In this video you will learn about Box and Whisker Plots.

A box and whisker plot takes data and divides it into four parts.

Transcript

Hi Welcome to MooMooMath.

Today we are going to look at Box and Whisker Plots

A Box and Whisker Plot takes data and divides it into four parts.

To divide this into four parts we need five special numbers.

The five number summary is,

the smallest value or the minimum,

the largest value or the maximum, and that is just listing your data from smallest to largest.

You can see the spread of your data from high to low.

The other three numbers in the five number summary are,

the median which is the number that falls in the very center of the data or middle number.

You then find the lower quartile which is the middle number of the lower half, and the middle number of the top half.

So now what you have is 1,2,3,4 equal parts ( they might be longer or shorter) but your data falls into four parts

That is what we call quartiles.

We call this lowest quartile is Q1 which is at the top of the first 25 percent.

The median falls in the middle of the data and is at the 50 percent mark.

50 percent of the data falls below the median and 50 percent falls above the median,

Finally you have the upper quartile which sits at 75 % of the data.

You have 25 25 and another 25 so that sits at the 75 percent of the data.

The top 25 percent falls in this range.

So now you have your data divided into four parts called quartiles.

Lets look at an example and interpret a box and whisker plot.

We can see the median grade ( this is just test grades) is an 80.

When I list all of my grades from high to low the middle

The low score is a 65 and my high is a 100.

What is nice about looking at your max and minimum is that you can find your range quickly 100-65 equals 35 which is my spread of my data.

I also know that only 25 percent of my data fell between 65 to 75, and my next percent of grades fell between a 70 and 75, my next percent of grades fell between 80 and 85 and the top percent of grades fell between 90 and 100.

As a student, if I made an 85 I would know I was in the third quartile, not in the top group, but I was above average the median in the class.

That is how you can use Box and Whiskers Plot to interpret data.

Hope this video helped

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Please watch: "Study Skills Teacher's Secret Guide to your Best Grades"

https://www.youtube.com/watch?v=f3bsg8gaSbw

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Tagged under: plot,middle school math,basic statistics,box whiskers plot,moomoomath

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