Statistics

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๐Ÿ“˜ Comprehensive Syllabus & Examination Guide

Statistics

Official curriculum roadmap, subject/topic distribution, negative marking rules, pacing guidelines, and solved sample questions.

๐ŸŽฏ Mapped Subjects & Topic Question Distribution

Total Question Pool 100%
7 MCQs
Combined Active Syllabus
Statistics
7 MCQs
Topic Pool
๐Ÿ“Š Question Pool Structure
7 MCQs across fundamental, intermediate, and advanced concept tiers.
โšก Recommended Pacing
45 to 60 seconds per MCQ. Flag complex problems and preserve 10 minutes for final revision.
โš–๏ธ Scoring & Negative Marking
+1 mark per correct answer. In competitive tests with negative marking, -0.25 applies for incorrect guesses.

๐Ÿ’ก Strategic Preparation & Exam Hall Guidelines

To maximize your score on Statistics, candidates are advised to follow a structured three-pass approach. In the First Pass, solve all direct recall and formula-based questions within 30 seconds each to secure foundational marks. In the Second Pass, tackle multi-step analytical and quantitative reasoning problems. In the Third Pass, review marked questions and verify calculations.

Practice with the interactive player below to evaluate your speed and accuracy under real exam pressure. Every question features full mathematical formulas, step-by-step worked solutions, and conceptual explanations vetted by Apex Rankers Academy subject matter specialists.

Ready to test your knowledge? Launch interactive 1-by-1 practice with instant feedback, bookmarking, and step-by-step rationales.
Solved Blueprint Examples

๐Ÿ“ Pre-Rendered Solved Sample Questions & Detailed Solutions

Showing 7 solved representative questions

Review the solved problems below to understand question phrasing, answer choices, and step-by-step solution logic prior to starting the full interactive practice drill:

Sample Question 1
Statistics Medium • Quantitative Aptitude Test
Find the arithmetic mean of $2, 8, 5, 9, 6,$ and $12$.
A 6
B 7
C 8
D 9
โœ“ Correct Answer: B - 7
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
The arithmetic mean is: \[\text{Mean} = \frac{2 + 8 + 5 + 9 + 6 + 12}{6} = \frac{42}{6} = 7\] Thus, the correct option is (B).
Sample Question 2
Statistics Medium • Quantitative Aptitude Test
Find the median of the set: $4, 2, 7, 3, 10, 9, 13$.
A 4
B 7
C 9
D 10
โœ“ Correct Answer: B - 7
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Arranging the $7$ numbers in ascending order: \[2, 3, 4, 7, 9, 10, 13\] The 4th (middle) number is $7$. Thus, the correct option is (B).
Sample Question 3
Statistics Medium • Quantitative Aptitude Test
Find the median of the following set of values: $45, 91, 62, 71, 55$.
A 55
B 62
C 71
D 91
โœ“ Correct Answer: B - 62
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Arranging the $5$ numbers in ascending order: \[45, 55, 62, 71, 91\] The middle value (3rd element) is $62$. Thus, the correct option is (B).
Sample Question 4
Statistics Medium • Quantitative Aptitude Test
Find the mode of the dataset: $2, 5, 5, 6, 5, 7, 10, 11, 6, 5$.
A 2
B 5
C 6
D 7
โœ“ Correct Answer: B - 5
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
The mode is the value that appears with the highest frequency. Counting the occurrences: $5$ appears $4$ times, $6$ appears $2$ times, and other numbers appear once. Hence, the mode is $5$. Thus, the correct option is (B).
Sample Question 5
Statistics Medium • Quantitative Aptitude Test
Find the arithmetic mean of $2, 8, 5, 9, 6,$ and $12$.
A 6
B 7
C 8
D 9
โœ“ Correct Answer: B - 7
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
The arithmetic mean is calculated as: \[\text{Mean} = \frac{\sum x}{n} = \frac{2 + 8 + 5 + 9 + 6 + 12}{6} = \frac{42}{6} = 7\] Thus, the correct option is (B).
Sample Question 6
Statistics Medium • Quantitative Aptitude Test
Find the median of the dataset: $4, 2, 7, 3, 10, 9, 13$.
A 4
B 7
C 9
D 10
โœ“ Correct Answer: B - 7
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Arrange the $n = 7$ numbers in ascending order: \[2, 3, 4, 7, 9, 10, 13\] The median is the 4th (middle) value, which is $7$. Thus, the correct option is (B).
Sample Question 7
Statistics Medium • Quantitative Aptitude Test
Determine the median of the set of marks: $45, 91, 62, 71, 55$.
A 55
B 62
C 71
D 91
โœ“ Correct Answer: B - 62
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
First arrange the $n = 5$ numbers in ascending order: \[45, 55, 62, 71, 91\] The median is the middle $\left(\frac{n+1}{2}\right) = 3\text{rd}$ term, which is $62$. Thus, the correct option is (B).
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