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Notes 13-1 Basic Statistics
WARM-UP Answer the following survey questions Do you have a study hall? How many states have you visited? How many people live in your home? Do you have internet access at home? How many hours of TV do you watch in a week?
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I. Terms: Statistics – branch of mathematics dealing with the collection, organization, analysis, and interpretation of information Variable – characteristic of a person or thing which can be classified, counted, ordered or measured C. Population – set of all individuals or objects you want to study D. Sample – part of population actually studied
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I. Terms: Data Qualitative: can be divided into categories
Bar graph, pie graphs, frequency tables Quantitative: numerical Discrete Continuous Describe shape, center and spread Stem plot, box plot, histogram
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II. Graphs for Qualitative data:
Bar Graphs Used to compare Equal intervals and equal widths Circle Graphs Used to show parts of whole Best when data consisting of a sum and component parts Must calculate measure of central angle corresponding to part of sum .
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II. Graphs for Quantitative Data
Stem plots Used to describe small data sets Must have a key Histogram Used for larger set of data to see distribution Continuous bars with equal intervals Box Plot Divides data into 4 quartiles Used to show center & spread of data
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III. Distribution Shape
Symmetric: Right and left sides of the distribution have frequencies that are mirror images of each other. Uniform: All data values are approximately the same frequency
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III. Distribution Shape
Skewed left: Left side of the distribution has much lower frequencies than the right. Skewed right: Right side of the distribution has much lower frequencies than the left
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IV. Examples: Identify the data as either qualitative or quantitative.
Number of questions answered correctly on a true-false test. Weight of each animal in a zoo Person’s blood type
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IV. Examples: A class of 25 students took a math test. Of these, 4 earned A’s, 11 earned B’s, 7 earned C’s, and 3 earned D’s. Create a table with frequencies and relative frequencies for each grade
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IV. Examples From the four Common Distribution Shapes, choose the best distribution for the data. Ages of people in an elementary school Age at death for all people in the United States IQ scores of all men in United States
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