Class 10 Statistics Important Questions
- Mean Questions Class 10
- Median Question Class 10
- Mode Questions Class 10
FAQs on Class 10 Maths Chapter 13 Statistics Important Questions

CBSE Class 10 Maths Chapter 13 Statistics Important Questions

By Ankit Gupta

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.

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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.

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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

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Class 10 Statistics Important Questions

Mean Questions Class 10

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 |

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Solution:
Here we apply the step-deviation method.

Class size (h) = 10
Assume A = 35 (mid-value near middle).
Calculate mean using formula:

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$\text{Mean} = A + \frac{\Sigma f d}{\Sigma f} \times h$

After calculation, Mean = 33.5 marks.

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Median Question Class 10

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 |

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Solution:
Steps:

Find cumulative frequency (CF).
Locate median class = the class interval containing $\frac{N}{2}$ .
Apply formula:

$\text{Median} = l + \left( \frac{\frac{N}{2} - CF}{f} \right) \times h$

Result: Median = ₹137.5.

Mode Questions Class 10

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:

\text{Mode} = l + \frac{(f_1 - f_0)}{2f_1 - f_0 - f_2} \times h

Here, modal class = 20–30.
Mode = 25.

Do Check: CBSE Class 10 Maths Syllabus

Statistics Class 10 Important Questions

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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FAQs on Class 10 Maths Chapter 13 Statistics Important Questions

What are the most important topics in Class 10 Maths Chapter 13 Statistics?

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.

How many marks are allotted to Statistics in the Class 10 CBSE exam?

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.

Why should I solve extra questions in Statistics?

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.

Are previous year questions included in important questions of Statistics Class 10?

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.

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Class 10 Statistics Important Questions
- Mean Questions Class 10
- Median Question Class 10
- Mode Questions Class 10
FAQs on Class 10 Maths Chapter 13 Statistics Important Questions

CBSE Class 10 Maths Chapter 13 Statistics Important Questions

By Ankit Gupta

Updated on 5 Sep 2025, 17:30 IST

Fill out the form for expert academic guidance

Unlock the full solution & master the concept

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept

Do Check: CBSE Class 10 Maths Important Questions

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

Take Free Test

Class 10 Statistics Important Questions

Mean Questions Class 10

Q1. The marks obtained by 40 students in a class test are given below. Find the mean marks.

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Solution:
Here we apply the step-deviation method.

Class size (h) = 10
Assume A = 35 (mid-value near middle).
Calculate mean using formula:

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CBSE

$\text{Mean} = A + \frac{\Sigma f d}{\Sigma f} \times h$

After calculation, Mean = 33.5 marks.

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Median Question Class 10

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 |

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Solution:
Steps:

Find cumulative frequency (CF).
Locate median class = the class interval containing $\frac{N}{2}$ .
Apply formula:

$\text{Median} = l + \left( \frac{\frac{N}{2} - CF}{f} \right) \times h$

Result: Median = ₹137.5.

Mode Questions Class 10

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:

\text{Mode} = l + \frac{(f_1 - f_0)}{2f_1 - f_0 - f_2} \times h

Here, modal class = 20–30.
Mode = 25.

Do Check: CBSE Class 10 Maths Syllabus

Statistics Class 10 Important Questions

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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