Pie Charts: Lesson (Basic Probability and Statistics Concepts)

CK-12 Foundation2013-07-09

CK-12 Foundation (Nonprofit Organization)#Probability And Statistics#Mathematics (Field Of Study)#circle#hundreds disk#pie chart#pie graph

10K views|11 years ago

💫 Short Summary

The video explains pie charts as a visual representation of data, using examples from a recent election. It demonstrates creating a pie chart using the hundreds method or circle method, stressing the importance of labeling sections and totaling 100%. It also shows how to determine degrees for percentages using a protractor, useful for accurate pie charts with percentages over 25% or 50%.

✨ Highlights

📊 Transcript

✦

Understanding pie charts in data visualization.

00:47

Pie charts visually represent data by showing relative sizes of different categories on a circle.

Creating a pie chart using the hundreds method or circle method, depending on whether you want to think in percentages or degrees.

Importance of labeling sections and ensuring all percentages add up to 100% for visual clarity.

Pie charts allow for easy comparison of data sizes.

✦

Determining degrees for percentages in a circle involves using a protractor to measure specific angles.

03:44

For example, 30% of a whole circle is equivalent to 108°.

The method requires dividing the circle into sections based on the percentage and measuring the corresponding angles.

Accuracy is crucial, so using a protractor is recommended, although eyeballing or using a computer can also be effective.

This technique is particularly useful for creating precise pie charts, especially when dealing with percentages greater than 25% or 50%.

00:01in this video we will learn all about

00:04pie charts a pie chart is a type of

00:07graph that shows the relative sizes of

00:10data

00:12visually a pie chart is made on a circle

00:16and the reason it's called a pie chart

00:19is because with all of the pieces in

00:21there and the different data it can sort

00:23of look like a pi so let's look at an

00:27example of some data here here's some

00:30data from a recent election we have four

00:33students A B C or D and we have the

00:37percent of votes that they received in

00:39the election so student a got 30%

00:42student B got 50% and so on so we could

00:47represent this with a pie chart which

00:48would be a nice visual way to see how

00:52many more votes student B got compared

00:55to the

00:56others so there's two ways you can think

00:59about making a High chart you can either

01:01make

01:02it with the hundreds disc method or the

01:06circle method depending on whether you

01:09want to think in percents up to 100% for

01:13the whole circle or in degrees up to

01:16360° in the whole circle so the circle

01:19on the left is broken into 100 different

01:22pieces and so this would be the hundreds

01:25method and we could use the circle

01:27method for the other Circle so let's

01:29start with the hundreds method we have

01:31student a got 30% of the votes so we

01:34want to shade in or color in 30% of our

01:38Circle for student a and label that with

01:40student a so you want to pick a color

01:44and each of these big wedges is 10 so I

01:48can just take three of those and this is

01:5230% of the circle and therefore

01:55represents student a now I can go on to

01:59student B who got 50% of the votes I'm

02:02going to pick another color and shade in

02:0550% of the circle for student B so

02:08remember 50% is half the

02:11circle or five of these

02:14wedges and don't forget when you make a

02:16pie chart to label your different

02:18sections or it will have little meaning

02:21or you can make a key off to the side

02:24too now we have student C got

02:2815% so that's a whole wedge plus a half

02:32of

02:36one and finally student D got

02:415% so student D is this last part right

02:46here make sure that all your percentages

02:49add up to 100% or else your whole graph

02:53won't really make sense or your whole

02:55pie

02:57chart and again the nice thing thing

02:59about a pie chart is it's very Visual

03:02and you can see from the pie chart how

03:05much bigger student B's area was

03:09compared to the others now if you use

03:11the circle method your result will be

03:13the same it's just sort of an how you

03:16think about it if you're thinking about

03:17it in terms of percentages or in terms

03:19of degrees so if you wanted to do the

03:22circle method you might start by

03:23thinking okay student B got 50% so

03:26that's

03:27180° or half of the circle and I might

03:30do them student B first and draw in a

03:35diameter and know that half of the

03:38circle

03:40180° is student B and then for student a

03:44which is 30% you'd have to figure out

03:47how many degrees is 30% of a whole

03:50circle so A whole circle is

03:53360° and 30% of

03:58360 is

04:00108 so you would want to use a

04:02protractor to measure out

04:06108° of this circle so maybe starting

04:09from this line right here measure

04:13108° to figure out where the next line

04:16should go so you have to have a

04:17protractor to be able to use that method

04:20and this is student a and then you would

04:24do the same thing for C and D okay 15%

04:28of 360°

04:30that is 54° and you'd use your

04:33protractor to measure

04:3554° and whatever is left should be the

04:38right thing for student D so the circle

04:41method works if you have a protractor if

04:44you don't then sometimes it's easy to

04:47just eyeball it or if you have computer

04:51that's an easy way to make sure it's

04:53actually completely accurate when you're

04:55making the pie chart especially if

04:57you're dealing with percentages that are

04:59more than than just 25% or 50% that are

05:02not too hard to sketch out

05:07yourself

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