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| any characteristic that can vary |
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| median or first value and 2nd quartile(median) |
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difference between he greatest number and the least number. G-L |
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| the difference between the third and first quartile |
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| standard deviation equation |
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| the process of subtracting the mean from each value and then dividing the result by the standard deviation |
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| in any group of data, most of the data are within how many standard deviations from the mean? |
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order matters repeats matter |
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repeats are not counted order does not matter. it simply contains information |
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| intersection of sets S & T |
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| all elements that are in both S & T |
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| all elements that are in sets S or T or both |
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| if sets S & T have no elements in common they are... |
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| disjoint, or mutually exclusive |
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| inclusion-exclusion principal |
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| the number of elements in the union of two sets equals the sum of their individual numbers o elements minus the number of elements in their intersection |
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| 2 choices made sequentially, and the second choice is independent of the first choice. There are k different possibilities for the first choice, and m different possibilities for the second choice. how many different possibilities are there for pair of choices |
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| 3 letter combination, how many possibilities for the combinations? |
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| How many ways to list 3 letters? |
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| number of ways in which you could select 3 of 5 letters, order matters |
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| 5!/(5-3)! = 5!/2! = (5)(4)(3) |
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| permutations of N objects taken K at a time |
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| number of ways element can be combined without order mattering = number of ways to select with order mattering/number of ways to order |
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| cominations of N objects taken K at a time |
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| N!/K!(N-K)!, order does not matter |
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| how many combinations of 5 objects taken 3 at a time |
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| [5!/(5-3)!]/3! = 5!/2!/3! = 5!/2!3! = (5)(4)(3)/6 |
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| probability that E or F or both(intersection) will happen |
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P(E) + P(F) - (P both) note, if there is no intersection, probability that ONE o the two will happen is just the sum of their probabilities |
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| If two events E&F are independent o one another, the probability that that BOTH will occur |
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| likelihood that two dice rolls will produce a 5 and a 6 |
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| the sum of the probabilities in a set = |
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| in a frequency distribution, Sum of the areas of of the bars to the left of the MEDIAN vs to the right |
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| Mean takes into account the actual value of the data, vs just the area of it. T/F |
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| The area of the distribution to the right and left of the mean are always equal, T/F |
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| 4 rules for an approximately normally distributed data |
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1. The mean, median, and mode are all nearly equal 2. The data are grouped fairly symmetrical about the mean 3. about 2/3 of the data are within 1 standard deviation from the mean 4. almost all of the data are within 2 standard deviations from the mean |
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| standard normal distribution |
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| normal distribution with a mean of 0. Achieved by standardization. |
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| probability of at least 1 of 2 independent events happening |
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since there is intersection, i.e. there is some chance that BOTH can happen, this is a P(a or b) P(aorb) = P(a) + P(b) - P(a)P(b) |
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