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“Teach A Level Maths”
Vol. 3: Statistics 1
CONTENTS
© Christine Crisp
Contents
Abbreviations for Specifications:
A:
AQA
E:
Edexcel
O:
OCR
M:
MEI/OCR
Please Note: Every effort has been made to ensure that these
materials fulfil the essential requirements of each specification. It
has been assumed, however, that teachers will themselves check
that these requirements have been met.
TITLE
Contents
SPECIFICATION
A, E, O, M
1
Introducing S1
2
Stem and Leaf Diagrams
3
Cumulative Frequency Diagrams
A, E, O, M
A, E, O, M
4
Box and Whisker Diagrams
A, E, O, M
5
The Median of Grouped Data
A, E, O, M
6
Histograms
A, E, O, M
7
Finding the Mean
A, E, O, M
8
The Variance
A, E, O
8a
The Variance (MEI)
M
9
Scaling and Coding
A, E, O
9a
Scaling and Coding (MEI)
M
TITLE
Contents
SPECIFICATION
10
Introduction to Probability
A, E, O, M
11
Venn Diagrams
A, E, O, M
12
Tree Diagrams
A, E, O, M
13
Conditional Probability
A, E, O, M
14
Discrete Random Variables
A, E, O
14a Discrete Random Variables (MEI)
M
15
E
16
Cumulative Distribution Function
Linear Functions of a Discrete
Random Variable
17 The Discrete Uniform
Distribution
18 The Geometric Distribution
E
E
O
Contents
TITLE
SPECIFICATION
19
Arranging and Choosing
A, O, M
20
More Permutations
O
21
More Combinations
O, M
22
The Binomial Distribution
A, O, M
23
Binomial Problems
A, O, M
24
Using Binomial Tables
A, O, M
25
The Binomial Mean and Variance
A, O, M
26
Hypothesis Testing
M
Contents
TITLE
SPECIFICATION
27
The Normal Distribution
A, E
28
Standardising to z
A, E
29
Reversing Normal Calculations
(AQA)
29a Reversing Normal Calculations
(EDEXCEL)
A
30
Finding the Normal Mean
and Variance (AQA)
A
30a Finding the Normal Mean
and Variance (EDEXCEL)
E
31
A
Estimating from Samples
E
Contents
TITLE
SPECIFICATION
32
The CLT
A
33
Estimating Standard Deviation
A
34
Confidence Intervals
A
35
Least Squares Regression
A, E, O
36
Calculating Residuals
A, E, O
37
Another Regression Line
A, E, O
38
Correlation
A, E, O
39
Linear Scaling of Regression
Data
40 Spearman’s Rank Correlation
Coefficient
A, E, O
O
Contents
Explanation of Clip-art images
An important result, example or
summary that students might want to
note.
It would be a good idea for students
to check they can use their
calculators correctly to get the
result shown.
An exercise for students to do
without help.
Contents
In many of the presentations I have taken snapshots
from the software “Autograph”.
If you have access to Autograph, students will be
able to enter their own data and draw diagrams to
illustrate ideas like skewness. Also, probability
models are provided and the effects of, for
example, changing parameters and altering sample
size can quickly be seen.
Autograph is particularly helpful in teaching about
the Binomial and Normal distributions and
Regression.
Included with the Autograph software is a set of
resources demonstrating how to use the package.
Further information on Autograph is available from
www.chartwellyorke.co.uk