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Term 1
Unit 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
1
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
2
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
3
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
4
الانحدار وخط المربعات الصغرى
Regression: predicting y from x, simple linear regression y = a + bx and the least squares method
5
استعمال خط الانحدار
Using the regression line: predicting y, the error of a prediction, extrapolation and regression from given sums
6
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
7
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
8
الرباعيات من الجداول التكرارية
Quartiles from a frequency table: ascending cumulative frequency, the quartile class and the formula, and the graphical method
9
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
10
التجارب العشوائية وفضاء العينة
Random experiments and sample spaces: coin and dice tables, tree diagrams, drawing with and without replacement, and events
11
العمليات على الأحداث وتساوي فرص النواتج
Operations on events, mutually exclusive events and the probability of an event when the outcomes are equally likely
12
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
13
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
14
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
15
مراجعة الفصل الأول
Term 1 review: correlation and regression, quartiles and spread, probability, conditional probability and independence
☰ Year plan · Statistics (Arabic)
Egypt
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Secondary 3
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Statistics (Arabic)
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Week 13
الاحتمال الشرطي
Week 13 · Conditional probability: the reduced sample space, P(A | B) = P(A ∩ B) ÷ P(B), the multiplication rule, two-way tables, tree and Venn diagrams · 3 lessons
Lesson 1
Lesson 2
Lesson 3
Quiz
8
Homework
5
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Week 13 ·
سحبتان بدون إرجاع على شجرة، وشكل فن لمجموعتين، ولماذا P(A | B) لا يساوي P(B | A)
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Week 13 · Homework
