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 19 chapters.
- 150 pages
- 170 pages
- 190 pages
- 210 pages
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 pages in a book with 19 chapters, we will find the point on the trendline for which x-coordinate (i.e. number of chapters) is 19 and trace the y-coordinate for the same point.
The correct answer is: 190 pages
GIVEN-
Scatter diagram representing relationship between 'Number of chapters' and 'Number of pages' in a book.
TO FIND-
Number of pages in a book with 19 chapters.
SOLUTION-
We will find the point on the given trendline which has an x-coordinate (i.e. number of chapters) equal to 19.
We observe that for Point A on the given trendline, x-coordinate = 19 chapters.
We trace the y-coordinate by drawing a dotted line from point A to the y-axis.
We find that the corresponding y-coordinate for point A is between 180 and 200.
Hence, the book with 19 chapters will have approximately 190 pages as per the given data.
FINAL ANSWER-
Option 'c' i.e. '190 pages' is the correct answer to the given question.
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