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Statistics Midterm Review
review for for social statistics midterm
34
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Undergraduate 2
10/12/2012

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Term
What is the Interquartile Range (Q) ?
Definition
It's the difference between the 3rd and 1st quartile . So , Q3 - Q1 . It tries to give us a measure of the variability in the middle part of the data , and it improves on the range. Calculates the range of the middle fifty percent of the data.
Term
Q2 is the same as what ?
Definition
the median
Term
What eliminates high and low valued observations and calculates the range of the middle 50% of the data ?
Definition
The Interquartile Range ( Q ) .
Term
Only 25% of the observations are greater than .. ?
Definition
the Third Quartile.
Term
What formula do you use to locate the position of the first quartile in terms of the data set ?
Definition
.25n ..then whatever number you get , use that number to count to the spot of the first quartile.
Term
What formula do you use to locate the position of the third quartile in terms of the data set ?
Definition
.75n ... then the number you get from that , use that to count to get the number for Q3.
Term
What are the steps for finding the Interquartile Range ?
Definition
1. order the scores from lowest to highest .
2. Find Q1 ( locate it using .25n )
3. Find Q3 ( locate it using .75n )
4. Then subract Q3 - Q1 :)
Term
What does the Big Q stand for , and what does big R stand for?
Definition
Big Q stands for Interquartile Range , and the Big R stands for Range .
Term
Half of the data always falls between .. ?
Definition
Q1 and Q3.
Term
What is DEVIATION ?
Definition
the distance of any given raw score from its mean .
Term
How do you find DEVIATION ?
Definition
Just subtract the mean from any raw score . Sooo.. ( X- mean )
Term
The variable X with a bar ( __ ) above it stands for what ?
Definition
the mean
Term
The sum of actual deviations E ( x - mean ) is always what ??
Definition
zero
Term
How do we overcome the problem of the sum of the actual deviations always being zero ?
Definition
We just square the actual deviations from the mean and then add them all together . So , E ( x- mean ) ^2 ...which is the sum of the squared deviations from the mean .
Term
what is VARIANCE ?
Definition
the mean of the squared deviations.
Term
The variable s^2 stands for what ?
Definition
variance
Term
When dealing with variance/standardDeviation , to return to our original unit of measure , we do what ?
Definition
Just take the square root of the variance , and it gives us the standard deviation .
Term
What is the formula for the sum of the squared deviations from the mean ?
Definition
E ( X- mean ) ^2
Term
The variable big N stands for what ?
Definition
the total number of scores .
Term
So , the sum of the squared deviations from the mean divided by big N will give you what varuiable , and what does that variable stand for ?
Definition
It'll give you s^2 , and that gives you the variance, because s^2 stands for variance.
Term
A big E in front of anything just means to .. ?
Definition
The sum of all of those types of things. Like if you had a big E in froont of (a+b) , that would mean the sum of all your (a+b)'s .
Term
The variable little "s" stands for what ?
Definition
standard deviation
Term
What do we use the standard deviatiov for ?
Definition
to put the variance in the right perspective , because the variance has the numbers or whatever squared .
Term
So how do we calculate the standard deviation ?
Definition
Just taking the square root of the variance formula ! Basically undoing the square. And the variance formula is just the sum of the deviations squared divided by big N.
Term
Why is the standard deviation more interpretable than the variance ?
Definition
Because the standard deviation is in the correct unit of measurement.
Term
The greater the variability around the mean of a distribution ...then , ?
Definition
the larger the standard deviation .
Term
So s=4.5 and s= 2.5 indicates what ??
Definition
That s=4.5 has greater variability than s = 2.5 .
Term
In terms of variability , a narrow bell-shaped curve means what ?
Definition
That it has scores clustered around the mean .
Term
In terms of variability , a wider bell-shaped curve means what ?
Definition
It has a greater spread around the mean .
Term
Although two sets of data can have the same mean , they can still have different ...?
Definition
different variation .
Term
s it possible for two sets of data to have the same mean , but different variation ?
Definition
Because variation is dependent upon the spread of the data values from the mean , so yeah they may have the same mean , but different bell shaped curves depending on how far/close their values are from the mean .
Term
The dotted line up the middle of a graph usually represents the what ??
Definition
Mean
Term
Anytime a formula name has sample in front of it , you know that you are dealing with little what ?
Definition
Little n
Term
Population always call for big ___ , and sample always calls for little __ ?
Definition
Population calls for big N , and sample calls for little N .
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