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Statistics Collecting and analyzing large amounts of numerical data
How to collect, summarize and present data
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Population The group of interest
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Sample A smaller group taken from the population
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Sample Size The number of people or items you are sampling
Our Sample Size is 4, because we have 4 people
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Sample Space The set of all possible outcomes
If I asked people to choose their favorite color from this rainbow, the sample space would be: red, orange, yellow, green, blue, purple, pink. (7 possible colors to choose from)
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Random Sample A way of sampling that members of the population have an equal chance of being selected for the sample
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Convenience Sample A way of sampling that the subjects take from a group that is conveniently accessible to the surveyor
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Biased Sample A way of sampling that some members of the population have a greater chance of being selected than other members First 10 people into a room or the people who stay after school
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Generalizations Making general statements that assumes to represent the population All middle school students are athletically active after school
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Inference Conclusions drawn based on the data of the population
SCMS students love pizza day in the cafeteria
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Survey A question or set of questions used to gather data
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Measures of Central Tendency
Helps to describe or interpret the “average item” of the data set- mean, median, and mode
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Mode The term or terms that appear most often in a data set
49,52,63,48,17,52,33,64,52,52,85,74 52 is the mode
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Median Middle term in a set ordered from least to greatest
17,21,24,29,32,37,35,36,38 32 is the median
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Mean Equal to the sum of the terms in a data set divided by the number of terms in the data set Data Set: 16,19,23,25,29,49 Sum: =161 161/6= Mean is 26.83
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Mean Absolute Deviation
The average of the absolute deviations from the mean
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Lower Extreme Lowest Value Data Set: 16,19,23,25,29,49
Lower Extreme is 16
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Upper Extreme Highest Value Data Set: 16,19,23,25,29,49
Upper Extreme is 49
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Range The difference between the greatest value in the data set and the least value Data Set: 16,19,23,25,29,49 49-16=33
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Lower Quartile/1st Quartile
The median of the lower half of the data values Data Set: 16,19,23,25,29,49 Median: 23+25=48/2=24 Lower Quartile=19
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Upper Quartile/3rd Quartile
The median of the upper half of the data values Data Set: 16,19,23,25,29,49 Median: 23+25=48/2=24 Upper Quartile:29
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Interquartile Range The difference between the third quartile and the first quartile 29-19=10
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Box-and-Whisker Plot A method of visually displaying a distribution of data values by using the median, quartiles and extremes.
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Variation Shows how spread out or close together a data set are, or how much the data points vary
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Outliers Do not follow the general pattern of the data; either too high or too low 45,48,52,58,59,62,65,149 149 is Outlier
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