Probabilités et statistique descriptive
Topic outline
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Lecturer :Fatna BensaberContact : fatna.bensaber@univ-tlemcen.dz
Office Hours: each Thirsday at 15h00
Availibility: each Thursday on teams
here Probabilités et statistique descriptive | L1_Maths_2025-2026 | Microsoft Teams
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Students are guided to an understanding of Probability and statistical concepts and directed to mastering rules for their own benefit throughout exercises that are provided to consolidate their knowledge.
This course directed to mastering rules for their own benefit throughout an overview of the probability theory and a review of the main tools used in descriptive statistics to visualize information.
In this module we will learn about descriptive statistics and its application. We will learn also about probabilities and perform our first calculations using probability formulas. We want to get comfortable with the idea that probabilities describe the chance of uncertain events occurring.
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To acquire the greatetst of this course module, students need, in addition to the mathematical knowledge from the final year of high school, to be be familiar with calculus and basic concepts related to calculations and sums; set theory techniques: set operations, relations (Algebra 1, Semester 1).
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By the end of this chapter, the student should be able to:
- Recognize and differentiate between key terms dealing with statistics
- Identify different types of data
- Identify data collection methods and study designs
- Apply various types of sampling methods to data collection
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We encounter statistics in our daily lives more often than we probably realize in many different contexts such as the news, the weather, the lab, and the classroom.
“Statistics’ ultimate goal is translating data into knowledge” – Alan Agresti & Christine Franklin
“A judicious man looks at statistics, not to get knowledge but to save himself from having ignorance foisted on him.” – Carlyle
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Opened: Thursday, 1 January 2026, 12:00 AMClosed: Thursday, 16 April 2026, 12:00 AM
BASIC STATISTICS SELF TEST
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Opened: Thursday, 1 January 2026, 12:00 AMClosed: Thursday, 16 April 2026, 12:00 AM
Determine what the key terms refer to in the following study. We want to know the average amount of money first year mathematics departement students spend at university on food.
We randomly surveyed 100 first year students. Three of those students spent 150 da, 200 da, and 300 da, respectively.
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By the end of this chapter, the student should be able to display data by the use of tables and illustrate them graphically.
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Statistical tables are a great starting place for summarizing and organizing data. Once have a set of data, one may first want to organize it to see the frequency, or how often each value occurs in the set. Statistical tables can be used to show either quantitative or categorical data.
Graphical representations are tools that help learn about the distribution, or shape of a sample or a population. A graph can be a more effective way of presenting data than a mass of numbers.
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By the end of this chapter, the student should be able to Recognize, describe, and calculate the measures of the center, of the spread of and of location in quantitative data.
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Numerical indicators (or parameters) are measurable data-driven metrics used to summarise data. They include location indicators and dispersion indicators. Common examples include means, medians, standard deviations.
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The main objective of this lecture on Combinatorial Analysis is to equip students with the methods of counting ,arranging, and selecting items from finite sets. It focuses on solving problems where direct enumeration is impossible due to the large number of possibilities. It include:
- Learning how to systematically determine the number of ways of choosing an items by matering enumeration techniques
- Using the Fundamental Principle of Counting.
- Distinguishing between combinations, arrangements, and permutations which is an essenetial unerstanding core consepts.
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Opened: Saturday, 2 May 2026, 3:00 PMDue: Saturday, 9 May 2026, 12:00 AM
The work must be hadwritting done and sent as an image or pfd file
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By the end of this chapter, the student will be able to:
- Understand and use the terminology of probability
- Determine whether two events are mutually exclusive
- Determine whether two events are independents
- Calculate probabilities using the addition rules
- Calculate probabilities using the multiplication rules
- Understand the conditioning in probability
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In this chapter we provide some basic concepts and definitions. We begin with a brief discussion of what probability is. Then we review some mathematical foundations that are needed for developing probability theory. Next we discuss the concept of random experiments and the axioms of probability. Finally, we discuss conditional probability.
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