Experimental Design B/C

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Re: Experimental Design B/C
I'm new to division C...how do you do Standard of Deviation? That is part of the Statistics in C, right?
2014 (Wright State/Lisle/Grayslake/Regionals/State/Nationals)
Water Quality: 8/1/2/1/2/3
Experimental Design: 12/1/5/5/8/37
Road Scholar: 12/2/2/3/3/11
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Water Quality: 8/1/2/1/2/3
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Re: Experimental Design B/C
Hey Heavyhitter!
So I've always been confused by that big complicated expression myself. Standard deviation is basically measure of how spread out your data values are.
Analyzed step by step:
1. Take the mean of the data. (Symbol is x with bar over it)
2. For each data point, subtract mean from the data point. Then square this difference.
3. Add up the squares.
4. Divide this sum by number of terms minus 1. (Symbol of number of terms is n.)
5. Take square root.
For example:
Data set: 1, 3, 5, 7, 9
1. Mean = 5
2 and 3. (1 minus 5)^2 + (3 minus 5)^2 + ... = 40
4. 40 divided by (5 minus 1) = 8
5. Square root of 8 = 2.828
Standard Deviation = 2.828
Note:If your data includes possible data points for a population, then in step 4 you would instead divide by the number of terms. But if you're working with a sample of the data, which is probably the case in XPD, you divide by number of terms minus 1.
Ex. If you're analyzing the height of ALL students in your grade level, then you divide by number of data values. If you analyze the height of a randomly selected, representative sample of students in your grade level, you divide by number of data values minus 1.
Alternatively, since you can calculate Standard Deviation on your Scientific/Graphing calculator. Plug data in Stat, and use 1var stats. Standard deviation is roundgreek symbol with line out.
Good luck
So I've always been confused by that big complicated expression myself. Standard deviation is basically measure of how spread out your data values are.
Analyzed step by step:
1. Take the mean of the data. (Symbol is x with bar over it)
2. For each data point, subtract mean from the data point. Then square this difference.
3. Add up the squares.
4. Divide this sum by number of terms minus 1. (Symbol of number of terms is n.)
5. Take square root.
For example:
Data set: 1, 3, 5, 7, 9
1. Mean = 5
2 and 3. (1 minus 5)^2 + (3 minus 5)^2 + ... = 40
4. 40 divided by (5 minus 1) = 8
5. Square root of 8 = 2.828
Standard Deviation = 2.828
Note:If your data includes possible data points for a population, then in step 4 you would instead divide by the number of terms. But if you're working with a sample of the data, which is probably the case in XPD, you divide by number of terms minus 1.
Ex. If you're analyzing the height of ALL students in your grade level, then you divide by number of data values. If you analyze the height of a randomly selected, representative sample of students in your grade level, you divide by number of data values minus 1.
Alternatively, since you can calculate Standard Deviation on your Scientific/Graphing calculator. Plug data in Stat, and use 1var stats. Standard deviation is roundgreek symbol with line out.
Good luck

