Data Cleaning and Missing Data Mechanisms (MCAR, MAR, MNAR) MCQs

Prepare for Data Cleaning and Missing Data Mechanisms (MCAR, MAR, MNAR) MCQs with verified questions, past-paper solutions, and conceptual explanations for CSS, PMS, FPSC, PPSC, and NTS examinations.

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390987 MCQs Page 32748

Topic Notes: Statistics

These notes summarize the key preparation context before you attempt the MCQs. Review the topic focus, then practice the questions below with answers and explanations.

Quick Overview

Practice Statistics MCQs to prepare for CSS, PMS, FPSC, PPSC, SPSC, KPPSC, BPSC, NTS, and university entry tests in Pakistan. This section covers key theoretical concepts, syllabus topics, and repeated past paper questions related to Statistics.

Topic-Wise Breakdown
Structured subject modules organized by difficulty and exam frequency.
Verified Answer Keys
Detailed explanations cross-referenced with standard textbooks and commission keys.
Complete Coverage
Covers fundamental definitions, advanced problem-solving, and recent exam trends.

How to Prepare Statistics MCQs for Competitive Exams

Review each sub-topic systematically. Start with fundamental concepts, practice multiple-choice question sets under timed conditions, and note down questions you missed in your revision tracker. Select a specific topic from the list below to begin practice.

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The average age of a group of 10 students is 15 years. When 5 more students join the group, the average age increases by 1 year. The average age of the new students is:
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A is 3 years older than B. B is 5 years younger than C. If the sum of their ages is 58, how old is B?
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The ratio of the ages of A and B ten years ago was 1 : 3. The ratio of their ages five years hence will be 2 : 3. Find their present ages.
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The sum of the ages of 4 members of a family 5 years ago was 94 years. Today, when the daughter has been married off and replaced by a daughter-in-law, the sum of their ages is 92. Assuming there has been no other change in the family structure, what is the difference in age between the daughter and the daughter-in-law?
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Sandeep's age after six years will be three-seventh of his father's age. Ten years ago, the ratio of their ages was 1 : 5. What is Sandeep's father's age at present?
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The ratio of the present ages of a mother and her son is 3 : 1. The product of their ages is 507. What will be the ratio of their ages after 10 years?
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Rajesh's age is one-third of his father's age. After 15 years, Rajesh's age will be half of his father's age. What is the present age of his father?
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The age of a father is twice that of the elder son. Ten years hence, the age of the father will be three times that of the younger son. If the difference of ages of the two sons is 15 years, the age of the father is:
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The present age of a woman is 3 years more than 3 times the age of her daughter. Three years hence, the woman's age will be 10 years more than twice the age of her daughter. Find the present age of the daughter.
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The ratio of the ages of M and N is 7 : 5. If the sum of their ages is 72 years, what is the difference between their ages?