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14 Cards in this Set
- Front
- Back
Stem and leaf display
Steps 1. 2. 3. no more |
1. determine units
2. how many lines (10 leaf values 1,2,5,10) (100 leaf values 1,2,4,5,10) 3. no more than 20 lines 3. |
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Histograms
Steps 1. 2. 3. 4. always .. 5. remember no class 6. relative histogram is ? |
1. range length (max-min)
2. # of classes 5-20 3. class width (range length\ classes) 4. always round up 5. remember no class except for last class may end with last value 6. frequency/ En (add all f) |
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Measure of Center
1. 2. 3. 4. median rank formula 5. m < x(mean) ? |
1. mean
2. median 3. mode 4. n+1 /2 5. right scewed |
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if no doubles for mode means?
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all numbers are mode
1,2,3,4,.. |
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Measures of Spread
Definition standard deviation formula |
s= (sqare root) E(xi-mean)^2
/ n-1 |
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E(xi-mean)^2 1.<means?
/ n-1 which standard deviation? |
add up the xi-mean^2 then divide by n-1
definition |
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Short cut formula?
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s= (sqare root)
Exi^2 - n(mean)^2 / n-1 |
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Chebychevs theorm
1. applies to? 2. K=1 formula %? 3. K=2 formula %? 4. K=3 formula %? |
1. all datasets
2. mean -/+ s at least 0% 3. mean -/+ s2 at least 75% 4. mean -/+ s3 at least 88.9% |
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how do u get actual percentage
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values / n (100)
count how many values btwn the set ( 1, 5) then divide by n times by 100 |
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Emperical rule
1. can only use if? 2. K=1 % 3. K= 2 % 4. K= 3 % |
1. data set is mound/bell shape
2. K=1 68% 3. K=2 95% 4. K= 3 99.7% |
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if you have no dataset just
mean and s to use chebychevs theorem or emperical rule (if mound shape) 1. formula |
1. K= range/ s
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Z score
1. z score formula 2. what 2 things will you need to say and how |
1. z= X. - mean / s
number given - mean / divide by s 2. interpretation= value of X lies X standard deviations to the X (right/ left) of the mean comment= this zscore is in/not in, the expected range of (-2,2) |
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Quartiles
1. formula for Q1 (rank&actual) 2. formula for Q3 3. median formula 4. IQR formula |
1. Q1= .25(n+1) rank
Q1= small value + .??(big value - small value) 2. Q3= .75(n+1) rank Q3= small vlue + .??(big-small value) 3. m rank= n+1/ 2 |
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Box plot
1. step 1 2. 3. fences LIF FORMULA RIF FORMULA LOF FORMULA ROF FORMULA 4. 5. |
1. get hinges (Q1&Q3)
2. get IQR 3. LIF= LH-1.5(IQR) RIF= RH+1.5(IQR) LOF= LF-3(IQR) ROF= RF+3(IQR) 4. adjacent values 5. outliers |