Making line plots with fractional data

We are told that for four days you record the number of hours you sleep each night. You round each time to the nearest one-fourth of an hour.

Then here on this table they tell us that our different days they tell us how many hours we slept. Day one we slept seven and a fourth hours. Day two seven and three fourths. Day three seven and three fourths. Day four eight and a half hours.

Then it says create a line plot that shows all of the measurements on the number line below. It says click above the tick marks to add dots. Click on tick marks to remove. Click on tick marks to remove dots.

So you can see if I click right over here a tick mark shows up, and if I click again it gets removed. So let's see day one you slept seven and one fourth hours. So that's one day where you sleep seven and one fourth. So seven and one fourth is right between seven and seven and a half, so that's right over there.

There you go! On day two you sleep seven and three fourths hours, so that's one-fourth, two-fourths, three-fourths. So that's day two. Day three you also sleep seven and three-fourths hours, so that's another day that you sleep seven and three-fourths hours.

Then on day four you sleep eight and a half hours, which is right over there. And so here we go, we have created a line plot that shows all of the measurements. On one day, day one it was, I slept seven and a fourth hours. There were two days where I slept seven and three-fourths hours, and there was one day where I slept eight and a half hours.

Let's do another example. Amy ran many miles during September. She recorded how long it took her to run each mile, rounded to the nearest one-fourth of a minute.

On the table below we can see it right over here. And actually let me move my window a little bit so you can see everything. Then it says create a line plot that shows all of the measurements on the number line below.

All right, so three times she was able to run a mile in eight and three-fourths minutes. So there are three that were eight and three-fourths. Notice this is if we look at the space between eight and nine, there's one, two, three, four equal intervals.

And so three-fourths is going to be three of those: one, two, three. She ran a mile in eight and three-fourths minutes three times; that's what we saw from that table.

So that's three times she did that. She ran a mile in nine and one-fourths minutes two times, so nine and one-fourth—that is one-fourth of the way to ten. We can see one-fourth, two-fourths, three-fourths, four-fourths.

So nine and one-fourths she did two times, so that's going to be one, two. And then let's see, nine and a half she did four times. Nine and a half is here, so one, two, three, four.

And then eight and a half she did one time, so that's eight and a half right over there. And then she ran a mile in nine minutes five times. Nine minutes, right over here: one, two, three, four, five.

And we're done.