How to find a missing value given the mean | Data and statistics | 6th grade | Khan Academy

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Learn how to find the value of a missing piece of data if you know the mean of the data set.

Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.)

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If you want a simpler way to solve or comprehend problems like this, I'll show you a trick that I developed randomly while I was solving my homework. I will use the same example used by Sal in this video.
First, do the mean times # of ages in this case. 4 times 6 = 24
Then, add all of the # of ages that you already have. 5+2+2+4+8=21
Finally, subtract your mean from the total # of ages you have. 24-21=3
Both methods that Sal and I used got the same result but in a similar yet different way.

mohammedal-sharab
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Simpler method


Add the data or Ages: 5+2+2+4+8 = 21

Multiply the mean to the *AMOUNT* of the data or ages: 4 x 6 = 24

Subtract The SUM of the Ages to the PRODUCT of the mean and amount of ages: 24 - 21 = 3

The missing data or age is 3

jljyeet
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You can also-
1. Add all values from the data (table).
2. Multiply the mean/average by the number of how many values there are.
3. Subtract the product from the sum, or vise versa.

deletedgirlfriend
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you are the best!!! I missed one class and I watched your video and got my homework done!! thank you!!!

kouxiong
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Why would someone put a thumbs down? He is trying to teach you math.

desiloumbrinis
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Thank you so much, I've been having some trouble when it comes to those questions because when I do my practice booklet, the answer page doesn't show the process of getting to the answer. This video helped me so much, thanks Khan.

jonathanzhu
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Thank you so much, this was extremely helpful :)

VibhorDubey
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Thank you all so much, the video and the help in the comments helped me finish a question that I was stuck on for a long time! 😅

KartikaKakaraparthi
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Thank you so much you helped me understand this topic in my class better thanks for making this video it helped so much!!!

asiacraig
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Also can you put this as one of your practice questions in the app so we can practice doing it?

Souls_of_the_Dead
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the case of the missing number is solved..

amnaclean
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This guy's math is another level simple problem solve with most complex way

thanxreaperlux
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so it's like working backwards right?

venomous_
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OMG I didn’t get it at the start and now you have helped me complete my homework thanks

ameliacorns
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Khan, will you help me by making a video on finding 2 missing frequencies when 2 mean of distribution is given? Please...

malamalini
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There are 6 numbers and the mean is 4. Adding all the numbers there are shown is 21, and you would divide the number by how many numbers there are, that's 6, so after it would be 4x6 which is 24, so the missing number is 3.

blazelightshine
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I'm 26 years old. I'm amazed this is for 6th graders :)

LilVador
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Oh M G this is the most complicated expectation ever

angelacruz
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Thx sal you really helped and don’t let the diss likes get to you

abdullahtahabsem
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thk you bro :) you explaination is so much clearer

fadhliawahab