level:
Find these 4 numbers, given their mode, median and range.
Average Temperature
Age 11 to 14 Short Challenge Level:
The average temperature of six cities is 5$^\circ$C. What is the average temperature when two cities are added?
Bat Wings
Age 11 to 14 Short Challenge Level:
Two students collected some data on the wingspan of bats, but each lost a measurement. Can you find the missing information?
Unequal Averages
Age 11 to 14 Challenge Level:
Play around with sets of five numbers and see what you can discover about different types of average...
M, M and M
Age 11 to 14 Challenge Level:
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?
Growing Families
Age 11 to 14 Short Challenge Level:
What do these statistics about family size mean?
Shifting Average
Age 11 to 14 Short Challenge Level:
What happens to the average if you subtract 8 from all of the numbers?
Half a Minute
Age 11 to 14 Challenge Level:
Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?
Litov's Mean Value Theorem
Age 11 to 14 Challenge Level:
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
About Average
Age 11 to 14 Challenge Level:
Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?
Searching for Mean(ing)
Age 11 to 16 Challenge Level:
If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?
Wipeout
Age 11 to 14 Challenge Level:
Can you do a little mathematical detective work to figure out which number has been wiped out?
For Richer for Poorer
Age 14 to 16 Challenge Level:
Charlie has moved between countries and the average income of both has increased. How can this be so?
May the Best Person Win
Age 5 to 16
How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?
How Would You Score It?
Age 11 to 14 Challenge Level:
Invent a scoring system for a 'guess the weight' competition.
Maximum Mean
Age 14 to 16 Short Challenge Level:
What is the largest that the mean of these numbers could be?
Statistical Shorts
Age 11 to 16 Challenge Level:
Can you decide whether these short statistical statements are always, sometimes or never true?
Mediant Madness
Age 14 to 16 Challenge Level:
Kyle and his teacher disagree about his test score - who is right?
Changing Averages
Age 14 to 16 Short Challenge Level:
Find the value of $m$ from these statements about a group of numbers
NRICH is part of the family of activities in the Millennium Mathematics Project.