NCERT solutions for Class 8 English Chapter Tales by Dots and Lines – complete answers & explanations

This chapter, Tales by Dots and Lines, for Class 8 English introduces students to interesting concepts through visual representations like dots, lines, and graphs. It helps learners understand how information can be organized, interpreted, and analyzed in a clear and meaningful way. The chapter plays an important role in building logical thinking and observation skills, which are essential for both academics and real-life situations. With clear and reliable NCERT solutions, students can easily understand how to approach different types of questions in this chapter. These solutions guide learners step by step and help them gain confidence while practicing. Download the worksheet and practice alongside solutions for better clarity. Book a free trial now to get expert guidance.

What this NCERT chapter covers?

1. Understanding how data can be represented using dots and lines.
2. Learning how to read and interpret visual data like graphs and plots.
3. Developing skills to calculate mean, median, and other basic measures.
4. Exploring how data distribution affects interpretation.
5. Identifying patterns and trends from given data sets.
6. Understanding graphical representation such as line graphs.
7. Learning how to compare different data sets visually.
8. Practicing logical reasoning through data-based questions.
9. Building analytical thinking skills through observation.
10. Applying concepts to solve real-life data-related problems.

How to use these NCERT solutions?

1. Start by attempting all questions from the worksheet on your own.
2. Carefully read each question and understand what is being asked.
3. Use these solutions to check your answers after attempting the worksheet.
4. Compare your approach with the given answers to improve accuracy.
5. Focus on understanding mistakes rather than just correcting them.
6. Follow the sequence of questions as given in the worksheet.
7. Parents and teachers can guide students by discussing each answer.
8. Re-practice questions where mistakes were made to strengthen concepts.
9. Use explanations provided to understand reasoning behind answers.
10. Revise regularly to improve speed and confidence.

Important tips & tricks for students

1. Always read the question carefully before solving.
2. Pay attention to data values while working with graphs and plots.
3. Double-check calculations for mean, median, and totals.
4. Avoid skipping steps while solving numerical questions.
5. Practice interpreting graphs regularly to improve speed.
6. For activity-based questions, focus on observation and reasoning.
7. Maintain neat and organized work while solving problems.
8. Review common mistakes and avoid repeating them.
9. Try to understand patterns instead of memorizing answers.
10. Stay consistent with practice to build strong concepts.

NCERT solutions – complete answer key

SECTION: Figure it Out (Page 113–115)

1
(i) 25.5
(ii) 50
(iii) 102

2 Missing value = 9

3
(i) No
(ii) 149.2 cm

4 Album B
Explanation:
The mean is the balance point of the data. In Album B, the distribution of dots is balanced around approximately 5.57, unlike A and C where the spread is uneven. Hence, Album B has mean ≈ 5.57.

5 Median = 41
(i) 41
(ii) 40, 42
(iii) 41

6
(i) Sometimes true
(ii) Always true
(iii) Never true
(iv) Never true

7 y = 13

8 Sum = 2010

9 p = 29

10
(i) 4
(ii) 4
(iii)
(a) False
(b) True
(c) True
(d) False
(e) Average = 5, Median = 5

11 Minimum = 1, Maximum = 10, Mean =7, Median = 7

SECTION: Figure it Out (Page 122–123)

1
Explanation:
Plot both “Visiting” and “Purchasing” values against days (Mon–Sun) on the same line graph.

2
(i) Explanation: Data is collected over many years and averaged for each month.
(ii) Explanation: Plot the values of Mangaluru, Port Blair, and Rameswaram on the given graph.
(iii) New Delhi data (approx.):
Jan – 1 Feb – 2 Mar – 2 Apr – 1
May – 2 Jun – 4 Jul – 10 Aug – 10
Sep – 4 Oct – 1 Nov – 0 Dec – 1
(iv) Most : Mangaluru, Least: Rameswaram
(v) New Delhi: June – September
Rameswaram: October – December

3
(i) Births show seasonal variation with peaks and dips.
(ii) About 1.5 million
(iii) 2017 to 2020
(iv) Increasing trend
(v) About 18 million

SECTION: Figure it Out (Page 127–132)

1
(i) Example:
10 10 10
10 10 10
10 10 10
(ii) Yes

2
(i) 6, 8, 10
(ii) 10 , 15, 16, 21
(iii) 10, 12, 14, 16, 16
(iv) 5, 6, 7, 8, 9, 10
(v) 2, 3, 4, 10, 12, 15

3 Possible values: many possibilities (e.g., 12, 13, 14)

4 Many possibilities ( e.g. 3, 11, 5, 7, 15, 6)
(Mean = 6.5)
More possibilities exist as long as total sum = 39

5
(i) Sometimes true
(ii) Always true
(iii) Always true

6
(i)
(a ) False
(b ) False
(c ) True
(d ) False

(ii)
(a ) True
(b ) False
(c ) False
(d ) False

(iii)
(a ) Cannot be determined
(b ) Cannot be determined
(c ) Cannot be determined
(d ) True

7 No
Method:
Count all data points and find their mean by summing values and dividing by total count. The balance point (mean) is not at 17 based on distribution, hence 17 is not the mean.

8
Mean weight: No change (remains 65.3 kg)
Median weight: Likely unchanged (remains 67 kg), but exact change cannot be guaranteed without full data distribution

9
(i) Explanation: Draw line graph for any 3 states
(ii) Explanation: Prices generally increase over years
(iii) Detailed comparison: States like Mizoram and Uttar Pradesh show higher increase in salt prices over time, while Gujarat remains relatively stable. Differences highlight regional pricing variations.
(iv) In Mizoram the price has increased the most from 2016 to 2025?
(v) Answers may vary

10- 15
Answers may vary

Explanation:
All remaining questions involve interpretation of given data, graphs, or activities. Answers depend directly on observation, plotting, or reasoning based on provided visuals and hence must be completed by analysing the given data in the textbook.

Why NCERT solutions help students?

NCERT solutions help students prepare effectively for exams by giving them a clear understanding of how to answer questions correctly. They improve concept clarity, ensure alignment with NCERT answers, and build confidence through consistent practice. With the right approach, students can strengthen their fundamentals and perform better in assessments.

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