# SECTION 4: BASIC MATHEMATICAL APPLICATIONS

## A look at Statistics, Probability and Kinematics.

STATISTICS

At the end of this section students should be able to:

- distinguish between types of data;
- outline the relative advantages and disadvantages of stem – and – leaf diagrams and box – and – whisker plots in data analyses;
- interpret stem – and – leaf diagrams and box – and – whiskers plots;
- determine quartiles and percentiles from raw data, grouped data, stem – and – leaf diagrams, box – and whiskers plots;
- calculate measures of central tendency and dispersion;
- explain how the standard deviation measures the spread of a set of data.

PROBABILITY

At the end of this section, students should be able to:

- distinguish among the terms experiment, outcome, sample space and event;
- calculate the probability of event as the number of outcomes of divided by the total number of possible outcomes, when all outcomes are equally likely and the sample space is finite;
- use the laws of probability:

- the sum of the probabilities of all the outcomes in a sample space is equal to one;
- for any event;
- where is the probability that event does not occur
- use to calculate probabilities;
- identify mutually exclusive events and such that ;
- calculate the conditional probability where ;
- identify independent events;
- use the property or where and are independent events;
- construct and use possibility space diagrams, tree diagrams and Venn diagrams to solve problems involving probability.

KINEMATICS

At the end of this section, students should be able to:

- distinguish between distance and displacement and speed and velocity;
- draw and use displacement – time and velocity – time graphs;
- calculate and use displacement, velocity, acceleration and time in simple equations representing the motion of a particle in a straight line;
- apply where appropriate the following rates of change:

;

where represent displacement, velocity and acceleration respectively.

## Your Instructor

Sean Hunte, Your Passionate Mathematics Teacher

I was once a student just like you. I struggled with Mathematics for the first two (2) years of my secondary school life. In third form my teacher, Dr Sargeant, taught Mathematics in a unique way which allowed me to successfully learn the subject which I was passionate about. Her teaching enabled me to thrive in an area which I would eventually pursue as a career.

Therefore, I have successfully completed CXC's CSEC General Mathematics and CAPE Pure Mathematics Units 1 and 2 before obtaining a degree in Economics and Mathematics.

I have ten (10) years of experience teaching Mathematics at the secondary level in Barbados. During this time I have taught hundreds of students who have successfully completed the following courses:

- CSEC GENERAL MATHEMATICS
- CSEC ADDITIONAL MATHEMATICS
- CAPE PURE MATHEMATICS UNIT 1
- CAPE PURE MATHEMATICS UNIT 2
- SAT MATHEMATICS

Your story will be different from mine but both of us desire the same result. SUCCESS!

I know that for many students Mathematics can be a struggle. I am therefore here to offer assistance in making the learning of Mathematics easier.