الإحصاء (بالعربية) · الصف الثالث الثانوي

15/15 أسبوعًا جاهزًا · 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

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

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

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

الانحدار وخط المربعات الصغرى Regression: predicting y from x, simple linear regression y = a + bx and the least squares method

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

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

الرباعيات من القوائم ومن التمثيل بالساق والأوراق 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

الرباعيات من الجداول التكرارية Quartiles from a frequency table: ascending cumulative frequency, the quartile class and the formula, and the graphical method

التمثيل الصندوقي ونصف المدى الربيعي 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

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

العمليات على الأحداث وتساوي فرص النواتج Operations on events, mutually exclusive events and the probability of an event when the outcomes are equally likely

مسلمات الاحتمال ونتائجها 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

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

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

مراجعة الفصل الأول Term 1 review: correlation and regression, quartiles and spread, probability, conditional probability and independence

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