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Based on the data below which student's score improved the most between the mid-term and final exam?

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And so they give us this data in terms of a bar graph for each student.We actually have two bars that show the mid-term in blue and then final exam in red.

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and they tell us that here,mid-term in blue,and final exam(in red)

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-and sometimes this is called a two column bar graph,because for each student here,you have two columns

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of data.So if you were to actually look at the data its self,you have the mid-term data and then the final

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exam data.Now,they are asking us,"which student's score improved the most

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between the mid-term and the final exams?"So,if we look at Jasmin right over here,might as well start with her since she

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might as well start with her since she

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is the most to the left.It looks like she definitely did improve from the mid-term to the final

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It looks like the mid-term,if I had to guess,this looks like about

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a,I don't know,looks like she got maybe a 72 or 73 on the mid-term,I'm just guessing.

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I don't know the exact number.And looks like on the final she got,I don't know

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that looks like maybe a 77 or 78,approximately.So she improved a little bit about

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5 points from the mid-term to the final.The way they have given us this information

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we don't know the exact numbers, because it isn't super precise

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in terms of marking off the bars.

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Hopefully it will become obvious when we look through everyone's scores

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Lets look at Jeff.

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Jeff actually did WORSE from the mid-term to the final exam.

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Looks like he got over an 85 on the mid-term,and then on the final

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looks like he got,about an 84 or 85.

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So he actually went down.

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So it is definately not Jeff.he definately did not improve the most

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he actually went down.

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Next,if you think about Nevin,

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it looks like Nevin actually improved about the same ammount

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as Jasmin.On both scores-I don't know if Nevin is a boy or a girl's name,

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this person on both tests,this person did better than Jasmin.

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But looks like the ACTUAL improvement is about the same.

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Looks like they went from about an 83 to,I don't know,about an 88.

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I am just estimating it,just trying to look at,look at this axis right

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over there,and estimating what those scores are.

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So Nevin and Jasmin right now, based on the three we have seen

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are tied for the lead.

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Now lets look at Alejandra.

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Now Alejandra-and this is,ok,this jumps out.

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She definately improved,DRAMATICALLY,

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from the mid-term, to the final exam.

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Looks like on the mid-term,she maybe got an 81 or an 82.

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So maybe this was an 82 she got on the mid-term,

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and then on the final,looks like she got about a 95,a 95 on the final.

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So this dramatic improvement.

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So right now,Alejandra is the leading contender

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for most improved,from the mid-term,to the final.

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And then,finally, Marta,

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right over here,

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looks like,she actually got worse from the mid-term to the final.

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She scored in the mid 90's on the mid-term,

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and then LOW 90's in the final.

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So she is definately not the most improved.

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So the winner here is Alejandra.

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Alejandra,is the most improved

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between the mid-term,and the final exam.