Structured Mathematics
STATISTICS 2
(September 2004 version; based on CC3 & CC4)
Assessment format
Examination
1h 30 mins
Four questions, each worth about 18 marks.
72 marks.
Topic
Progress
Competence
Book
Reference
1. Know how to draw a scatter diagram.
CC3
CC4
CC3
CC4
CC3
CC4
p628
p118
p632
p118
p658
p139
12d / 1
2b / 1, 2
CC3
CC4
p686
p146
12h / 2, 6
2c / 1, 8
CC3
p694
12k / 4
CC3
CC4
p635
p130
12a / 1, 2
2a / 1, 2
CC3
p671
1. Know the situations under which the Poisson
distribution is likely to be an appropriate model.
2. Be able to calculate the probabilities within a
Poisson distribution. Including use of tables of
cumulative Poisson probabilities.
3. Be able to use the Poisson distribution as an
approximation to the binomial distribution, and
know when to do so.
4. Know the mean and variance of a Poisson
distribution.
CC3
CC4
CC3
CC4
CC3
CC4
p288
p291
p297
p292
p294
p295
p299
CC3
CC4
p290
p293
5. Know that the sum of two or more independent
Poisson distributions is also a Poisson distribution.
CC3
CC4
p301
p301
5m / 2
5f / 2
1. Be able to apply the  2 test to a contingency
table. Not Yates’ correction for 2x2.
CC3
CC4
P601
P582
11c / 1, 5
12c / 1, 3
2. Be able to interpret the results of a  2 test.
This may involve considering the individual cells in
a contingency table.
CC4
1. Be able to use the Normal distribution as a
model.
CC3
CC4
Bivariate Data
Scatter diagram.
Product-moment
correlation coefficient
(pmcc).
Spearman's Rank
correlation coefficient.
Regression line for a
random variable on a
non-random variable.
2. Know the difference between dependent and
independent variables.
3. Know how to calculate the pmcc from raw data
or summary statistics.
4. Know how to carry out hypothesis tests using
the pmcc and tables of critical values. Underlying
assumption that data are drawn from a bivariate
normal distribution.
5. Know how to calculate Spearman's Rank
correlation coefficient from raw data or summary
statistics.
6. Know how to carry out hypothesis tests using
Spearman's Rank correlation coefficient and
tables of critical values.
7. Know how to calculate the equation of the least
squares regression line using raw data or
summary statistics.
8. Know the meaning of the term residual and be
able to calculate residuals.
Poisson
Distribution
Situations leading to the
Poisson distribution.
Calculations of
probability, of expected
frequencies.
The mean and variance
of the Poisson
distribution.
The sum of independent
Poisson distributions.
Contingency Tables
The Chi-Squared
(  2 ) test
Structured Mathematics S2 (September 2000)
page 1/2
5j / 6, 7
5e / 5, 6
12c / 14
Normal Distribution
The use of the Normal
distribution in situations
5i / 2, 8
5d / 5, 10
P368
p360
where the distribution is
given as Normal.
The use of the Normal
distribution as an
approximation to the
binomial and Poisson
distributions.
Hypothesis test for a
single mean.
2. Be able to standardise a Normal variable and
use the Normal Distribution Tables.
3. Be able to use the Normal distribution as an
approximation to the binomial distribution and
know when it is appropriate to do so.
4. Be able to use the Normal distribution as an
approximation to the Poisson distribution and
know when it is appropriate to do so.
5. Know when to use a continuity correction and
be able to do so.
6. Be able to carry out a hypothesis test for a
single mean using the Normal distribution and
know when it is appropriate to do so.
CC3
CC4
CC3
CC4
P378
p368
p396
p382
7d / 1
7b / 1, 3
7j / 6
7f / 2, 8
CC3
CC4
p404
p390
7k / 4
7g / 4
CC3
CC4
CC3
CC4
p399
p383
p511
p514
p519
10b / 1
11a / 1
Book references
CC3 Crawshaw and Chambers, A Concise Course in A-level Statistics, 3rd edition.
CC4 Crawshaw and Chambers, A Concise Course in A-level Statistics, 4th edition.
[WG: 05/95; DJR 05/00; JA 06/04]
Structured Mathematics S2 (September 2000)
page 2/2