Other tags that relate to Balancing the Books
Averages. Real world. Measures of spread. Generalising. Gradients. Interpreting data. Creating and manipulating expressions and formulae. Questioning. Maths Supporting SET. Handling data.There are 23 results
Broad Topics > Handling, Processing and Representing Data > Averages
Range of Averages
Age 11 to 14 Short
Challenge Level
Find these 4 numbers, given their mode, median and range.
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.
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?
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?
Changing Averages
Age 14 to 16 Short
Challenge Level
Find the value of $m$ from these statements about a group of numbers
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?
Statistical Shorts
Age 11 to 16
Challenge Level
Can you decide whether these short statistical statements are always, sometimes or never true?
Shifting Average
Age 11 to 14 Short
Challenge Level
What happens to the average if you subtract 8 from all of the numbers?
Wipeout
Age 11 to 16
Challenge Level
Can you do a little mathematical detective work to figure out which number has been wiped out?
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...
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?
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?
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?
How Would You Score It?
Age 11 to 14
Challenge Level
Invent a scoring system for a 'guess the weight' competition.
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...
Mediant Madness
Age 14 to 16
Challenge Level
Kyle and his teacher disagree about his test score - who is right?
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?
NRICH is part of the family of activities in the Millennium Mathematics Project.