AP Statistics Module 1: Exploring Univariate Data

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Created by:

bacool  on June 30, 2010

Subjects:

ap statistics

Description:

Module 1

Classes:

AP Statistics 2012-2013

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AP Statistics Module 1: Exploring Univariate Data

statistics
the science of gaining information from numerical data
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English

statistics the science of gaining information from numerical data
population group of interest
sample subgroup of the population meant to represent the population
individuals objects being described by data set
variable characteristic of an individual
categorical/qualitative values are labels and categories
numerical/quantitative values are numerical
distribution of a variable tells what values the variable assumes and how often it takes these values
dotplot simple plot that allows one to visualize a relatively small data set. not convenient is data set is large.
histogram common distribution graph for one variable data. areas of bars represent percent. histogram shows distribution of values of a quantitative variable. choice of bin width changes how histogram looks
bar chart compares sizes of different items, used to display frequencies related to categorical variables
outlier observation that falls outside the overall pattern of a data set
distribution described by center, spread, shape, outliers
center described by mean, median, mode
spread smallest number to largest number. described by quartiles, range, interquartile range
shape symmetric, skewed to the right, skewed to the left
outliers anything more/less than 1.5XIQR
mean always follows tail in a skewed distribution. influenced by outlier.
stemplots effective for small data set, include a key, split stems split one category into multiple, back-to-back = two stemplots in one to compare
5 number summary min, q1, median, q3, max
modified boxplot shows outliers
median middle value of data set. not influenced by outliers
range largest value - smallest value. influenced by outliers.
IQR Q3-Q1. not influenced by outliers.
statistic number computed from a sample
parameter number computed from a population
standard deviation measure of spread, variance = stdev^2, 2 different st devs depending on population or sample. if s = 0, no spread so all observations are the same. use for symmetric data, not for skewed

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