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Math Help - Other ways to get the average

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    Other ways to get the average

    I'm not looking for an answer, just a different way to do a calculation. Bascially a simple average from 1-100 is to add them all up and divide by 100. Is there another way to average them such as like splitting them up and making smaller group or something?
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    Quote Originally Posted by starface245 View Post
    I'm not looking for an answer, just a different way to do a calculation. Bascially a simple average from 1-100 is to add them all up and divide by 100. Is there another way to average them such as like splitting them up and making smaller group or something?
    Yes, if the numbers increase by exactly the same amount, as in 1, 2, 3, 4, 5, ....,100 all differ by 1.
    The average will be the middle term or the average of the two middle terms (as there are 100 terms) which is the average of the 1st and last terms.
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    I'm just using 1-100 differ by 1 as just an example, what happens if the numbers are randomize meaning the differ isn't always the same. Is there another way, I'm looking for a formula/theory or calculation in doing this.
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    Quote Originally Posted by starface245 View Post
    I'm not looking for an answer, just a different way to do a calculation. Bascially a simple average from 1-100 is to add them all up and divide by 100. Is there another way to average them such as like splitting them up and making smaller group or something?
    You could divide each number by 100 and then add those numbers together. If you split into two groups of 50, then you can find the average of each group, then the average of those two numbers. I don't really see an advantage to this though.
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    Say if I do ten groups of ten and get their average, then average all my answer up will that work?
    1thru10 / 10 = answer 1
    10thru20 / 10 = answer 2
    20thru30 / 10 = answer 3
    30thru40 / 10 = answer 4
    40thru50 / 10 = answer 5
    50thru60 / 10 = answer 6
    60thru70 / 10 = answer 7
    70thru80 / 10 = answer 8
    80thru90 / 10 = answer 9
    90thru100 / 10 = answer 10

    then add all the answer # up and divide by 10? would that will give me the same answer as if I added 1-100 then divide by 100
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    Quote Originally Posted by starface245 View Post
    Say if I do ten groups of ten and get their average, then average all my answer up will that work?
    1thru10 / 10 = answer 1
    11thru20 / 10 = answer 2
    21thru30 / 10 = answer 3
    ...
    91thru100 / 10 = answer 10

    then add all the answer # up and divide by 10? would that will give me the same answer as if I added 1-100 then divide by 100
    Yes except note corrections in red.

    Now can you tell us WHY this works?
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    thanks, the correction is that so I dont add the zero twices, meant to go to the next number
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