IB+Standard+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.

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 **(5.2 in new syllabus)**

Mean, median, mode; quartiles, percentiles.

Range; interquartile range; variance; standard deviation


 * Effect of constant changes to the original data**


 * Applications.**

6.4 **(5.3 in new syllabus)**

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


 * 5.4**


 * Linear correlation of bivariate data.**


 * Pearson's product-moment correlation coefficient //r.//**


 * Scatter diagrams; lines of best fit.**


 * Equation of the regression line of //y// on //x//.**


 * Use of the equation for prediction purposes.**


 * Mathematical and contextual interpretation.**

6.5

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

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

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

6.7 **(contained in 5.6 in new syllabus)**

Conditional probability; the definition

//P(AuB) = P(AnB)/P(B).//

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


 * Probabilities with and without replacement**

6.8 **(included in 5.5 in new syllabus)**

Use of Venn diagrams, tree diagrams and tables of outcomes.

6.9 **(5.7 in new syllabus)**

Concept of discrete random variables and their probability distributions.

Expected value (mean), E(//X//) for discrete data.


 * Applications**

6.10 **(5.8 in new syllabus)**

Binomial distribution

Mean of the binomial distribution


 * Variance of the binomial distribution.**

6.11 **(5.9 in new syllabus)**

Normal distribution **and curves**

Properties of the normal distribution.

Standardization of normal variables.

Pages relating to Statistics and Probability

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