## 2010 H2 Mathematics – Possible Questions on Statistics

October 27, 2010Wei Jie 1 Comment »The boundary separating pure mathematics and statistics is becoming less distinct. Last year, a slight tinge of differentiation was found embedded within the statistics section of the paper. This would suggest that the examiners are starting to mix various topics into a single question.

Firstly, the question on permutations and combinations is likely to involve a **circular permutation**, such as the arrangement of people on chairs placed around a table. This concept has not been tested in the two preceding years, i.e. 2008 and 2009. However, do take note that if the chairs are distinct (numbered, coloured, etc.), there is no need to divide the final answer by the total number of seats.

For probability, be especially familiar with **conditional probability**, which is a commonly tested concept. Keep in mind the **definitions** of independent events and mutually exclusive events. Yes, they certainly do test definitions, and they have already tested it in the H1 Mathematics paper last year. In fact, the various distributions – binomial, Poisson and normal – may be sprinkled all over this topic.

For the rest of the Statistics topics, read the full article at the Mathematics Handy Guide website.

http://handyguide.mathsguidebook.com/viewer?2010-h2-statistics-possible-questions

Posted on October 28th, 2010 at 22:39

Other possibilities:

– Hypothesis testing involving unknown alpha (was asked in 2009 H1 Maths exam), sample mean, mu_0, or sample size

– P&C being applied in probability question

– Regression & correlation question which involves an algebraic treatment, like:

A set of 20 pairs of bivariate data (x, y) is summarised by

sum x = 200, sum x^2 = 2125, sum y = 240, sum y^2 = 8245. The product moment correlation coefficient is -0.992. Find the equation of the regression line of y on x.