CBSE Class 10 Mathematics (Basic) Chapter 13 Statistics Important Questions 2027
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23 questions from Statistics appeared in 7 of the 7 CBSE papers we analysed (2022–2026) — here are the topics that matter, the questions that repeat, and every previous-year question from this chapter.
Key facts
- Statistics & Probability unit — 11 marks in the official syllabus
- Asked in 7 of 7 analysed papers (2022–2026)
- About 3.3 questions per paper (OR alternatives counted separately)
- 5 question patterns repeated across papers
Important topics in Statistics
| # | Topic | Asked in | Importance |
|---|---|---|---|
| 1 | Median of grouped data | Board 2022Board 2024Board 2025Board 2026Sample 2025Sample 2026 | ★★☆☆☆ |
| 2 | Mode of grouped data | Board 2022Board 2024Board 2025Board 2026Sample 2025Sample 2026 | ★☆☆☆☆ |
| 3 | Mean of grouped data (direct / assumed mean / step deviation) | Board 2022Board 2023Board 2025Board 2026Sample 2025Sample 2026 | ★☆☆☆☆ |
| 4 | Empirical relationship / mixed central tendency problems | Board 2024Sample 2026 | ★☆☆☆☆ |
Repeated questions from Statistics
1. Identify the median class or its property
5×Board 2024Board 2025Board 2026Sample 2025Sample 20261 marks
The class mark of the median class of the following data is : (Class Interval / Frequency) 10–25 : 2, 25–40 : 3, 40–55 : 7, 55–70 : 6, 70–85 : 6, 85–100 : 6. (A) 40 (B) 55 (C) 47.5 (D) 62.5
2. Find the mode of grouped data
4×Board 2022Board 2024Sample 2025Sample 20262/3 marks
The frequency distribution table of agriculture holdings in a village is given below — Area of land (in hectares): 1–3, 3–5, 5–7, 7–9, 9–11, 11–13 with No. of families: 20, 45, 80, 55, 40, 12 respectively. Find the modal agriculture holdings of the village.
3. Find the mean of grouped data
4×Board 2022Board 2025Board 2026Sample 20253/5 marks
The following data gives the information on the observed lifetime (in hours) of 200 electrical components : (Lifetime in hours / Number of electrical components) 0–20 : 10, 20–40 : 35, 40–60 : 50, 60–80 : 60, 80–100 : 30, 100–120 : 15. Find the mean lifetime (in hours) of the electrical components.
4. Lower limit of the modal class
2×Board 2025Board 20261 marks
The following distribution shows the number of runs scored by some batsmen in test matches : (Runs Scored / Number of Batsmen) 3000–4000 : 5, 4000–5000 : 10, 5000–6000 : 9, 6000–7000 : 8. The lower limit of the modal class is : (A) 3000 (B) 4000 (C) 5000 (D) 6000
5. Find the median of grouped data
2×Board 2022Board 20242/3 marks
[Case: Grouped frequency of leaf lengths (in mm): 70-80: 3, 80-90: 5, 90-100: 9, 100-110: 12, 110-120: 5, 120-130: 4, 130-140: 2.] Find median of the data.
Statistics questions by paper
| Paper | Questions | Marks |
|---|---|---|
| Board 2022 | 3 | 8 |
| Board 2023 | 1 | 5 |
| Board 2024 | 6 | 8 |
| Board 2025 | 3 | 7 |
| Sample 2025 | 3 | 6 |
| Board 2026 | 3 | 7 |
| Sample 2026 | 4 | 8 |
Counts include both options of internal-choice (OR) questions.
Previous year questions: Statistics
Board 2026 3 questions
The class mark of the median class of the following data is : (Class Interval / Frequency) 10–25 : 2, 25–40 : 3, 40–55 : 7, 55–70 : 6, 70–85 : 6, 85–100 : 6. (A) 40 (B) 55 (C) 47.5 (D) 62.5
The following distribution shows the number of runs scored by some batsmen in test matches : (Runs Scored / Number of Batsmen) 3000–4000 : 5, 4000–5000 : 10, 5000–6000 : 9, 6000–7000 : 8. The lower limit of the modal class is : (A) 3000 (B) 4000 (C) 5000 (D) 6000
The following data gives the information on the observed lifetime (in hours) of 200 electrical components : (Lifetime in hours / Number of electrical components) 0–20 : 10, 20–40 : 35, 40–60 : 50, 60–80 : 60, 80–100 : 30, 100–120 : 15. Find the mean lifetime (in hours) of the electrical components.
Sample 2026 4 questions
Consider the following frequency distribution — Class: 0–5, 5–10, 10–15, 15–20, 20–25 with Frequency: 11, 12, 13, 9, 11 respectively. The upper limit of median class is
A) 10
B) 13
C) 15
D) 20
Let empirical relationship between the three measures of central tendency be a(Median) = Mode + b(Mean), then (2b + 3a) =
A) 11
B) 12
C) 13
D) 14
The frequency distribution table of agriculture holdings in a village is given below — Area of land (in hectares): 1–3, 3–5, 5–7, 7–9, 9–11, 11–13 with No. of families: 20, 45, 80, 55, 40, 12 respectively. Find the modal agriculture holdings of the village.
