NCERT Solutions for Class 10 Mathematics Statistics Chapter 13
NCERT solutions for Class 10 Mathematics Chapter Statistics – complete answers & explanations
This blog provides complete NCERT solutions for Class 10 Mathematics Chapter Statistics. In this chapter, students learn about measures of central tendency such as mean, median, and mode for grouped data. These concepts help in understanding how data is analyzed and interpreted in real-life situations. This blog includes accurate answers strictly based on the provided worksheet, making it a reliable resource for exam preparation and practice.
What this NCERT chapter covers?
1. Understanding grouped and ungrouped data
and their representation
2. Calculation of mean using direct method, assumed mean method, and step-deviation method
3. Concept of cumulative frequency and its types
4. Finding median using cumulative frequency distribution
5. Understanding mode and identifying modal class
6. Application of statistical methods in real-life data interpretation
How to use these NCERT solutions?
1. First attempt all questions from the worksheet on your own
2. Use these solutions to verify your answers step-by-step
3. Carefully compare your method with the provided answers
4. Focus on understanding formulas and their applications
5. Parents and teachers can guide students by explaining calculation steps
6. Follow the exact order of questions as given in the worksheet
Important tips & tricks for students
1. Always identify class intervals and frequencies correctly before solving
2. Choose the appropriate method (direct, assumed mean, or step-deviation)
3. Avoid calculation mistakes while finding class marks and frequencies
4. Carefully compute cumulative frequencies for median
5. Identify modal class correctly before applying the mode formula
6. Practice regularly to improve speed and accuracy
NCERT solutions – complete answer key
Exercise 13.1
1. Find the mean number of plants per house.
Answers may vary.
Which method did you use for finding the mean, and why?
Answers may vary.
2. Find the mean daily wages of the workers of the factory by using an appropriate method.
Answers may vary.
3. The mean pocket allowance is Rs 18. Find the missing frequency f.
Answers may vary.
4. Find the mean heartbeats per minute for these women, choosing a suitable method.
Answers may vary.
5. Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?
Answers may vary.
6. Find the mean daily expenditure on food by a suitable method.
Answers may vary.
7. Find the mean concentration of SO₂ in the air.
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8. Find the mean number of days a student was absent.
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9. Find the mean literacy rate.
Answers may vary.
Exercise 13.2
1. Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
Answers may vary.
2. Determine the modal lifetimes of the components.
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3. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure.
Answers may vary.
4. Find the mode and mean of this data. Interpret the two measures.
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5. Find the mode of the data.
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6. Find the mode of the data.
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Exercise 13.3
1. Find the median, mean and mode of the data and compare them.
Answers may vary.
2. If the median of the distribution given below is 28.5, find the values of x and y.
Answers may vary.
3. Calculate the median age.
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4. Find the median length of the leaves.
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5. Find the median life time of a lamp.
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6. Determine the median number of letters in the surnames. Find the mean number of letters in the surnames. Also, find the modal size of the surnames.
Answers may vary.
7. Find the median weight of the students.
Answers may vary.
Why NCERT solutions help students?
NCERT solutions help students prepare effectively for exams by providing accurate and structured answers. They improve conceptual clarity, ensure alignment with the CBSE pattern, and build confidence in solving statistical problems correctly.
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