Mathematics
Grade-8
Easy
Question
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict the number of pages that would be in a book with 180 pages.
- 12 chapters
- 15 chapters
- 18 chapters
- 21 chapters
Hint:
A trendline is a straight line that best represents the relationship between 2 variables shown by scatter points, all of which may or may not be passing through the trendline. It basically, smoothens or averages out the scatter points to show a straight line of relationship, for better understanding.
To find the number of chapters in a 180 pages book, we will find the point on the trendline for which y-coordinate (i.e. number of pages) is 180 and trace the x-coordinate for the same point.
The correct answer is: 18 chapters
GIVEN-
Scatter diagram representing relationship between 'Number of chapters' and 'Number of pages' in a book.
TO FIND-
Number of chapters in a book with 180 pages.
SOLUTION-
We will find the point on the given trendline which has a y-coordinate (i.e. number of pages) equal to 180.
We observe that for Point A on the given trendline, y-coordinate = 180 pages.
We trace the x-coordinate by drawing a dotted line from point A to the x-axis.
We find that the corresponding x-coordinate for point A is 18.
Hence, the book with 180 pages will have approximately 18 chapters as per the given data.
FINAL ANSWER-
Option 'c' i.e. '18 chapters' is the correct answer to the given question.
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