Other tags that relate to Balancing the Books
Creating and manipulating expressions and formulae. Working systematically. Maths Supporting SET. Measures of spread. Generalising. Speed and acceleration. Sport. STEM - General. Handling data. Averages.There are 23 results
Broad Topics > Handling, Processing and Representing Data > Averages
Changing Averages
Age 14 to 16 Short Challenge Level:
Find the value of $m$ from these statements about a group of numbers
Range of Averages
Age 11 to 14 Short Challenge Level:
Find these 4 numbers, given their mode, median and range.
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?
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?
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?
Maximum Mean
Age 14 to 16 Short Challenge Level:
What is the largest that the mean of these numbers could be?
The Average Age
Age 11 to 14 Short Challenge Level:
Given this information about averages, find the ages of these teachers.
Growing Families
Age 11 to 14 Short Challenge Level:
What do these statistics about family size mean?
Half a Minute
Age 11 to 14 Challenge Level:
Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?
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?
Statistical Shorts
Age 11 to 16 Challenge Level:
Can you decide whether these short statistical statements are always, sometimes or never true?
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...
Wipeout
Age 11 to 16 Challenge Level:
Can you do a little mathematical detective work to figure out which number has been wiped out?
Shifting Average
Age 11 to 14 Short Challenge Level:
What happens to the average if you subtract 8 from all of the numbers?
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...
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?
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?
How Would You Score It?
Age 11 to 14 Challenge Level:
Invent a scoring system for a 'guess the weight' competition.
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?
Mediant Madness
Age 14 to 16 Challenge Level:
Kyle and his teacher disagree about his test score - who is right?
NRICH is part of the family of activities in the Millennium Mathematics Project.