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Statistics Statistics is a collection of methods for:
Planning experiments and surveys Obtaining data Organizing, summarizing, presenting, analyzing, interpreting, and drawing conclusions based on data (observations that have been collected)
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Population/Sample Population: the group to be studied
Sample: a subgroup of the population In a census, we collect data from the entire population In a sample, we collect data from the sample (usually to try to draw conclusions about the population)
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What’s the population & sample?
A congressperson reads 350 letters from her constituents about gun control A pollster asks 30 adults at the mall about their shopping preferences Fox News does a poll, and reports the opinions of the 2500 people who called in. Researchers test out a new cancer drug on 100 men with prostate cancer.
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Parameters and Statistics
A parameter is a numerical measurement describing some characteristic of a population A statistic is a numerical measurement describing some characteristic of a sample
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Parameter or Statistic?
Of the 350 letters read, 250 wanted more restriction on gun sales Of the 30 people questioned, 20 were shopping for themselves Americans spend $23 billion shopping online this holiday season. In the last election, 82% of registered voters voted in Washington
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Qualitative/Quantitative
Qualitative Data is data that only has qualities (categories or names), but no numbers Examples: Eye color, Yes/No, type of car Quantitative Data is data that is a numerical quantity (a number, usually with units) Examples: Height, weight, hours slept
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Discrete and Continuous Data
Discrete Data comes from a finite or countable set of possibilities. Example: How many kids do you have? Possible answers are 0,1,2,…, but not 1.3 Continuous Data comes from an infinite set of possibilities Example: Your car speedometer reading. It is possible to be going 20mph, 20.5mph, 20.01mph, etc.
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Levels of Measurement Nominal – all we have is names
Ordinal – we can also order Interval – also, differences are meaningful Ratio – also, ratios are meaningful
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What’s the level of measurement?
Salaries of corporate executives Your “now serving” number at the DMV People’s area codes Record time for 100m dash People’s birth state Daily low temperatures Birth years
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Homework 1-2 1.2: 1, 3, 5, 9, 11, 13, 15, 17
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