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 kzread.info/dash/bejne/dJ-T2ZKepbjAk7A.html
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.com/complete/grade_6.php and 7th grade math with Math Mammoth grade 7 curriculum at www.mathmammoth.com/complete/grade_7.php
Пікірлер: 36
im a senior in college taking statistics. this video helped me. thank you
@thetruepatriot7733
Жыл бұрын
Same..
11th grade taking AP statistics this helped a lot I completely forgot what a bin width was
This was very helpful. Thank you for posting.
Thanks a lot. You explained it exactly which I want to know. Your Explanation is very good.
Thank you so much! Very helpful and easy to understand.
It is really helpful, thanks a lot for making such a wonderful video.
thank you so much keep making videos please !
Thanks it was very helpful.
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
2 жыл бұрын
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.
Is this really 6 grade math?
@PHDWhom
2 жыл бұрын
Maybe in some countries. Certainly not the United States.
Thank you.. I was preparing for class 12 informatics practices..
Thank you so much you're a life saver
Really thank you Love you from Egypt
What are the frequency of these ones 0-2 3-4 5-6 7-8 9-10
thank you your the best
Excelent!
Really helpful
well explained, thanks u
Thank you mam.its very helpful
Good job!
explained clearly
Thank you
Thank you maam for sharing God Bless.
tell me why we're learning this in algebra 2
How to calculate no of class. =5. 20÷(5) =4
Saved me with my kids homework, it’s been too many years 😉
@PHDWhom
2 жыл бұрын
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.
What if there is zero?
JUST WOW
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
2 жыл бұрын
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
2 жыл бұрын
@@MathMammoth awesome. It sure wasn’t this way when I was in school though.
@PHDWhom
2 жыл бұрын
@@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?