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Class 10 Maths Test Paper | Chapter: Statistics (सांख्यिकी)
Statistics – Test Paper 1
Time: 40 Minutes Maximum Marks: 20
Section A: Objective Type Questions (1 × 4 = 4 Marks)
Q1. Find the class mark of the class interval \(20-30\).
वर्गांतर \(20-30\) का वर्ग-चिह्न ज्ञात कीजिए।
Q2. Which measure of central tendency is represented by the most frequent observation?
सबसे अधिक बार आने वाले प्रेक्षण को कौन-सा केंद्रीय प्रवृत्ति का माप दर्शाता है?
Q3. Write the formula used to calculate the mean of grouped data using the step deviation method.
चरण विचलन विधि द्वारा माध्य ज्ञात करने का सूत्र लिखिए।
Q4. Identify the modal class from the following frequencies: \(5, 12, 9, 3\).
निम्नलिखित आवृत्तियों से बहुलक वर्ग की पहचान कीजिए।
Section B: Short Answer Questions (2 × 4 = 8 Marks)
Q5. Find the mean of the following data:
\(x: 2, 4, 6, 8\)
\(f: 3, 7, 5, 5\)
निम्नलिखित आँकड़ों का माध्य ज्ञात कीजिए।
Q6. Find the median class of the following distribution:
Class: \(0-10, 10-20, 20-30, 30-40, 40-50\)
Frequency: \(5, 9, 14, 8, 4\)
निम्नलिखित वितरण की माध्यिका वर्ग ज्ञात कीजिए।
Q7. Find the mode of the following data:
Class: \(10-20, 20-30, 30-40, 40-50\)
Frequency: \(6, 14, 10, 5\)
निम्नलिखित आँकड़ों का बहुलक ज्ञात कीजिए।
Q8. State any two situations where median is a better measure than mean.
कोई दो स्थितियाँ लिखिए जहाँ माध्य की अपेक्षा माध्यिका अधिक उपयुक्त होती है।
Section C: Long Answer Questions (4 × 2 = 8 Marks)
Q9. Find the mean of the following distribution using the step deviation method:
Class: \(0-20, 20-40, 40-60, 60-80, 80-100\)
Frequency: \(10, 35, 50, 30, 15\)
चरण विचलन विधि द्वारा निम्नलिखित आँकड़ों का माध्य ज्ञात कीजिए।
Q10. The following table shows the marks obtained by students. Find the median marks.
Class: \(0-10, 10-20, 20-30, 30-40, 40-50\)
Frequency: \(4, 6, 14, 10, 6\)
निम्नलिखित आँकड़ों की माध्यिका ज्ञात कीजिए।
Statistics – Test Paper 2
Time: 40 Minutes Maximum Marks: 20
Same pattern, different questions can be added below if required.
Class 10 Maths Test Paper | Chapter: Statistics (सांख्यिकी)
Statistics – Test Paper (Set C)
Time: 40 Minutes Maximum Marks: 20
Section A: Objective / Conceptual (Numerical)
(1 × 4 = 4 Marks)
Q1. (1 mark) If the mean of a data is 25 and the median is 27, find the mode using the empirical relation.
यदि किसी आँकड़े का माध्य 25 और माध्यिका 27 है, तो अनुभवजन्य संबंध द्वारा बहुलक ज्ञात कीजिए।
Q2. (1 mark) Find the class mark of the class interval 30–40.
वर्गांतर 30–40 का वर्ग-चिह्न ज्ञात कीजिए।
Q3. (1 mark) If the total frequency is 60, what is the value of \( \frac{N}{2} \)?
यदि कुल आवृत्ति 60 है, तो \( \frac{N}{2} \) का मान क्या होगा?
Q4. (1 mark) Identify the modal class if the highest frequency is 18.
यदि अधिकतम आवृत्ति 18 है, तो बहुलक वर्ग की पहचान कीजिए।
Section B: Short Answer (Numerical)
(2 × 4 = 8 Marks)
Q5. (2 marks) Find the mean of the following data:
\(x:\ 4,\ 8,\ 12,\ 16\)
\(f:\ 5,\ 9,\ 7,\ 4\)
निम्नलिखित आँकड़ों का माध्य ज्ञात कीजिए।
Q6. (2 marks) Find the median class of the following distribution:
Class: 0–10, 10–20, 20–30, 30–40, 40–50
Frequency: 6, 14, 18, 10, 2
निम्नलिखित वितरण की माध्यिका वर्ग ज्ञात कीजिए।
Q7. (2 marks) Using the empirical relation, find the median if the mean is 32 and the mode is 38.
अनुभवजन्य संबंध का प्रयोग करके माध्यिका ज्ञात कीजिए, यदि माध्य 32 और बहुलक 38 है।
Q8. (2 marks) Find the mode of the following data:
Class: 10–20, 20–30, 30–40, 40–50
Frequency: 7, 15, 11, 6
निम्नलिखित आँकड़ों का बहुलक ज्ञात कीजिए।
Section C: Long Answer (Numerical)
(4 × 2 = 8 Marks)
Q9. (4 marks) Find the mean of the following distribution using the step deviation method:
Class: 0–20, 20–40, 40–60, 60–80, 80–100
Frequency: 6, 14, 20, 8, 2
चरण विचलन विधि द्वारा निम्नलिखित आँकड़ों का माध्य ज्ञात कीजिए।
Q10. (4 marks) The mean and median of a distribution are 40 and 42 respectively.
(i) Find the mode using the empirical relation
(ii) State whether the distribution is positively or negatively skewed
किसी वितरण का माध्य 40 तथा माध्यिका 42 है।
(i) अनुभवजन्य संबंध द्वारा बहुलक ज्ञात कीजिए
(ii) बताइए कि वितरण धनात्मक विकृत है या ऋणात्मक
Exam Pattern Insight / परीक्षा उपयोगी संकेत
- Definition-based प्रश्न CBSE बोर्ड में नहीं पूछे जाते
- Empirical Relation (Mode = 3 Median − 2 Mean) अत्यंत महत्वपूर्ण है
- 4 marks के प्रश्नों में पूरा calculation दिखाना अनिवार्य है
- तालिका, सूत्र और final answer स्पष्ट लिखिए
💡 Important Exam & Study Tips
- Master NCERT Fundamentals: Ensure thorough familiarity with standard textbook definitions, formulas, and in-text examples before solving advanced problems.
- Step-by-Step Presentation: In board examinations, neat presentation, correct formula application, and labeled steps earn maximum step-marking.
- Practice Under Timed Conditions: Regular practice with previous years' question papers (PYQs) builds exam speed and accuracy.
📚 Related Study Materials on StudyMats
Access more chapter-wise notes and practice papers:
- StudyMats Home — Complete Educational Study Material
- CBSE Class 10 Maths Study Notes & Question Papers
- CBSE Exam Pattern Study Notes & Question Papers
- Class 10 Statistics Study Notes & Question Papers
- Empirical Relation Statistics Study Notes & Question Papers
❓ Frequently Asked Questions (FAQs)
Q1: Are these solutions aligned with the latest rationalized syllabus?
Yes, all study notes and practice questions on StudyMats strictly follow the updated NCERT textbook pattern and CBSE assessment guidelines.
Q2: How can I prepare this chapter for highest marks?
Review the theory thoroughly, solve all textbook exercise questions, and repeatedly practice the high-frequency questions provided in this guide.