Summer Vocab Flashcards
individuals
the objects described by a set of data; may be people, animals, or things
variable
any characteristic of an individual; can take different values for different individuals
categorical variable
places an individual into one of several groups or categories
quantitative variable
takes numerical values for which it makes sense to find an average
distribution
the distribution of a variable tells us what values the variable takes and how often it takes these values
marginal distribution
the marginal distribution of one of the categorical variables in a two-way table of counts is the distribution of values of that variable among all individuals described by the table
conditional distribution
a conditional distribution of a variable describes the values of that variable among individuals who have a specific value of another variable. there is a separate conditional distribution for each value of the other variable
association
there is an association between two variables if knowing the value of one variable helps predict the value of the other
outlier
an individual value that falls outside the overall pattern
mode
the most common value
center
the midpoint of a graph
symmetric
distribution is symmetric if the right and left sides of graph are approximately mirror images
skewed right
distribution is skewed right if the right side of the graph is much longer than the left side
skewed left
if the left side of the graph is much longer than the right side
unimodal
a graph with a single peak
bimodal
graph has two clear peaks
multimodal
graph with more than two clear peaks
mean
the average of the values in a data set
median
the midpoint of a distribution; half the observations are smaller and half are larger
interquartile range
measure the range of the middle 50% of the data
five-number summary
consists of the minimum, first quartile, median, third quartile, and maximum
standard deviation
measures the typical distance of the values in a distribution from the mean
bar graph
graph used to display the distribution of a categorical variable or to compare the sizes of different quantities
boxplot
graph of the 5 number summary
census
study that attempts to collect data from every individual in the population
back-to-back stemplot
plot used to compare the distribution of a quantitative variable for two groups
dotplot
simple graph that shows each data value as a dot above its location on a number line
frequency table
table that displays the count of observations in each category or class
histogram
graph that displays the distribution of a quantitative variable
inference
drawing conclusions that go beyond the data at hand
pie chart
chart that shows the distribution of a categorical variable as a “pie” whose slices are sized by the counts or percents for the categories
population
in a statistical study, the entire group of individuals we want information about
range
the maximum value minus the minimum value for a set of quantitative data
relative frequency table
table that shows the percents (relative frequencies) of observations in each category or class
roundoff error
difference between the calculated approximation of a number and its exact mathematical value
sample
subset of individuals in the population from which we actually collected data
segmented bar graph
graph used to compare the distribution of a categorical variable in each of several groups.
side-by-side bar graph
graph used to compare the distribution of a categorical variable in each of several groups
splitting stems
method for spreading out a stemplot that has too few stems
stemplot
simple graphical display for fairly small data sets that gives a quick picture of the shape of a distribution while including the actual numerical values in the graph
two-way table
table of counts that organizes data about two categorical variables
continuous variable
if a variable can take on any value between its minimum value and its maximum value, its called a continuous variable
bivariate data
a study that examines the relationship between two variables; we are working with bivariate data
univariate data
when we conduct a study that looks only at one variable, we are working with univariate data
discrete variable
if a variable does not take place within a maximum and minimum; 0 and infinity
variance
numerical value used to indicate how widely individuals in a group vary
simpson’s paradox
phenomenon in probability and statistics, in which a trend appears in several different groups of data but disappears or reverses when these groups are combined
shape
describes the type of graph; symmetric, skewed, etc.
spread
range of the data on a graph