|
|
-
Calculate for small sets of discrete data: the mode,
median and range, and the modal class; the mean,
including from a simple frequency table
- Construct frequency tables for discrete data,
grouped where appropriate in equal class intervals |
|
average
mean
median
mode
range
statistics
compound bar chart |
|
Assess and review
by brainstorming:
1. Why display data?
(Examples):
- shows trends faster than number lists do
- easier to read at a glance
- aim is to show findings to someone else at the
end
- bar charts better for comparing categories with
each other
- pie charts good for comparing categories with
the whole
- and for small number of categories
- shows distribution in detail.
2. Why calculate statistics?
- less detail, but one
number value to give feel for whole data. (Give
egs).
- pros and cons of mean, median and mode. (Give
egs) |
|
Calculating;
Constructing & Comparing Statistical Diagrams
1. Calculate averages and range for collected data.
Which averages are the
most appropriate / useful?
2. Draw bar charts (grouped discrete data).
- or pie charts using ICT;
- or compound bar charts.
Eg: Theoretical v experimental
probability.
- or bar-line graphs for discrete data. |
|
Discuss key points
when constructing
- a bar chart;
- a pie chart (ICT).
Use pupils' completed charts to emphasise successful
constructions. |
|
|
|
The
Language of Statistics
1 1 2 3 8
Largest?
Smallest?
Range?
Mode?
Median?
Mean?
This list has mode of 1, a median of 2 and a mean
of 3.
Can you write a list of five more numbers, with:
mode 2, median 3, mean 3? (eg: 1 2 2 3 7)
mode 1, median 1, mean 3? (eg: 1 1 1 1 11)
mode 3, median 3, mean 3? (3 3 3 3 3) |
|
- Compare experimental
and theoretical probabilities in simple contexts
- Interpret diagrams and graphs (including pie charts)
- Draw conclusions based on the shape of graphs
and simple statistics for a single distribution
- Write a short report of a statistical enquiry;
justify the choice of presentation
- Compare two simple distributions
using range and one of the mode, median or mean |
|
experimental probability
theoretical probability |
|
Why do we need to
compare 2 sets of data? Collect examples. Eg:
- This year's profits v last year's profits.
- This term's attendance v last term's attendance.
- two counties' rainfall / birth-rate / unemployment
/ educational success/ …
ie: for improvement, , making decisions, keeping
track, connections to other factors such as attendance
bullying policy, equality between groups based on
gender, race, etc..
How can we compare 2 sets of data?
OHS
HD5b/3: Comparing Data
- 2 bar charts side by side – same scale;
- 1 compound bar chart
- 2 pie charts side by side |
|
Compare experimental
and theoretical probabilities, for statistical enquiry
such as Counter Cheating,:
- calculating averages and range; comparing with
theoretical average
- using bar charts to compare with theoretical &
experimental probabilities. |
|
Discuss findings.
Are they what you expected?
If not, why not?
Why are the experimental results only estimates
of probability?
How could you improve the accuracy of the experiment? |
|
|
