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frequency table

relative frequency table

pictograph

circle graphs

shows how frequently each unique value appears in the set

shows the proportions of each unique value compared to the en…

graph, generally in the hoorizontal orientation, thta uses pi…

also known as pie charts, provide a visual depiction of the r…

frequency table

shows how frequently each unique value appears in the set

relative frequency table

shows the proportions of each unique value compared to the en…

Probability

Outcome

Event

Independent Event

is the measure of how likely an event is (where 0 indicates i…

is the result of a single trial of an experiment.

is one or more outcomes of an experiment

Two events, A and B, are independent if the fact that A occur…

Probability

is the measure of how likely an event is (where 0 indicates i…

Outcome

is the result of a single trial of an experiment.

Mean

Mode

Median

Range

the average of a group of numbers

The number that occurs most often in a set of data

The middle number in a set of numbers that are listed in order

the greatest number minus the least number

Mean

the average of a group of numbers

Mode

The number that occurs most often in a set of data

Outcome

Probability

Random

Complementary event

Any one of the **possible results** of an action.

The **likelihood** that a particular event will occur

Outcomes occur at random if each outcome is equally likely to…

The events of **one outcome happening** and that *outcome not h…

Outcome

Any one of the **possible results** of an action.

Probability

The **likelihood** that a particular event will occur

Box-and-Whisker Plot

Outlier

Quartile

Bar Graph

shows the distribution of data. The middle... half of the data i…

a number in a set of data that is much larger or much smaller…

1) Division of data into 4 equal parts

A graph that uses horizontal or vertical bars to display data

Box-and-Whisker Plot

shows the distribution of data. The middle... half of the data i…

Outlier

a number in a set of data that is much larger or much smaller…

Statistics ?

Variables?

What is Descriptive Statistics ?

What is Inferential Statistics?

Study of how to collect, organize, analyze, and interpret

Characteristics of the person or object being measured or obs…

Consists of the collection organization summarization and pre…

Uses probability (the chance of something occurring) to deter…

Statistics ?

Study of how to collect, organize, analyze, and interpret

Variables?

Characteristics of the person or object being measured or obs…

Frequency distribution

Event

Population

Mean

Given 2, 3, 1, 2, 1, 3, 2, 3, 4, 5, 4, 2, 2, 3: 1 happens 2 t…

is an outcome or a collection of outcomes... Examples:Rolling a…

The whole group from which a sample is taken; an entire group…

The mean is the average of the numbers: a calculated "central…

Frequency distribution

Given 2, 3, 1, 2, 1, 3, 2, 3, 4, 5, 4, 2, 2, 3: 1 happens 2 t…

Event

is an outcome or a collection of outcomes... Examples:Rolling a…

Theoretical Probability

Experimental Probability

Law of Large Numbers

Fundamental Counting Principle

the expected... probability and can be found with a formula.

determined by carrying out a simulation or an... experiment.

In experimental probability, as the number of trials... increase…

a computational procedure to determine the number of... possible…

Theoretical Probability

the expected... probability and can be found with a formula.

Experimental Probability

determined by carrying out a simulation or an... experiment.

