Following is a problem of XY chart. I guess you all know how the data is presented in XY charts. Lets try this problem. I will tell you the good way to solve the question.
Problem1: Study the following graph and try to answer the questions:
Graph: Units of products Manufactured and Sold by a company over the years (Units in lac).
X axis `to` Years Y axis `to` Units of products.
1. Find the average number of units sold over the years?
2. Find the ratio of difference between the number of units manufactured and sold in year 2008 to the difference between the number of units manufactured and sold in year 2009.
3. Find the ratio of number of units of manufactured in year 2007 to number of units manufactured in year 2009.
4. What is the approximate per cent increase in number of units sold in year 2010 from previous year?
5. What is the difference between the number of units manufactured and number of units sold over the years?
Solution: Study the graph first:
 One line is presenting units of manufactured products and other units of sold products.
 Manufacture  Sold = Products left
YEAR

Units manufactured(M)

Units Sold(S)

Difference(MS)

2006

4

3

1

2007

6

3.5

2.5

2008

6.5

4.5

2

2009

5

2

3

2010

6.5

6

0.5

I just rewrite the values from chart. If you can easily read the chart that there is no need to make the table.
Lets start solving the questions.
1. Average number of units sold over the years = `(3+ 3.5+ 4.5+ 2+ 6)/5` = `(19)/5` = `3.8` lac
2. To find: Ratio of difference between the number of units manufactured and sold in year 2008 to the difference between the number of units manufactured and sold in year 2009.
See the above table: Difference in 2008 = `2`
Difference in 2009 = `3`
Therefore, Ratio will be = `2:3`
3. To find: Ratio of number of units of manufactured in year 2007 to number of units manufactured in year 2009.
Number of units manufactured in 2007 = `6`
Number of units manufactured in 2009 = `5`
Therefore, Ratio = `6:5`
4.To find: Approximate per cent increase in number of units sold in year 2010 from previous year
Number of units sold in 2010 = `6`
Number of units sold in 2009 = `2`
per cent increase = `(62)/2 times 100` = `200`%
5. To find: Difference between the number of units manufactured and number of units sold over the years.
Number of units manufactured = `4+ 6+ 6.5+ 5+ 6.5` = `28`
Number of sold = `3+ 3.5+ 4.5+ 2+ 6` = `19`
Difference = `28 19` = 9 lac.
I hope this article would help you to understand XY chart problems of Data Interpretation.
Also check the following article:
Data Interpretation: Tables
Data Interpretation: Bar Charts
Data Interpretation: Problems for practice
thanks for informing us ..can u provide more such shortcuts to solve DI problems..for me the calculation takes lots of time .It would be very helpful if u can provide more
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