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By Ankit Gupta
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Updated on 5 Sep 2025, 17:30 IST
Mathematics is a subject where practice is the key to success, and for Class 10 students, Statistics is one of the most important chapters. This chapter teaches you how to find the mean, median, and mode of data, and these concepts appear very often in the board exam. That is why solving statistics class 10 important questions is necessary for every student. By focusing on the right set of class 10 statistics important questions, you can revise quickly and score better.
In Chapter 13, the problems are mostly based on calculating averages, identifying the middle value, or finding the most frequent value from grouped data. The exam often asks one mean questions class 10, one median question class 10, and one mode questions class 10. These are the building blocks of statistics important questions class 10 and mastering them ensures full marks in this section.
This guide brings together the most useful class 10 maths statistics important questions along with stepwise solutions. These include direct questions, application-based problems, and higher-level thinking sums. Apart from the solved set, students should also attempt statistics class 10 extra questions. These extra problems give more exposure and prepare you for unexpected variations in exams. Practising both class 10 statistics extra questions and statistics extra questions class 10 will make your preparation complete.
We also recommend going beyond the textbook and solving class 10 maths statistics extra questions. These are specially designed to cover tricky sums where students often make mistakes. By attempting these, you can polish your calculation skills and avoid confusion in the exam hall. Remember, the more you practice, the more confident you become. Solved examples and extra questions of statistics class 10 give you that extra edge.
The purpose of this article is to give students a strong base in Statistics by collecting all the statistics class 10 important questions at one place. Each section will highlight important questions of statistics class 10, provide clear answers, and also add practice problems for self-study.
Do Check: CBSE Class 10 Maths Important Questions
Q1. The marks obtained by 40 students in a class test are given below. Find the mean marks.
| Marks | 0–10 | 10–20 | 20–30 | 30–40 | 40–50 | 50–60 | 60–70 | 70–80 |
|------------|-------|-------|-------|-------|-------|-------|-------|
| No. of Students | 5 | 7 | 10 | 8 | 6 | 2 | 2 |
Solution:
Here we apply the step-deviation method.
Calculate mean using formula:
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After calculation, Mean = 33.5 marks.
Q2. The following table represents the daily wages of workers. Find the median.
| Daily Wages (₹) | 0–50 | 50–100 | 100–150 | 150–200 | 200–250 |
|-----------------|--------|---------|----------|----------|
| No. of Workers | 5 | 10 | 20 | 15 | 10 |
Solution:
Steps:
Apply formula:
Result: Median = ₹137.5.
Q3. Find the mode of the marks distribution.
| Marks | 0–10 | 10–20 | 20–30 | 30–40 | 40–50 |
|------------|-------|-------|-------|-------|
| No. of Students | 3 | 7 | 12 | 8 | 5 |
Solution:
Formula for mode:
Here, modal class = 20–30.
Mode = 25.
Do Check: CBSE Class 10 Maths Syllabus
Q1.
Marks | 0–10 | 10–20 | 20–30 | 30–40 | 40–50 | 50–60 | 60–70 | 70–80 |
Frequency (f) | 5 | 7 | 10 | 8 | 6 | 2 | 2 | 0 |
Let class width h = 10 and assumed mean A = 35. Using step-deviation:
x̄ = A + (Σf·u / Σf)·h ⇒ Mean ≈ 33.5
Q2.
Wages (₹) | 0–50 | 50–100 | 100–150 | 150–200 | 200–250 |
Workers | 5 | 10 | 20 | 15 | 10 |
Find cumulative frequencies and locate the class containing N/2.
Median = l + {[(N/2) − CF] / f} · h ⇒ Median = ₹137.5
Q3.
Marks | 0–10 | 10–20 | 20–30 | 30–40 | 40–50 |
Students | 3 | 7 | 12 | 8 | 5 |
Modal class is 20–30.
Mode = l + [(f1 − f0)/(2f1 − f0 − f2)]·h ⇒ Mode ≈ 25
Q4.
Marks | 0–10 | 10–20 | 20–30 | 30–40 | 40–50 | 50–60 |
Frequency | 5 | 10 | 15 | 10 | 7 | 3 |
Take A = 25, h = 10. Compute d = (x − A)/h, then use x̄ = A + (Σf·d / Σf)·h.
Mean ≈ 27.6.
Q5.
Age (yr) | 5–15 | 15–25 | 25–35 | 35–45 | 45–55 | 55–65 |
Patients | 6 | 11 | 21 | 23 | 14 | 5 |
Using class marks (10,20,30,40,50,60): x̄ = Σfx / Σf
Mean ≈ 35.4 years.
Q6.
₹ | 100–120 | 120–140 | 140–160 | 160–180 | 180–200 | 200–220 | 220–240 |
Workers | 14 | 24 | 36 | 46 | 34 | 14 | 12 |
N = 180; median class contains N/2 = 90 → 160–180.
Median ≈ ₹166.95.
Do Check: CBSE Class 10 Maths Notes
Q7.
Height (cm) | 150–155 | 155–160 | 160–165 | 165–170 | 170–175 | 175–180 | 180–185 |
No. of Students | 8 | 10 | 14 | 16 | 6 | 4 | 2 |
N = 60; N/2 = 30 lies in 165–170. With l = 165, h = 5:
Median ≈ 164.38 cm.
Q8.
Production (qtl) | 0–10 | 10–20 | 20–30 | 30–40 | 40–50 | 50–60 |
Villages | 6 | 8 | 10 | 20 | 9 | 7 |
Modal class 30–40. Substitute into the formula:
Mode ≈ 34.3 qtl.
Q9.
Marks | 0–10 | 10–20 | 20–30 | 30–40 | 40–50 | 50–60 | 60–70 |
Students | 5 | 10 | 20 | 30 | 25 | 10 | 5 |
Modal class 30–40:
Mode ≈ 36.25.
Q10.
Life (hr) | 0–100 | 100–200 | 200–300 | 300–400 | 400–500 | 500–600 |
Bulbs | 15 | 30 | 65 | 90 | 120 | 80 |
Use step-deviation (h = 100). After computation:
Mean ≈ 396 hours
Q11.
Marks | 0–10 | 10–20 | 20–30 | 30–40 | 40–50 | 50–60 |
Students | 12 | 18 | 27 | 20 | 17 | 6 |
N/2 = 50 lies in 20–30. Apply median formula:
Median ≈ 27.8
Do Check: CBSE Class 10 Maths Sample Papers.
Q12.
Marks | 0–10 | 10–20 | 20–30 | 30–40 | 40–50 |
Students | 8 | 10 | 20 | 12 | 5 |
Modal class 20–30. Substitute in modal formula:
Mode ≈ 25.6.
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The most important topics are mean, median, and mode of grouped data. You must practice mean questions class 10 (direct, assumed mean, and step-deviation methods), at least one median question class 10 using cumulative frequency, and formula-based mode questions class 10. These form the base of statistics class 10 important questions.
Statistics usually carries 10–12 marks in the CBSE board exam. Practising class 10 maths statistics important questions and statistics class 10 extra questions ensures that you can attempt these high-scoring questions with full confidence.
Extra practice improves accuracy and speed. Solving class 10 statistics extra questions, statistics extra questions class 10, and class 10 maths statistics extra questions helps you handle different types of distributions and avoids silly mistakes. These extra questions of statistics class 10 also prepare you for unexpected twists in exams.
Yes. Many important questions of statistics class 10 are directly inspired by previous year papers and CBSE sample papers. That’s why repeated practice of statistics important questions class 10 gives you a strong advantage.