Prepare for CBSE Board: Class 10 Statistics MCQ Questions and Answers
FAQs on CBSE Class 10 Statistics MCQ Practice for 2025-26 Exams
1. What are the most important types of questions from Chapter 14, Statistics, for the CBSE Class 10 Board Exam 2025-26?
For the 2025-26 board exams, the most important questions from Statistics typically fall into these categories:
- Calculating the mean, median, and mode of grouped data.
- Solving problems with missing frequencies, which are a common type of High Order Thinking Skills (HOTS) question.
- Constructing and interpreting 'less than' and 'more than' type ogives to find the median graphically.
- Applying the empirical relationship (3 Median = Mode + 2 Mean) to solve short-answer questions.
2. Which method for finding the mean of grouped data is most important for exams?
While the Direct Method is simple, the Assumed Mean Method is often considered more important for board exams, especially when the data values (xᵢ) and frequencies (fᵢ) are large. Examiners frequently set questions where using the Assumed Mean Method is more efficient and shows a better understanding of the concepts. Mastering this method is crucial as it simplifies calculations and reduces the chances of error, making it an expected skill.
3. How do I solve important questions involving finding one or two missing frequencies?
This is a classic HOTS question and is very important. To solve it, follow these steps:
- Set up the frequency distribution table with the unknown frequencies (e.g., f₁ and f₂).
- Use the given mean, median, or mode to form one linear equation involving the missing frequencies.
- Use the given sum of all frequencies (N) to form a second linear equation.
- Solve the pair of linear equations simultaneously to find the values of the missing frequencies.
4. Are questions on drawing 'less than' and 'more than' type ogives important for the board exams?
Yes, constructing graphical representations like ogives is a very important topic. Questions often require you to draw either a 'less than' or a 'more than' type ogive and then determine the median from the graph. Sometimes, you may be asked to draw both on the same axes. The point of intersection of the two ogives gives the median. These are typically long-answer questions, often carrying 5 marks.
5. Why is the empirical relationship between mean, median, and mode considered an important formula for exams?
The empirical formula, 3 Median = Mode + 2 Mean, is extremely important for 1-mark or objective-type questions. It allows you to find one measure of central tendency when the other two are known, without needing the entire dataset. This formula is a quick check of your conceptual understanding and is a favourite for short, time-saving questions in board papers. It is a highly expected question type in Section A of the paper.
6. What is the expected mark distribution for important questions from Statistics in the Class 10 Maths exam?
Based on previous board trends, you can expect questions from Statistics to appear across different sections:
- 1-mark questions: Based on the empirical formula or identifying the modal class.
- 3-mark questions: Standard problems on calculating mean, median, or mode.
- 5-mark questions: More complex problems, such as finding two missing frequencies or constructing an ogive and finding the median from it.
7. When is mode a better measure of central tendency than mean, and how can this appear as a HOTS question?
The mode is a better measure than the mean when dealing with categorical data or situations where the most frequent outcome is most relevant. For example, a shoe company is more interested in the most sold shoe size (mode) rather than the average shoe size (mean), which might be a decimal value like 7.3. A HOTS question could present a real-world scenario and ask you to justify which measure of central tendency is most appropriate, testing your conceptual understanding beyond mere calculation.
8. How can analysing previous year questions help identify expected questions from Statistics for the 2025-26 exam?
Analysing previous year questions (PYQs) is a key strategy because it reveals board trends and recurring patterns. For the Statistics chapter, PYQs show a consistent focus on missing frequency problems and ogive constructions. By studying them, you understand the level of difficulty, the format of questions, and which topics are repeatedly tested, allowing you to focus your preparation on these high-value areas for the 2025-26 exam.
