The systematic approach to calculating the arithmetic mean, matching the modern definition, is largely credited to the mathematician Al-Khwarizmi in the 8th and 9th centuries, who introduced decimal-based calculation methods.
AVERAGES AND SPREAD
Key questions
What is a population and a sample?
Can we calculate summary statistics for ungrouped data?
How do we work with grouped data?
Can we problem solve with summary statistics?
Can we draw a box and whisker plots?
How can we compare data sets?
3 lessons
Literacy
stories that set a frame or background
stories that accompany or intertwine
stories that introduce
stories that explain
stories that ask a question
stories that entertain
Introduce...
average spiders - 2, 4
averages small data sets - 2, 4
beginning averages - 2, 4
estimating mean - 3
first steps summarising data - 2, 4
strengthen summarising data - 2, 4
extend summarising data - 2, 4
frequency tables - 3, 4
Develop...
averages and range - 2, 4
averages change - 2, 4
averages overload - 2, 3, 4
averages puzzles - 2, 4
averages reverse questions - 2, 4
box and whisker - 2, 5
box plots and quartiles - 2, 5
mean frequency distribution - 3, 4
median and iqr - 2
sampling trees - 1, 2
Extend...
averages with fractions - 2, 4
averages with surds - 2, 4
marvel character data - 4, 6
mean with algebra - 3, 4
means of expressions - 2, 4
standards unit averages - 2, 4
standards unit box plots - 4, 5
sum difference - 2, 4
two poems - 2, 4, 6
US presidents - 2, 4, 5, 6