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This video covers how to set up a stem and leaf plot and use it to find the mean and median of a set of numbers.
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.
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.
Full Transcript
- 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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