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based on the data below which students score improved the most between the midterm and final exams and so they give us this data in terms of a bar graph for each student we actually have two bars that show the midterm in blue and then the final exam in red and they tell us that here midterm in blue and final exam and sometimes this is called a two column bar graph because for each student here you have two columns of data so if you were actually look at the data itself you have the midterm data and then you have the final exam data now they're asking us which students score improved the most between the midterms and the final exams so if we look at jasmine right over here might as well start with her since she's the most to the left it looks like she definitely did improve from the midterm for the final it looks like in the midterm if I had to guess this looks like about a I don't know it looks like she got maybe about a 72 or 73 on the midterm I'm just guessing because I don't know the exact number and it looks like on the final she got I don't know that looks like maybe a 77 or 78 approximately so she improved a little bit about five points from the midterm to the final the way that they've given us this information we don't know the exact numbers because it's not it's not super precise in terms of marking off the bars but hopefully it'll become obvious when we look through everyone's scores let's look at Jeff so Jeff Jeff actually did worse from the midterm to the final exam he got he got looks like over an 85 on the midterm and then on the final he got about an 84 and 85 so he actually went down so it's definitely not Jeff he definitely did not improve the most he actually went down next if you think about Nevin it looks like Nevin actually improved about the same much same amount as jasmine on both scores I don't know if Nevin is a boy or girl's name this person on both tests this person did better than jasmine but it looks like the actual improvements about the same looks like they went from about an 83 to I don't know about an 88 I'm just estimating it just trying to look at look at this axis right over there and estimating what those scores are so Nevin and jasmine right now based on the three we've seen are tied for the lead now let's look at Alejandra now Alejandra this is okay so this dumps out she definitely improved matically from the midterm to the final exam it looks like on the midterm she maybe got an 81 or an 82 so maybe this was an 82 she got on the midterm and then on the final looks like she got about a 95 a 95 on the final so it's dramatic improvement so right now Alejandra is the leading contender for most improved from the midterm to the final and then finally Marta right over here it looks like she actually got worse from the midterm to the final she scored in the mid-90s in the midterm and then low 90s in the final so she's definitely not the most improved so the winner here is Alejandra Alejandra is the most improved between the midterm and the final exam