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# A Year In Review

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FC: A YEAR IN REVIEW | Denise Whitehead Math 140 2011

1: The Truth Table | And: 2T=T Or: 2F=F If then: TF=F If and only if: 2T=T or 2F=T The p and q table: p=TTFF q=TFTF not p=FFTT not q=FTFT

2: Statistic Skeleton Step 1: Order the data from least to greatest Step 2: High=H the highest data item Low=L the lowest data item Step 3: Range R=H-L Step 4: Number of Classes-given Step 5: Width= R divided by number classes (round to the nest whole# if a decimal) Step 6: Mean = Average (round to the nearest tenth) Step 7: Median= Middle number or numbers Step 8: Mode= The number that occurs most often. (might be none or more than one) Step 9: Midrange = (H+L)/2 Step 10: Classes write the 1st data item, add the width to get next number, add the width until the you reach the number of classes, Subtract 1 from 2nd number on left to get 1st number on right add the width. Step 11: Frequency: count the numbers within each class, total at the bottom. Step 12: Cumulative frequency: copy 1st frequency number, add the 1st frequency to the 2nd to get the 2nd cumulative frequency, continue this process until you reach the number of data items.

3: Step 13 Standard Deviation Data (Data-Mean) (Data-Mean) First column list data in order Second column subtract mean from data Third column data minus mean squared Standard deviation is the square root of the third column total divided by total data items minus one

4: Magic Square 2,4,6,8,10,12,14,16, and 18 sum is 30 | 12 | 14 | 4 | 2 | 10 | 18 | 16 | 6 | 8 | Middle is the middle # =10 Right hand 1st and last=2 & 18 Diagonal next 2 last=4 & 16, then 8 & 12

5: Metric System km-1000 hm-100 up move decimal to left dkm-10 m,l,g-1 base unit dm-.1 cm-.01 down move decimal to right mm-.001 to change m to mm- move decimal to right 3 places: 4.2m=4200mm to change cm to hm- move decimal to the left 4 places: 300cm=0.0300hm

6: Vocabulary Statistic is the art and science of gathering, analyzing, and making inferences (predictions) from numerical information, data, obtained in an experiment. Data is the numerical information obtained in an experiment. Descriptive statistics is concerned with the collection, organization, and analysis of data. Inferential statistics is concerned with making generalization or predictions from the data collected. Population consists all items or people of interest. Sample is a subset of the population, used to make predictions concerning the population.

7: Vocabulary Random sampling occurs if a sample is drawn in such a way that each time an item is selected, each item has an equal chance of being drawn. Systematic sample is obtained by drawing every nth item on a list or production line. Cluster sample is sometimes referred to as an area sample because it is frequently applied on a geographical basis. Stratified sampling involves dividing the population by characteristics called stratifying factors such as gender,race religion, or income. Convenience sampling uses data that are easily or readily obtained, and can be extremely biased.

8: Venn Diagram | U A B | U= All elements A= star, oval, triangle B= triangle, heart Union is all of A and B Intersect is where A and B meet: triangle

9: Proper Subsets {L,O,V,E} {} {L} {O} {V} {E} {L,O} {L,V} {L,E} {O,V} {O,E} {V,E} {L,O,V} {L,O,E} {L,V,E} {O,V,E} | Set of 4 elements that has 16 distinct subsets and 15 proper subsets

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