## Reading bar graphs | Applying mathematical reasoning | Pre-Algebra | Khan Academy

Based on the data below,

which student’s 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 to 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

student’s 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 to 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 then 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 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 actually did worse from

the midterm to the final exam. He got looks like over

an 85 on the midterm and then on the final he

got about 84 or an 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 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

improvement is about the same. Looks like they went from

about 83 to, I don’t know, about an 88. I’m just estimating

it, just trying to 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– OK,

so this jumps out. She definitely improved

dramatically 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, it

looks she got about a 95 on the final. So there’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.

Khaaaaaaaaaaaan… Academy.

2nd

hi

Lets reflect on your life, you failed all math classes and could never learn even what 1+ 1 was, you ran away from home and school after no job would except your idiocy, you became a drug dealer, and now look where we are… NO BRAIN

please zap torreulloa1973's comment

Why you didnt apply a trend? how do you apply it to this case?

I have never seen this before!!

It is cool

why not Marta???

My name's Jeff