#largest integer

65 messages · Page 1 of 1 (latest)

marsh spireBOT
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last dew
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How do we determine all of those measurements?

open holly
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okay so

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the average of all numbers is 2024

last dew
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...and what is "the average"?

open holly
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mean

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then median is average of 1012th and 1013th number

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i think those both need to be 2024 to satisfy it being an integer

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am I correct?

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difference between smallest and largest number is 2024 so thats the range as well

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and the mode is 2024 as we know

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my computation got 3036 but its appearently wrong

last dew
last dew
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(2023 + 2025)/2 = ?

open holly
open holly
last dew
open holly
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i mean i do have the equation max = min + 2024 right

last dew
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This gives us an upper bound on the max.

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We know the set contains the number 2024, therefore the greatest the minimum can be is 2024, therefore the greatest the maximum can be is 2024 + 2024 = 4048.

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Now, can the maximum actually be 4048?

open holly
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no

last dew
open holly
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well because the minimum and maximum would be equal

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i think the maximum possible is 4047

last dew
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...what?

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4048 = 2024?

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Because 4048 is the maximum of a set with minimum and range 2024.

open holly
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oh right

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it doesnt work because of the mode

last dew
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What's the mode?

open holly
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i mean its 2024 but if you include 4048 you would need to include additional non-2024 numbers

last dew
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...sums?

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What?

open holly
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*numbers

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sorry

last dew
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What is the definition of the mode?

open holly
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most common number

last dew
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So then the mode doesn't affect anything.

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Because we can have literally 2023 2024s.

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This is why I asked you what all those words mean.

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I was asking you to define them.

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Because that's the first step to using them to actually reason about the dataset.

open holly
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so how do i solve this

last dew
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...start... by defining... "mean", "median", "mode", and "range".

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Specifically in terms of how they are calculated.

open holly
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i did

last dew
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So. We know that the range is 2024.

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We know that the range is the difference between the max and min.

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Therefore, we know max = 2024 + min.

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Therefore the max of the max is 2024 + 2024 = 4048.

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Can the max actually be 4048?

open holly
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oh wait i managed to solve it

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its 4046

last dew
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Prove it.

open holly
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basically its a task based on inputing correct solution lol

last dew
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No.

open holly
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I just needed to fix 1 of my equations though

last dew
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It's a reasoning task.

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Prove the solution is 4046.

last dew
latent mossBOT
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@open holly

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