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Solved Questions on Line Charts

 

The following graph shows the annual food grain production from 1992 to 1997. Refer to the graph and answer the questions given below.

 

 
 
 

 

 
                                               
                                       

 

 

 

 

 

 

Question
 

1. How much is the approximate %age increase in production from 1992 to 1993?
1. 60                
2. 40        
3. 130                       
4. 110

Solution

1.How much is the approximate %age increase in production from 1992 to 1993?
First we look up the values of the production for the 2 years. Locate 1992 on the X axis, move vertically up along the Y axis direction in 1992, and we get value of production in 1992 as 70. In the same way we get the value of production in 1993 as 110.

In calculating % increases and decreases it is important to remember that the original year is the one that is used as the reference year, in this case 1992. So the required answer is (110 – 70)/70 = 57.14%.

 

Question 2

In which year was the production equal to the average of that of 1997 and 1992     
1. 1996            
2. 1995            
3. 1993                    
4. 1994
 

Solution

2. In which year was the production equal to the average of that of 1997 and 1992?
The production in 1992 was 80, that in 1997 was 120.
Average production of 1992 and 1997 = (80 + 120)/2 = 100.
This was the production in 1994. (4)

 

 

Question 3

In how many cases was the production below the average of the given years?
1. 3                 
2. 4         
3. 2                 
4. 1

Solution

In how many cases was the production below the average of the given years?
First calculate average production for 6 years = (80+ 110 + 130 + 100 + 120 + 65)/6 = 101.
Clearly in 1992, 1994 and 1996, the production was less than average. Hence ans. (1)

 

 

Question 4

If production in 1998 is estimated to be 20% lower than that in 1997, the estimate of 1998 production is?
1. 100 units     
2. 120 units     
3. 104 units             
4. 96 units
 

Solution

If production in 1998 is estimated to be 20% lower than that in 1997, the estimate of 1998 production is?
The production in 1997 is 120 units. 20% of 120 = 24 units less.
So 120 – 24 = 96 units is the new production. (4)

 

 

Question 5

The largest increase in foodgrain production has been in
1. 1993            
2. 1995            
3. 1997                    
4. 1996

Solution

5. The largest increase in foodgrain production has been in:
This question can be done visually. Note that absolute increase has been asked. The difference in Y coordinates of adjacent years will give us the increase. Since the space between consecutive years is the same on the X axis, we can check the slopes of various segments. The steepest slope means the highest increase. By visual inspection, the steepest slope is in 1997.

 

Question 6

If the lowest figure of production is removed from the data, the average for the remaining years is…..
1. 108 units     
2. 104 units     
3. 110 units             
4. 112 units.
 

Solution

If the lowest figure of production is removed from the data, the average for the remaining years is…..

 

In question 3, we had found the total to be 605. So we subtract 65 from this. The total for the remaining years is 605 – 65 = 540.
Thus the required average = 540/5 = 108 units.       
 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 





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