NCERT Solutions for Class 8 Mathematics Chapter Tales by Dots and Lines

This worksheet provides complete and accurate NCERT Solutions for Class 8 Mathematics Chapter Tales by Dots and Lines. This chapter focuses on understanding data using dots, lines, and graphs, helping students learn how to interpret and represent information visually. It is important for students as it builds strong foundational skills in data handling, averages, and graphical representation, which are essential for higher-level mathematics. This worksheet strictly follows the NCERT chapter and presents answers in a clear and structured format for easy understanding.

Chapter summary: stories, poems & themes

This chapter is activity-based and focuses on interpreting data using dot plots and line graphs. Students learn how to observe patterns, understand distributions, and analyse real-life data such as temperatures, prices, and seasonal variations. The main theme of the chapter is understanding how data can be represented visually and how measures like mean and median help in interpreting information.

What this NCERT chapter covers?

• Understanding dot plots and line graphs  
• Interpretation of data and patterns  
• Concepts of mean, median, minimum, and maximum  
• Observing trends and variations in real-life data  
• Activity-based learning through graphs and data interpretation  

How to use these NCERT solutions?

• Students should first try solving each question on their own before checking the answers  
• These solutions follow the exact NCERT order and structure for easy reference  
• Parents and teachers can use this worksheet to guide students step-by-step  
• It helps in revision, clearing doubts, and strengthening concepts  

Student tips & learning tricks

• Carefully observe graphs and data before answering  
• Pay attention to units and labels in graphs  
• Avoid guessing answers without analysing the data  
• Practice plotting graphs neatly and accurately  
• Understand the concept of mean as a balance point  

Why NCERT solutions are important?

• NCERT Solutions help in building strong conceptual understanding  
• They ensure students follow the correct method and logic  
• These solutions improve confidence in solving exam questions  
• They are aligned with school assessments and exams  

Complete answer key – NCERT solutions

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  
(a) False  

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  
(ii) 10, 12, 14, 16, 16  
(iii) 5, 6, 7, 8, 9, 10  
(iv) 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  

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  
Student-generated activity  
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 must be completed by analysing the given data in the textbook. :contentReference[oaicite:0]{index=0}

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