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probability y statistics-exam N1 fully solved (first-year university)

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This document contains a fully solved Probability & Statistics Exam (Exam N1) for first-year university students. All questions are explained step by step, making it ideal for exam preparation, revision, and understanding key statistical concepts. Topics include probability rules, random variables, descriptive statistics, and basic inferential methods. Perfect for undergraduate students who want clear solutions and practical exam practice.

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Uploaded on
December 23, 2025
Number of pages
8
Written in
2025/2026
Type
Exam (elaborations)
Contains
Questions & answers

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DESCRIPTIVE STATISTICS

Most Important Numerical Problems

Solved Step by Step
University Exam Oriented

For:
BSc · BCom · Engineering (First Year)

Prepared by:
TeacherFrank10

, DESCRIPTIVE STATISTICS

MOST IMPORTANT NUMERICAL PROBLEMS

EXERCISE 1 – MEAN (FREQUENCY DATA)

Question

Calculate the arithmetic mean of the following data:

x: 10 20 30 40
f: 3 7 5 5

Formula

Mean (x̄ ) = Σfx / Σf

Solution

x f fx

10 3 30
20 7 140
30 5 150
40 5 200

Σf = 20
Σfx = 520


Mean = = 26
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