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Re: Experimental Design B/C
Standard deviation is somewhat different from other statistics needed for this event. Unlike the mean, which is an average (a reference number), or the range, (a specific reference point for data values), standard deviation is how much your data should deviate from the mean. Within +/ 3 standard deviations of the mean, (if your mean is 5 and your deviation 1, that would be from points 2 through 8) around 97% of your data should be there. It makes a nice bell curve, if your data is good. Something like 70 ish % should be one standard deviation away.actionpotential wrote:Hey Heavyhitter!
So I've always been confused by that big complicated expression myself. Standard deviation is basically measure of how spread out your data values are.
Analyzed step by step:
1. Take the mean of the data. (Symbol is x with bar over it)
2. For each data point, subtract mean from the data point. Then square this difference.
3. Add up the squares.
4. Divide this sum by number of terms minus 1. (Symbol of number of terms is n.)
5. Take square root.
For example:
Data set: 1, 3, 5, 7, 9
1. Mean = 5
2 and 3. (1 minus 5)^2 + (3 minus 5)^2 + ... = 40
4. 40 divided by (5 minus 1) = 8
5. Square root of 8 = 2.828
Standard Deviation = 2.828
Note:If your data includes possible data points for a population, then in step 4 you would instead divide by the number of terms. But if you're working with a sample of the data, which is probably the case in XPD, you divide by number of terms minus 1.
Ex. If you're analyzing the height of ALL students in your grade level, then you divide by number of data values. If you analyze the height of a randomly selected, representative sample of students in your grade level, you divide by number of data values minus 1.
Alternatively, since you can calculate Standard Deviation on your Scientific/Graphing calculator. Plug data in Stat, and use 1var stats. Standard deviation is roundgreek symbol with line out.
Good luck
So be careful when explaining the significance of this particular stat
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Re: Experimental Design B/C
Apart from the usual mean, median, mode, standard deviation, and line of best fit, what are some other statistics that might come in handy at the competition(divison b)
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Re: Experimental Design B/C
I think they look for range (highest data valuelowest data value).awesome90220 wrote:Apart from the usual mean, median, mode, standard deviation, and line of best fit, what are some other statistics that might come in handy at the competition(divison b)
2014 (Wright State/Lisle/Grayslake/Regionals/State/Nationals)
Water Quality: 8/1/2/1/2/3
Experimental Design: 12/1/5/5/8/37
Road Scholar: 12/2/2/3/3/11
Wheeled Vehicle: 32/6/6/2/11/5
Water Quality: 8/1/2/1/2/3
Experimental Design: 12/1/5/5/8/37
Road Scholar: 12/2/2/3/3/11
Wheeled Vehicle: 32/6/6/2/11/5

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Re: Experimental Design B/C
Thanks! I will have to look through a couple times to make sure I've got it, but seems legit! :]actionpotential wrote:Hey Heavyhitter!
So I've always been confused by that big complicated expression myself. Standard deviation is basically measure of how spread out your data values are.
Analyzed step by step:
1. Take the mean of the data. (Symbol is x with bar over it)
2. For each data point, subtract mean from the data point. Then square this difference.
3. Add up the squares.
4. Divide this sum by number of terms minus 1. (Symbol of number of terms is n.)
5. Take square root.
For example:
Data set: 1, 3, 5, 7, 9
1. Mean = 5
2 and 3. (1 minus 5)^2 + (3 minus 5)^2 + ... = 40
4. 40 divided by (5 minus 1) = 8
5. Square root of 8 = 2.828
Standard Deviation = 2.828
Note:If your data includes possible data points for a population, then in step 4 you would instead divide by the number of terms. But if you're working with a sample of the data, which is probably the case in XPD, you divide by number of terms minus 1.
Ex. If you're analyzing the height of ALL students in your grade level, then you divide by number of data values. If you analyze the height of a randomly selected, representative sample of students in your grade level, you divide by number of data values minus 1.
Alternatively, since you can calculate Standard Deviation on your Scientific/Graphing calculator. Plug data in Stat, and use 1var stats. Standard deviation is roundgreek symbol with line out.
Good luck
2014 (Wright State/Lisle/Grayslake/Regionals/State/Nationals)
Water Quality: 8/1/2/1/2/3
Experimental Design: 12/1/5/5/8/37
Road Scholar: 12/2/2/3/3/11
Wheeled Vehicle: 32/6/6/2/11/5
Water Quality: 8/1/2/1/2/3
Experimental Design: 12/1/5/5/8/37
Road Scholar: 12/2/2/3/3/11
Wheeled Vehicle: 32/6/6/2/11/5
 Panda Weasley
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Re: Experimental Design B/C
Does anyone know if Division B people get bonus points for doing Standard Deviation? Also, does anyone have any pointers on how to get maximum points (and or bonus points)?
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 XJcwolfyX
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Re: Experimental Design B/C
Hi Panda! No, you do not receive extra credit or extra points for having Standard Deviation for Division B.
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