8th Math NCERT Chapter 13
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Here are the important topics from the chapter on "Introduction to Graphs" along with brief summaries:
1. Line Graphs:
– Line graphs display data that changes continuously over periods of time. They are useful for showing trends and patterns in data7.
2. Interpreting Graphs:
– Graphs can provide information about various scenarios, such as performance comparisons between individuals or the progress of a journey from one point to another7.
3. Data Analysis:
– Graphs help in analyzing data visually, making it easier to understand and interpret trends and relationships within the data7.
4. Graphical Representation:
– Graphs are visual representations of collected data and are used to present information clearly and concisely, aiding in better comprehension compared to tables7.
In a line graph, what does the horizontal line represent and what is usually labelled on the vertical line?
The horizontal line in a line graph represents the timings at which data points were recorded, while the vertical line is usually labelled with the data values corresponding to those timings.
Explain how a line graph can show trends or comparisons using an example.
A line graph can show trends or comparisons by connecting data points with line segments. For example, in a time-temperature graph, the pattern of temperature changes over time can be easily seen, such as an increase or decrease in values at different recorded times.
From the given example of batsmen A and B's performance graph, explain which batsman appears more consistent and why.
Batsman B appears more consistent because he has a more steady performance without significant peaks or valleys in his runs scored, unlike Batsman A who has high peaks and low valleys in his performance.
Using the example of a car's journey graph, explain how one can determine if the car stopped at any point during the journey.
One can determine if the car stopped during its journey by observing horizontal line segments in the graph that show the distance covered remaining constant over a period of time, indicating a stoppage without any progress in the distance travelled.
For the temperature graph of a patient in a hospital, answer the following questions: (a) What was the temperature at 1 p.m.? (b) When did the temperature reach 38.5°C? (c) When did the patient's temperature show the same value twice?
(a) The patient's temperature at 1 p.m. can be determined from the graph. (b) The time when the temperature reached 38.5°C should be identified on the graph. (c) The times when the patient's temperature showed the same value twice during the recorded period need to be found on the graph.
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