If the mean of the following distribution is 54, find the value of p — Class Interval: 0–20, 20–40, 40–60, 60–80, 80–100 with Frequency: 7, p, 10, 9, 13 respectively.
Board 2025 3 questions
The class mark of the median class of the following data is : (Class Interval / Frequency — 10-25:2, 25-40:3, 40-55:7, 55-70:6, 70-85:6, 85-100:6) (A) 40 (B) 55 (C) 47.5 (D) 62.5
The following distribution shows the number of runs scored by some batsmen in test matches : (Runs Scored / Number of Batsmen — 3000-4000:5, 4000-5000:10, 5000-6000:9, 6000-7000:8) The lower limit of the modal class is : (A) 3000 (B) 4000 (C) 5000 (D) 6000
The following data gives the information on the observed lifetime (in hours) of 200 electrical components : (Lifetime in hours / Number of electrical components — 0-20:10, 20-40:35, 40-60:50, 60-80:60, 80-100:30, 100-120:15) Find the mean lifetime (in hours) of the electrical components.
Sample 2025 3 questions
The following distribution shows the marks distribution of 80 students. Marks: Below 10 | Below 20 | Below 30 | Below 40 | Below 50 | Below 60 ; No. of students: 2 | 12 | 28 | 56 | 76 | 80. The median class is (A) 20-30 (B) 40-50 (C) 30-40 (D) 10-20
Calculate mode of the following distribution: Class: 5-10 | 10-15 | 15-20 | 20-25 | 25-30 | 30-35 ; Frequency: 5 | 6 | 15 | 10 | 5 | 4.
Find the mean using the step deviation method. Class: 0-10 | 10-20 | 20-30 | 30-40 | 40-50 ; Frequency: 6 | 10 | 15 | 9 | 10.
Board 2024 6 questions
If a certain variable x divides a statistical data arranged in order into two equal parts, then the value of x is called the : (a) mean (b) median (c) mode (d) range of the data.
The mean and median of a statistical data are 21 and 23 respectively. The mode of the data is : (a) 27 (b) 22 (c) 17 (d) 23
[Case: Grouped frequency of leaf lengths (in mm): 70-80: 3, 80-90: 5, 90-100: 9, 100-110: 12, 110-120: 5, 120-130: 4, 130-140: 2.] Write the median class of the data.
[Case: Grouped frequency of leaf lengths (in mm): 70-80: 3, 80-90: 5, 90-100: 9, 100-110: 12, 110-120: 5, 120-130: 4, 130-140: 2.] How many leaves are of length equal to or more than 10 cm ?
[Case: Grouped frequency of leaf lengths (in mm): 70-80: 3, 80-90: 5, 90-100: 9, 100-110: 12, 110-120: 5, 120-130: 4, 130-140: 2.] Find median of the data.
[Case: Grouped frequency of leaf lengths (in mm): 70-80: 3, 80-90: 5, 90-100: 9, 100-110: 12, 110-120: 5, 120-130: 4, 130-140: 2.] Write the modal class and find the mode of the data.
Board 2023 1 question
The table given below shows the daily expenditure on food of 25 households in a locality. Daily expenditure (₹): 100–150, 150–200, 200–250, 250–300, 300–350; Number of household: 4, 5, 12, 2, 2. Find the mean daily expenditure on food. Also, find the mode of the data.
Board 2022 3 questions
Find the mode of the following frequency distribution: Class 0-20 has Frequency 8, Class 20-40 has Frequency 7, Class 40-60 has Frequency 12, Class 60-80 has Frequency 5, Class 80-100 has Frequency 3.
The frequency distribution given below shows the weight of 40 students of a class. Find the median weight of the students. Weight (in kg) 40-45 has 9 students, 45-50 has 5 students, 50-55 has 8 students, 55-60 has 9 students, 60-65 has 6 students, 65-70 has 3 students.
The following table shows the age of patients admitted in a hospital during a particular week. Find the mean age of the patients. Age (in years) 5-15 has 5 patients, 15-25 has 12 patients, 25-35 has 20 patients, 35-45 has 24 patients, 45-55 has 15 patients, 55-65 has 4 patients.
Frequently asked questions
What are the most important topics in CBSE Class 10 Mathematics (Basic) Chapter 13 Statistics?
By how often and how recently they were asked: Median of grouped data; Mode of grouped data; Mean of grouped data (direct / assumed mean / step deviation).
How many marks does Statistics carry in the CBSE Class 10 Mathematics (Basic) exam?
Statistics is part of the Statistics & Probability unit, which carries 11 marks in the official syllabus. In the analysed papers it had about 3.3 questions per paper.
Do questions from Statistics repeat in board exams?
Yes — 5 question patterns from this chapter appeared in two or more past board or official sample papers. They are listed on this page with the years they were asked.