ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

Box and Whisker Plots 59230 Views


Share It!


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!

Up Next

SAT Math 6.1 Geometry and Measurement
3974 Views

SAT Math 6.1 Geometry and Measurement

Related Videos

CAHSEE Math 3.4 Statistics, Data, and Probability I
363 Views

Statistics, Data, and Probability I: Drill Set 3, Problem 4. How many different avatars can be created based on the given options?

CAHSEE Math 3.2 Statistics, Data, and Probability II
224 Views

Statistics, Data, and Probability II Drill 3 Problem 2. Which two sports together make up for the preferences of more than half of all those w...

CAHSEE Math 3.3 Statistics, Data, and Probability II
198 Views

Statistics, Data, and Probability II Drill 3 Problem 3. One hundred twenty of those who were asked preferred what sport?

Pre-Algebra: Sampling Methods
1865 Views

If you're looking for tips on how to score more free samples at Yogurtland, you've got the wrong video.