How to Make a Histogram and Calculate the Bin Width (grades 6-7 math)

As a review of 6th grade statistics concepts, I show how to make a histogram using quiz scores as data. In a histogram, data is grouped into "bins". Before we can do that, we need to calculate the bin width. Simply find the range (maximum - minimum) and divide that by how many bins you'd like to have. A rough guideline for the number of bins is: take the square root of the number of data values you have. In this case, I have 20 data values, and square root of 20 is between 4 and 5, so 4-5 bins is reasonable.
I also discuss the central tendency (using mean) and the variability (using mean absolute deviation) of the data.
The 2nd part of this lesson (where we look at a box-and-whisker plot and more data analysis) is at • How to Create a Boxplo...
This lesson can be used in 6th grade (when students learn to make histograms) or in 7th grade (for review).
Learn more 6th grade math with Math Mammoth grade 6 curriculum at www.mathmammoth... and 7th grade math with Math Mammoth grade 7 curriculum at www.mathmammoth...

[@ClandestineGirl16X]

im a senior in college taking statistics. this video helped me. thank you

[@thetruepatriot7733]

Same..

[@brandonrios4484]

11th grade taking AP statistics this helped a lot I completely forgot what a bin width was

[@hannie798]

Watching a video meant for grade 6-7 when you're in an upper division statistics course FeelsGoodMan
i didn't help with my problem but thank u for the video, Ms. Math Mammoth

[@PHDWhom]

I don’t get where this is said to be for 6 and 7th graders. Really? We didn’t come anywhere near statistics in grade school, junior high or high school.

[@davidospinapiedrahita9396]

Is this really 6 grade math?

[@PHDWhom]

Maybe in some countries. Certainly not the United States.

[@manisha98-l2r]

Thank you.. I was preparing for class 12 informatics practices..

[@TheLord11000]

Really thank you
Love you from Egypt

[@agarwal_vivek]

Thanks a lot. You explained it exactly which I want to know. Your Explanation is very good.

[@olagiwa3200]

This was very helpful. Thank you for posting.

[@halehallamehhaery1803]

Thanks it was very helpful.

[@umerwaqas6136]

It is really helpful, thanks a lot for making such a wonderful video.

[@mahbubasumiya1693]

What are the frequency of these ones
0-2 3-4 5-6 7-8 9-10

[@enox_xx755]

thank you so much keep making videos please !

[@londanian]

Thank you so much! Very helpful and easy to understand.

[@vinniciuspereira6235]

Excelent!

[@Hoovercaden]

Thank you so much you're a life saver

[@cezartech112]

Thank you maam for sharing God Bless.

[@swapnatalari4323]

Thank you mam.its very helpful

[@corrieandjassie]

Saved me with my kids homework, it’s been too many years 😉

[@PHDWhom]

Your kids homework? What kind of special advanced school is this? We were not taught this in the sixth grade, let alone even high school.

[@yt-1161]

explained clearly

[@fatmaalgboory8274]

thank you your the best

[@raminbiglari8920]

well explained, thanks u

[@starrynight5207]

tell me why we're learning this in algebra 2

[@iqbalhussain4489]

Really helpful

[@Adin7785]

Good job!

[@singiraibaskey4551]

Thank you

[@Ranjankumar-gq8wc]

How to calculate no of class. =5. 20÷(5) =4

[@sophiepangilinan4972]

What if there is zero?

[@cxT9344]

JUST WOW

[@PHDWhom]

Grade 6 and 7 math? is this serious? I was class of ‘87 and this was not taught in any grade school when I was young.

[@MathMammoth]

If you check Common Core Standards for 6th grade math, histograms are included.
www.corestandards.org/Math/Content/6/SP/
CCSS.MATH.CONTENT.6.SP.B.4
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

[@PHDWhom]

@@MathMammoth awesome. It sure wasn’t this way when I was in school though.

[@PHDWhom]

@@MathMammoth in other words, when I was in grade school in the mid to late 70’s there was no Common Core and anything related to Algebra or Statistics was pushed to high school and/or college.
I’m middle aged now, attending college, and just now taking Algebra and some Statistics, and I simply cannot keep up. Common Core is awesome but we still have a surprisingly large gap of adults who do not have these skills because they were not taught them. I sure hope todays kids are ready to tutor senior citizens on higher math?