IB+Higher+Level+-+Statistics+and+Probability

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There are a few additions to this part of the syllabus and in places the chapter numbers have changed

6.1

Concepts of population, sample, random sample and frequency distribution of discrete and continuous data.

6.2

Presentation of data: frequency tables and diagrams, box and whisker plots.**(not contained in new syllabus)**

Grouped data:

mid-interval values,

interval width,

upper and lower interval boundaries,


 * (included within chapter 5.1 in new syllabus)**

frequency histograms. **(not included in new syllabus)**

6.3 **(covered in 5.1 of new syllabus)**

Mean, median, mode; quartiles, percentiles.

Range; interquartile range; variance; standard deviation

6.4 **(not contained in new syllabus)**

Cumulative frequency; cumulative frequency graphs; use to find median, quartiles, percentiles.

6.5 **(5.2 in new syllabus)**

Concepts of trial, outcome, equally likely outcomes, sample space //(U) and event.//

The probability of an event //A// is //P(A) = n(A)/n(U)//.

The complementary events //A// and //A' (not A)//; //P(A) + P(A') = 1//

6.6 **(5.3 in new syllabus)**

Combined events, the formula: //P(AuB) = P(A) + P(B) - P(AuB).//

//P(AnB) = 0// for mutually exclusive events.

6.7 **(5.4 in new syllabus)**

Conditional probability; the definition

//P(A|B) = P(AnB)/P(B).//

Independent events; the definition //P(A|B) = P(A) = P(A|B').//

Use of Bayes' theorem for two events **(a maximum of three events in new syllabus4**

6.8 **(included in 5.2 in new syllabus)**

Use of Venn diagrams, tree diagrams, **counting principles** and tables of outcomes.

6.9 **(5.5 in new syllabus)**

Concept of discrete and continuous random variables and their probability distributions.

Definition and use of probability density functions.

Expected value (mean), mode, median, variance and standard deviation.


 * Applications**

6.10 **(5.6 in new syllabus)**

Binomial distribution, its mean and variance.

Poisson distribution, its mean and variance.

6.11 **(5.7 in new syllabus)**

Normal distribution.

Properties of the normal distribution.

Standardization of normal variables.

Pages relating to Statistics and Probability

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