NCERT Solutions for Class 10 Mathematics Chapter 13 Statistics

NCERT Solutions for Class 10 Mathematics Chapter 13 Statistics
NCERT Solutions for Class 10 Mathematics Chapter 13 Statistics

NCERT Solutions for Class 10 Mathematics Chapter 13 Statistics

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NCERT Solutions for Class 10 Mathematics Chapter Statistics

This worksheet for Class 10 Mathematics Chapter Statistics helps students understand important concepts of data handling in a simple and structured way. This chapter focuses on calculating mean, median, and mode using different methods. It is an important chapter as it builds strong analytical and calculation skills that are useful in exams and real-life data interpretation. This worksheet provides complete and accurate NCERT Solutions following the exact format and structure of the NCERT textbook.

Chapter summary: stories, poems & themes

This chapter is concept-based and does not include stories or poems. It focuses on numerical data and its analysis. Students learn how to organise data, calculate averages, and interpret grouped data. The main learning theme is understanding statistical measures like mean, median, and mode and applying formulas correctly.

What this NCERT chapter covers?

• Calculation of mean using direct method  
• Understanding and working with grouped data  
• Finding median using cumulative frequency  
• Calculation of mode using formula  
• Interpretation of statistical data  
• Step-by-step problem-solving skills  

How to use these NCERT solutions?

Students should first try solving each question on their own and then refer to these solutions to check their answers. Parents and teachers can use this worksheet to guide students and ensure they follow the correct steps. These solutions follow the exact NCERT order and structure, making them useful for revision and better understanding of concepts.

Student tips & learning tricks

• Always write all steps clearly while solving statistical problems  
• Be careful while calculating cumulative frequency  
• Identify the correct class interval before finding median or mode  
• Double-check calculations to avoid mistakes in final answers  
• Practice different types of questions to improve speed and accuracy  

Why NCERT solutions are important?

NCERT Solutions help students understand the correct method of solving problems as per CBSE guidelines. They build a strong foundation in Mathematics and improve confidence during exams. Following NCERT-based solutions ensures accuracy and better preparation for school assessments and board exams.

Complete answer key – NCERT solutions

Exercise 13.1

1  
Mean = 32  

2  
f = 203  

3  
Mean = 27  

4  
Mean = 2116  

5  
Mean = 57.195  

6  
Mean = 75.94  

7  
Mean SO₂ concentration = 0.0987  

8  
Mean absent days = 12.48  

9  
Mean literacy rate = 69.4  

Exercise 13.2

1  
Mean = 12.5 days  

2  
Mode = 2666.7  
Mean = 2715  

3  
Modal class = 35–45  
Mode = 36.82  

4  
Mode = 31.8  
Mean = 30.9  

5  
Mode = 36.8  
Mean = 35.3  

6  
Mean = 69.4%  

Exercise 13.3

1  
Mean = 137.1  
Median = 137  
Mode = 135.8  

2  
Median = 146.75 mm  

3  
x = 8, y = 7  

4  
Median = 35.8 years  

5  
Median ≈ 3407 hours  

6  
Mean = 8.32 letters  
Median = 8.05 letters  
Mode ≈ 7.88 letters  

7  
Median ≈ 56.7 kg  

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