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Statistics and Probability Videos 134 videos

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Box and Whisker Plots 59230 Views


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Description:

This video shows all the steps to creating a Box and Whisker Plot: finding the median of a list of numbers, calculating the values for Quartiles I, II, and III, and identifying extreme values.

Language:
English Language

Transcript

00:05

Box and Whisker Plots a la Shmoop

00:09

And we're back to... The Smell. It's the show where a panel of judges and you, the home

00:15

viewer, get to vote on which celebrity smells the best.

00:18

There's a scratch-n-sniff card in TV Guide. Here are the scores for last night's show...

00:25

Let's create a box-and-whisker plot for the judges' scores.

00:28

While we take another sniff and compare our scores with the judges', it might help you

00:32

to put them in numerical order and find the median, or the middle score.

00:37

But uh oh... because we have an even amount of data, there are TWO middle numbers. Thirty-nine

00:44

and forty-four. So to find the true middle number, we can add the two middle numbers

00:49

together and divide by two to get the median...

00:53

39 plus 44 equals 83... and 83 divided by 2 equals... forty-one point five.

01:01

Another way of saying the median, is "Quartile Two," which would be a great name for a fragrance.

01:09

Now we want to find the median of the celebrities who are less than quartile two...

01:12

...also known as "quartile one" or "rancid." They must have just come on set after working

01:16

out...

01:17

The two middle scores in this instance are thirty-eight and thirty-six.

01:21

Add them together and divide by two to get the median of quartile one... 38 plus 36 equals

01:26

74... and 74 divided by 2 equals 37.

01:30

Now do the same for the upper quartile, or "quartile three."

01:37

50 plus 47 equals 97... and 97 divided by 2 equals 48.5.

01:44

The median for quartile three is forty-eight point five.

01:48

Now just note the extreme values, which are the bottom and top scores, Ben with 32, and

01:53

Bradley with 52.

01:54

Sorry, Ben, looks like you got snubbed by The Smell, too.

01:55

You can use this data to create your chart, which should look like this...

02:05

And you're done! Make sure to call in and text your votes. We hear one lucky viewer

02:09

will be chosen to win a Smell-O-Vision TV!

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