2. Mean, Median, Mode areMean, Median, Mode are
all types of average. Anall types of average. An
average summarisesaverage summarises
groups of data.groups of data.
3. MeanMean
Average often means the ‘mean’Average often means the ‘mean’
Mean = total of the numbers dividedMean = total of the numbers divided
by how many numbers.by how many numbers.
Class shoe sizes: 3, 5, 5, 6, 4, 3, 2, 1, 5, 6
Add up the numbers:
3 + 5 + 5 + 6 + 4 + 3 + 2 + 1 + 5 + 6 = 40
Divide by how many numbers:
40 ÷ 10 = 4
The class mean shoe size is 4
4. MedianMedian
Median is the middle valueMedian is the middle value
Put the numbers in orderPut the numbers in order
Choose the number in the middle ofChoose the number in the middle of
the list.the list.
If there are 2 numbers in the middleIf there are 2 numbers in the middle
then it is halfway between them.then it is halfway between them.
Class shoe sizes: 3, 5, 5, 6, 4, 3, 2, 1, 5, 6
Put in order: 1, 2, 3, 3, 4, 5, 5, 5, 6, 6
The class median shoe size is 4.5
5. ModeMode
Mode is the most common numberMode is the most common number
Put the numbers in orderPut the numbers in order
Choose the number that appears theChoose the number that appears the
most frequently.most frequently.
Sometimes there may be more thanSometimes there may be more than
one mode.one mode.
Class shoe sizes: 3, 5, 5, 6, 4, 3, 2, 1, 5, 6
Put in order: 1, 2, 3, 3, 4, 5, 5, 5, 6, 6
The class modal shoe size is 5.
6. RangeRange
Range is how far from biggest toRange is how far from biggest to
smallest.smallest.
Put the numbers in orderPut the numbers in order
Take the smallest number from theTake the smallest number from the
largest.largest.
Class shoe sizes: 3, 5, 5, 6, 4, 3, 2, 1, 5, 6
Put in order: 1, 2, 3, 3, 4, 5, 5, 5, 6, 6
Subtract smallest from largest: 6 – 1 = 5
Range: 5
7. RangeRange
Range is how far from biggest toRange is how far from biggest to
smallest.smallest.
Put the numbers in orderPut the numbers in order
Take the smallest number from theTake the smallest number from the
largest.largest.
Class shoe sizes: 3, 5, 5, 6, 4, 3, 2, 1, 5, 6
Put in order: 1, 2, 3, 3, 4, 5, 5, 5, 6, 6
Subtract smallest from largest: 6 – 1 = 5
Range: 5