hello and welcome to a session of data interpretation in this session we shall look at examples of line graphs let's have a look at the graph now in this graph okay let's look at the directions consider the following graph and answer the question based on it so there is nothing much in the directions but we have to read the graph carefully now on the x-axis it is 0 2 4 8 6 which is the months and on the y-axis it is calories let's look at the bottom calories required per day by baby boys and baby girls in the first 18 months of their lives so this graphs gives us what the calorie requirement of babies of say 2 0 2 4 6 8 corresponding to 18 months for boys and girls separately boys the lines is given in terms of triangles and the girls it is given in terms of circles so here in the same graph we have boys girls two lines what all do we understand by these lines now if a line now if I see two things first of all the corresponding points now the difference between each and every corresponding point is same which is two months zero 2 4 6 8 10 12 14 16 18 so it's all but it's actually constant so there's only two months so if a line is steeper or rather it's at a higher elevation then it shows us what it's a higher incline or higher increment or a higher increase if it is slightly flatter which means it's a lower increase if the line is actually going down from one point to the next corresponding point then there is a decrease so by looking at just the line the the angle at which it is inclined or it is declined we can outrightly say that yes there is an increase at a high increase or a low increase compared to another one or a decrease let's start looking at the questions now at what ages are the requirements of calories for baby boys and baby it's equal we can also look at calculating each one of them but then how do we see it now the points at which both of them are intersecting with each other or overlapping is the point at which they are equal now if I start zero months okay they are not overlapping at two months since they're overlapping so boys and girls are at the same point if I go further 4 no 6 no 8 yes again at 8 they are overlapping if I go ahead 10 no 12 14 16 18 none of them are overlapping so I can very clearly say at 2 months and at 8 months they are overlapping which means that their calorie requirement happens to be the same at these two points which is two months in 8 months hence the last option which gives us two months and eight months is the right option let's have a look at the next question in the same graph the difference between the calories requirements for baby boys and baby girls at the age of six months is approximately equal to if you look closely into the graph there is a there are lines between 0 and 500 how many lines are there let's start counting one two three four lines so I can very clearly say that the first line is corresponding 200 second is 200 third is 300 fourth is 400 same way for the entire vertical axis same thing is replicating so from thousand to fifty hundred is 1,100 1,200 1,300 1,400 now let's start finding for girls at six months the circle is where slightly below 1500 as the line just below 1500 so it is 1,400 for boys it is two lines above 1500 so it is what 1600 and 1700 so there is 1,400 for girls 1700 for boys so the difference is what 300 calories so 300 is actually the right option which is option A let's look at the next question if in a family there are for baby boys aged 4 6 8 and 12 months respectively and 3 baby girls aged 2 eight and sixteen months respectively then what is the total calories required to many boys and girls in same family but let's start looking at it at the age of four months now four months it is one notch below 1500 the triangle is one much below 1500 let's complete the boys first so for six months six months it is two notches above 1500 so it becomes 1700 for eight months it is bang-on 1500 so that's 1500 for 12 months okay 12 months it is actually if you look it is at 3,000 so 3,000 so it's 1,400 plus 1700 plus 15 hundred plus 3,000 that is the requirement for boys what about girls so two months at girls is two notches above thousand so the circle which is actually overlapping so it's 1200 then for the eight months eight months it is exactly on 1,500 and for 16 months it is exactly on 2,000 so 1500 plus 2,000 plus 1200 so the total for every one becomes twelve thousand three hundred which is the first option so twelve thousand three hundred is the right option let's have a look at the next question it can be inferred from the graph that in general calorie requirements for baby boys and baby girls now there are four things given completely on different things so we'll have to check each one of them so let's see for the first one the calorie requirement for baby boy and baby girls are quite different at all ages at all ages it is not at almost all ages so at all ages means they have to be different at all but the first question said if you remember it was two months in eight months where we found out that both of them are same so they are technically not same at all ages at two not different at all ages at two months and eight months they are same so first statement actually is not completely true or rather I cannot mark it true let us look at the second statement calorie requirements for baby boys and maybe girls are similar till the age of 70 months this again is not same because they are not similar at one point in time this is going on up and another point there is going down so if you look at from zero to two months both of them go up to two for one of them goes up one of them goes down so there is no similarity there right so we cannot again mark the second option correct let's forget it third statement reaches a peak value at the same age wait a second when is the peak value for the boys looking at the triangles it's 16 months when is the peak value for girls it is 14 months so this also is not true hence the last option which is none of these happens to be true because the first three options are not actually getting you somewhere let's have a look at another type of example let's have a look at this figure the following graph gives us information about the number of washing machines produced by hll during 1992 2004 okay now this is again a line graph but here there are two separate y-axis one on the left and one on the right one on the left gives us number of machines and thousands and one on the right gives us total value of machines in rupees crores and the figure shows washing machines manufactured by a chelate the one which is the gray box gives us the number of machines now number of machines has to be compared with the left side which is left axis whereas one on the right gives us the value of machines which is in transparent triangles let's look at the question now what was the value of each machine in the year 2000 now in the year 2000 let's have a look at both the values number of machines and value of machines because total value of machines divided by total number of machines will give me value of each machine right so number of machines for number of machines I have to go for the gray blocks and then I have to refer to the left axis which is number of machines axis so here it is slightly above 4 so I and probably assumed it to be around 4500 and what about the right hand side now that gives us the total value of machines for the total value of machines if I start assuming it will be somewhere around 25 or rather 25 crores 25 crores divided by 4,500 will give me how much will give me the second option which is fifty five thousand five fifty five that will be the right option here so this is how in the same graph there are two separate accesses or other two separate reference columns for each line or each point here there is only one question but suppose they were toward three or four more questions then it is always wise to start putting the values which are required looking at the question had it been the value of two thousand also required in 2001 and 2002 I would have preferred to write down the three corresponding values of these ones right at the outset because the confusion can be very easily created by the two axis anyways using the line graphs we can actually find out a lot of things the slope of the line will give us an idea about the increase or the decrease so we will have to keep that in mind while solving and of course use mental calculations to make the calculations easier and faster all the best
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