Class 10 Mathematics Chapter 13: Statistics — practice questions with answers
Free practice for Class 10 Mathematics, Chapter 13: Statistics. Try the solved questions below, then take a free test with instant marking and explanations.
56 questions20 easy, 26 medium, 10 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. For grouped data, the mean by the direct method is ______.
- Σfᵢxᵢ / Σfᵢ
- Σxᵢ / n
- Σfᵢ / Σxᵢ
- Σfᵢdᵢ / Σfᵢ
Show answer
Answer: A. Σfᵢxᵢ / Σfᵢ
Why: xᵢ is the class mark of each class. [p.174]
Why: xᵢ is the class mark of each class. [p.174]
Q2. The mid-point of a class interval, (upper limit + lower limit)/2, is called its class ______.
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Answer: mark
Why: Class mark = (upper + lower class limit)/2. [p.173]
Why: Class mark = (upper + lower class limit)/2. [p.173]
Q3. In the formula Mode = l + [(f₁ − f₀)/(2f₁ − f₀ − f₂)] × h, f₁ is the frequency of the ______.
- modal class
- class preceding the modal class
- class succeeding the modal class
- median class
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Answer: A. modal class
Why: f₀ and f₂ belong to the classes before and after it. [p.184]
Why: f₀ and f₂ belong to the classes before and after it. [p.184]
Q4. Which is the formula for the median of grouped data?
- l + [(n/2 − cf)/f] × h
- l + [(f₁ − f₀)/(2f₁ − f₀ − f₂)] × h
- a + h(Σfᵢuᵢ/Σfᵢ)
- Σfᵢxᵢ / Σfᵢ
Show answer
Answer: A. l + [(n/2 − cf)/f] × h
Why: cf is the cumulative frequency of the class before the median class. [p.193]
Why: cf is the cumulative frequency of the class before the median class. [p.193]
Q5. The empirical relationship between the three measures of central tendency is ______.
- 3 Median = Mode + 2 Mean
- 3 Mean = Mode + 2 Median
- Mode = Mean + Median
- 2 Median = Mode + Mean
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Answer: A. 3 Median = Mode + 2 Mean
Why: Remark 1 in Section 13.4. [p.197]
Why: Remark 1 in Section 13.4. [p.197]
Q6. The class with the maximum frequency in a grouped distribution is called the ______ class.
Show answer
Answer: modal
Why: The mode lies inside the modal class. [p.184]
Why: The mode lies inside the modal class. [p.184]
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Frequently asked questions
How many practice questions are there for Class 10 Mathematics Chapter 13: Statistics?
56 questions (20 easy, 26 medium, 10 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 10 Mathematics syllabus, used by CBSE and many state boards.