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Tales by Dots and Lines Exercise 5.2 Class 8 Maths – Chapter 5 NCERT Solutions
Detailed NCERT Solutions for Class 8 Maths Chapter 5, Tales by Dots and Lines, Exercise 5.2 are provided below. Prepared by the ALLEN faculty team according to the newly updated syllabus, these solutions provide step-by-step explanations for exam preparation and practice.Exercise 5.2, Visualising and Interpreting Data, focuses on reading and interpreting line graphs, representing data graphically, and identifying changes and trends in data over time. The exercise includes real-life data such as temperature, rainfall, and other time-based information.
1.0Download Class 8 Maths Chapter 5 Ex 5.2 NCERT Solutions PDF
Get the Exercise 5.2 NCERT Solutions PDF for Class 8 Maths Chapter 5 and refer to the solved questions while working through the exercise.
2.0Detailed NCERT Solutions for Tales by Dots and Lines Exercise 5.2 Class 8 Maths (Ganita Prakash Term 2)
1. The average number of customers visiting a shop and the average number of customers actually purchasing item over different days of the week is shown in the table below. Visualise this data on a line graph.
Sol. While drawing a line graph, we follow these steps. First, we decide what to put in x -axis and -axis. We always use time in x-axis - so Day of the week is in x -axis.
So, Number of Customers are in y -axis. Then, we find out our Scale. Since numbers go from 7 to 35. We choose Scale 1-unit length = 4 units. Lastly, we decide our legend - which color to denote.
We choose Blue for Visiting, Red for Purchasing.
(i) What could be the possible method to compile this data? (ii) Mark the data for Mangaluru, Port Blair and Rameshwaram in the line graph shown below. You can round off the values to the nearest integer.
Sol. (i) Just like temperature, meteorologists collect daily rainfall data over several years.
They then add up all the rain that fell in a specific month (say, all the Junes over a 10-year period) and average it out to find the "typical" amount of rain for June. To represent it a line graph is used. (ii) Since the graph is already given, we just plot points and join them by straight lines.
Thus, our graph looks like
(iv) Mangaluru receives the most number of days of rainfall per year, and Rameswaram receives the least. (v) For New Delhi, the numbers peak heavily in July and August (around 10 days of rain each), so that is the rainy season. For Rameswaram, the numbers peak late in the year: October (8.1), November (10.4), and December (7.8), making its rainy season late autumn/early winter.
3. The following line graph shows the number of births in every month in India over a time period.
Sol. (i) The graph shows a distinct, repeating wave pattern. Birth dip low at the beginning of the year and hit a peak in the later months of the year, every single year. (ii)
The dot is between 1.5 M and 2 M . Thus, we can say it is approximately 1.75 Million. (iii) The graph starts slightly before July 2017 and ends slightly after January 2020. So, it roughly covers mid-2017 to early 2020 (iv)
We notice that
- Dot of Jan 2019 is higher than Dot of Jan 2018
- Dot of Jan 2020 is same as than Dot of Jan 2019 (v) We can calculate the approximate values for each month For each month, value is
- Jan
- Feb
- Mar
- Apr
- May
- Jun
- July
- Aug 2019-2M
- Sep 2019-1.95 M
- Oct 2019-2 M
- Nov 2019-1.9 M
- Dec
Thus, Number of births in 2019
3.0Key Concepts of Chapter 5 Tales by Dots and Lines Exercise 5.2
- Understanding and interpreting line graphs
- Representing data on a line graph
- Reading changes and trends in data over time
- Comparing data represented through line graphs
- Interpreting temperature, rainfall, and other real-life data
- Identifying patterns and changes from line graphs
4.0Benefits of NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2
- Interprets information presented through line graphs.
- Represents given data using appropriate line graphs.
- Identifies increases, decreases, and trends in data over time.
- Compares different sets of data represented on line graphs.
- Interprets temperature, rainfall, and other real-life data through graphs.
- Draws conclusions from changes and patterns shown in graphical data.
- Analyses birth and other time-based data using line graphs.