Statistics · Secondary 3

15/15 weeks ready · Follows the order of the Egyptian Ministry of Education and Technical Education textbook Statistics, Third Form Secondary (Grade 12), Student Book, as the plan for Term 1: Units 1–3 (eight lessons, printed pages 4–83) of a whole-year volume of five units (printed pages 4–142; Units 4 and 5, random variables and the normal distribution, are left for Term 2). The English and Arabic editions are the same first edition (2016/2017) with the same pages for Units 1–3. All explanations, exercises and quizzes are Darslab’s own.

Term 1Unit 1 Correlation and regression: correlation, scatter diagrams, Pearson’s and Spearman’s coefficients, regression and the least squares line; Unit 2 Advanced measurements in statistics: stem-and-leaf plots, quartiles and their graphs, the semi-interquartile range; Unit 3 Probability: random experiments and events, the axioms of probability, conditional probability and independent events

Correlation and scatter diagrams Correlation: direct and inverse relations between two variables, scatter diagrams and the scale of the correlation coefficient r from −1 to 1

Pearson’s correlation coefficient Pearson’s linear correlation coefficient: the formula, the table of x, y, x², y² and xy, and finding r from given sums

Spearman’s rank correlation Spearman’s rank correlation coefficient: ranks, tied values, D² and the formula, and when to use it instead of Pearson’s

Regression and the least squares line Regression: predicting y from x, simple linear regression y = a + bx and the least squares method

Using the regression line Using the regression line: predicting y, the error of a prediction, extrapolation and regression from given sums

Stem-and-leaf plots Stem-and-leaf plots: building single and double plots with a key and reading the median, the mode and the range from them

Quartiles of lists and stem-and-leaf plots Quartiles of single data and of stem-and-leaf plots: Q1, Q2 and Q3 by their order, with the rule for going between two values

Quartiles from frequency tables Quartiles from a frequency table: ascending cumulative frequency, the quartile class and the formula, and the graphical method

Box plots and the semi-interquartile range Box plots and the semi-interquartile range: the five numbers, drawing and reading boxes, and (Q3 − Q1) ÷ 2 from data, stem-and-leaf plots and frequency tables

Random experiments and sample spaces Random experiments and sample spaces: coin and dice tables, tree diagrams, drawing with and without replacement, and events

Operations on events and equally likely outcomes Operations on events, mutually exclusive events and the probability of an event when the outcomes are equally likely

The axioms of probability and their corollaries Axioms of probability and their corollaries: 0 ≤ P ≤ 1, P(S) = 1, additivity, P(A′), P(A − B) and P(A ∪ B), and solving problems

Conditional probability Conditional probability: the reduced sample space, P(A | B) = P(A ∩ B) ÷ P(B), the multiplication rule, two-way tables, tree and Venn diagrams

Independent and dependent events Independent and dependent events: the test P(A ∩ B) = P(A) × P(B), drawing with and without replacement, and independent against mutually exclusive

Review of Term 1 Term 1 review: correlation and regression, quartiles and spread, probability, conditional probability and independence

The Egyptian Ministry of Education and Technical Education (MOETE) is not affiliated with, and does not endorse, Darslab. Lessons follow the order of the Ministry’s textbooks; all explanations, exercises and quizzes are Darslab’s own. Pictures of animals, plants and objects: Twemoji, CC BY 4.0.