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Today we're going to go over how to find a five number summary of box plot and understand the shape of our box plot of the distribution.
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And so today we're going to be focusing on super bowl point spreads.
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So we're going to look at this set of data.
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And using our graphing calculator, we're going to see the number of points by which the winning team has won super bowls.
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You'll take a look at super bowl 3, which is the jets, which are my team.
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Only super bowl they've ever been a part of.
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You see they only scored small amount of points.
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And so what we're going to do here is we're going to take our calculator, go to stat, go over to edit, and we're going to put in this data.
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Now if you notice that there's some data already inside here, we're going to hit the clear button, highlighted on l1, and hit enter.
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And all that data will disappear so that we can put our new fresh data in here.
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And so in here we're going to put in our data, which is 25, 19, 9, 16, 3, 21, 717.
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That would be the first row.
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In the same l1, we're going to put in all of the data because we're talking about just one variable.
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So we put in 10, 4, 18, 17, 4, 12, 17, and 5.
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In 10, 29, 22, 36, 19, 32, 4, and 45.
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Put in 1, 13, 35, 17, 23, 3.
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10, 14, and 7.
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And then finally we have 15, 7, 27, 3, 27, and 3.
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And so that is our data from this set.
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So once you have all the data in, you're going to go to stat.
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You're going to go to edit.
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Sorry, you're going to go to stat.
02:28
You're going to go over to calc.
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And now you're going to go to one var stat, which stands for one variable statistics versus like two variable statistics.
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This is only one variable because it's all the same data.
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And so we hit enter.
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We're going to clear this out.
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We're going to go to and we're going to go and put in l1.
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If you have the 84 plus, you'll notice that you already have a spot that will say l1.
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Just make sure it says l1 and hit calculate.
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If you have this calculator, you get second number one for l1.
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And you click enter and you get a whole bunch of different data that you'll use in any statistics class.
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But for now we're going to focus on this bottom part, which is our one variable statistics.
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And there are five numbers here that we're going to use today.
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And so on our whiteboard, we're going to fill in those five numbers.
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We're going to fill in our minimum of one, our q1, which is our lower quartile, which is 7.
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We have our median, which is 15.
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We have our upper quartile, which is 22.
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And then finally, we have our maximum of 45.
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And so what we call this is a five number summary.
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Five number summary consists of your smallest number, which is your minimum.
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Your q1 is your lower quartile.
03:59
So that's the median of just the first half of the data...