#How do I do the standard deviation formula?

1 messages · Page 1 of 1 (latest)

long wren
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I don’t have an example question or something in specific to base off of, but I really need help please.
Please have lots of patience with me and can simplify things. I’m struggling in math and appreciate the help. Thank you :)

sour maple
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is this question a how or a why

long wren
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What do you mean?

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I just don’t know how to do it and can’t seem to understand :(

sour maple
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TL;DR: Standard deviation tells us how much our data is spread out, small sd -> values are close together, large sd -> values are all over the place

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I'll try to explain using words without funny math symbols

long wren
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Ok! Thank you :)

sour maple
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(unless you prefer math notation?)

long wren
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I have no math understanding , so maybe words please

sour maple
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You first gotta find the mean (commonly called "average"), just add your values and divide by count

Then you take each value and subtract the mean giving you a "result"

Then you square each "result" (helps us gets rid of negative numbers + makes large differences even larger)

Then you find the mean of your "results" (add and divide by the number of results)

THen you take the square root of your mean of your "results"

long wren
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I understood until the third line. What does you mean square each result. How many results are there? :O

sour maple
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Same as your values

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each value yields you one result -> same count

long wren
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Ooh ok! I kinda get it! :D

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So I square root the results and that’s my answer?

sour maple
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The mean of your results yes

long wren
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Oh ok. So how would that be with the symbols? I saw the questions and feel overwhelmed :/

sour maple
long wren
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I don’t understand that :(

sour maple
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basically just tells us that we have to take a sqrt of something

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and that something is the (sum of (value minus mean squared))/(count of values)

long wren
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I probably would lose points if I don’t use the symbol right? :/

sour maple
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No clue how it's graded in psychology lol

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in math classes typically not, they usually only care about the result

long wren
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Could you give me like a practice question please, I want to try :)

sour maple
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99.2, 101.4, 100.1, 98.7, 100.8, 99.8

Calculate the sample standard deviation. Then determine if the batch passes a specification requiring standard deviation ≤ 2.0%.

long wren
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How about i calculate it first. I don’t know about the second part :/

sour maple
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yes

long wren
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How do I make a number a negative on a calculator

sour maple
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you put -? but you don't need that here lol

long wren
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Oh I have three negative numbers and I haven’t squared rooted yet

sour maple
long wren
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Ok, so the mean is 600

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No

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100

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Then I subtract 100 from the values

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I have -1.3
-0.8
1.4
0.1
0.8
-0.2

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I haven’t been able to square root

sour maple
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you forgot a step

long wren
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What really nooo

sour maple
long wren
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Oh I know I haven’t been able to square root

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I’m stuck there

sour maple
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No you square first

long wren
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Square root what?

sour maple
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Square

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not root

long wren
sour maple
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root comes later

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-1.3 * -1.3
-0.8 * -0.8
...

long wren
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What is square and is it different from square root :(

sour maple
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Welcome to How to Square a Number with Mr. J! Need help with exponents and what squaring a number means? You're in the right place!

Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with how to square a number. Mr. J will go through examples of squaring a number and explain what sq...

▶ Play video
long wren
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How do I square

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Ooh ok

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So I square with itself?

sour maple
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Yes

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To get rid of the negative numbers

long wren
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For -1.3 I got -1.69

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Is that ok?

sour maple
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no

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probably got your parens wrong?

long wren
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Why is mine negative still

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I know two negatives make a positive

sour maple
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Yes

long wren
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For -0.8 it’s 0.64

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Is the answer 0.9110?

sour maple
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looks ok

long wren
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Did you do all of that just now? So fast?

sour maple
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No I used some calculator website lol

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and just copy pasted in the numbers I posted earlier

long wren
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But I was right!! :D

sour maple
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but I'd expect it to take like 30 seconds if I actually had a calculator with me

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looks like the right result tho

long wren
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Yayyyy thank you so much!! :D

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Wow, I can’t believe it!

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I’m going to try again tomorrow on my own to see if I remember