outcome

event

sample space

probability

the possible result of a situation or experiment

a single outcome or a group of outcomes

the set of all possible outcomes

the numerical value from 0 to 1 that measures the likelihood…

outcome

the possible result of a situation or experiment

event

a single outcome or a group of outcomes

Frequency distribution

Event

Population

Mean

Given 2, 3, 1, 2, 1, 3, 2, 3, 4, 5, 4, 2, 2, 3: 1 happens 2 t…

Rolling a die, flipping a coin, drawing a marble from a bag,…

The whole group from which a sample is taken; an entire group…

The mean is the average of the numbers: a calculated "central…

Frequency distribution

Given 2, 3, 1, 2, 1, 3, 2, 3, 4, 5, 4, 2, 2, 3: 1 happens 2 t…

Event

Rolling a die, flipping a coin, drawing a marble from a bag,…

randomness

Apophenia

Gambler´s fallacy

Law of large numbers

Random is not just a property of that phenomenom, but very mu…

We see all sorts of patterns in what is really ramdom data. W…

the false idea that a ramdom phenomenom can be predicted from…

randomness changes from something which is variable and unpre…

randomness

Random is not just a property of that phenomenom, but very mu…

Apophenia

We see all sorts of patterns in what is really ramdom data. W…

Practical Significance

Statistical Significance

Parameter

Statistic

State practical significance/implications of the results

When results achieved are very unlikely to occur by chance

Numerical measurement describing some characteristic of a pop…

Numerical measurement describing a sample

Practical Significance

State practical significance/implications of the results

Statistical Significance

When results achieved are very unlikely to occur by chance

outcome

event

sample space

probability

the possible result of a situation or experiment

a single outcome or a group of outcomes

the set of all possible outcomes

the numerical value from 0 to 1 that measures the likelihood…

outcome

the possible result of a situation or experiment

event

a single outcome or a group of outcomes

Median

Mode

Arithmetic Mean

Central Tendency

The 'median' is the 'middle' value in a list of odd numbered…

The 'mode' of a set of data is the value in the set that occu…

The Arithmetic Mean is found by taking the sum of the data, a…

The center or middle of a distribution. There are many measur…

Median

The 'median' is the 'middle' value in a list of odd numbered…

Mode

The 'mode' of a set of data is the value in the set that occu…

Probability

Event

Compound Events

Outcome

is the chance that an event will occur or happen--likelihood

is a specific outcome or result

are two or more events happening one after the other

is one possible result of a probability event

Probability

is the chance that an event will occur or happen--likelihood

Event

is a specific outcome or result

Mean

Mode

Median

Range

the average of a group of numbers

The number that occurs most often in a set of data

The middle number in a set of numbers that are listed in order

the greatest number minus the least number

Mean

the average of a group of numbers

Mode

The number that occurs most often in a set of data

Mean

Mode

Median

Range

the average of a group of numbers

The number that occurs most often in a set of data

The middle number in a set of numbers that are listed in order

the greatest number minus the least number

Mean

the average of a group of numbers

Mode

The number that occurs most often in a set of data

Referring to skewness of distributions…

Skewed right plus an outlier on the ri…

Standard Deviation

IQR or Inter Quartile Range

...where the tail is.

Right

a quantity calculated to indicate the extent of deviation for…

Extending from Q1 to median to Q3.

Referring to skewness of distributions…

...where the tail is.

Skewed right plus an outlier on the ri…

Right

population

random sample

statistics

survey

the set that is used for sampling - where we get the informat…

there is an equal chance of each thing within the population…

a branch of mathematics dealing with the collection, analysis…

to gather information by individual samples so as to learn ab…

population

the set that is used for sampling - where we get the informat…

random sample

there is an equal chance of each thing within the population…

box and whisker plot

data distrubution

deviation

graph

a diagram that summarizes data using the median, the upper an…

the arrangement of values that show the spread of a data set

the average distance of each data value from the mean

a diagram representing a system of connections or interrelati…

box and whisker plot

a diagram that summarizes data using the median, the upper an…

data distrubution

the arrangement of values that show the spread of a data set

mean (average)

first quartile

interquartile range

mean absolute deviation

sum of numbers in a set of data divided by the number of piec…

the median of the data values less than the median of the tot…

distance between the first and third quartiles of a data set

mean (average)

sum of numbers in a set of data divided by the number of piec…

first quartile

the median of the data values less than the median of the tot…

Mean

Median

Measures of Center

Mean absolute deviation ( MAD)

The mean (or average) of a set of data is the sum of all of t…

The median of a data set is the number that is the middle val…

Mean, median and mode are the measures of center. A single sc…

The average absolute deviation (or mean absolute deviation) o…

Mean

The mean (or average) of a set of data is the sum of all of t…

Median

The median of a data set is the number that is the middle val…

Box & Whisker Plot

Line Plot

Histogram

Mean (average)

a graph that shows the least and greatest values, lower (firs…

a bar graph that shows the frequency of data within equal int…

is equal to the sum of the terms in a data set divided by the…

Box & Whisker Plot

a graph that shows the least and greatest values, lower (firs…

Line Plot

Biased Sample

Interquartile Range (IQR)

Lower Quartile

Mean

a sample in which some members of the population have a great…

the difference between the first and third quartiles in a dat…

the median of the lower half of a set of data ordered from le…

the sum of the terms in a data set divided by the number of t…

Biased Sample

a sample in which some members of the population have a great…

Interquartile Range (IQR)

the difference between the first and third quartiles in a dat…

Mean

Mode

Median

Range

the average of a group of numbers

The number that occurs most often in a set of data

The middle number in a set of numbers that are listed in order

the greatest number minus the least number

Mean

the average of a group of numbers

Mode

The number that occurs most often in a set of data

Mean

Median

Mode

Mean is most useful when

The sum of the data divided by the number of items in the dat…

Middle number of the data ordered from least to greatest, or…

Number or numbers that occur most often.

the data has NO extreme values (outliers).

Mean

The sum of the data divided by the number of items in the dat…

Median

Middle number of the data ordered from least to greatest, or…

statistical question

dot plot

range

measure of variation

A question that requires collecting and analyzing data values…

Also known as a line plot. A diagram showing frequency data o…

the difference between the greatest number and the least numb…

A measure, such as the range, IQR, or MAD, that describes how…

statistical question

A question that requires collecting and analyzing data values…

dot plot

Also known as a line plot. A diagram showing frequency data o…

outcome

event

sample space

probability

the possible result of a situation or experiment

a single outcome or a group of outcomes

the set of all possible outcomes

the numerical value from 0 to 1 that measures the likelihood…

outcome

the possible result of a situation or experiment

event

a single outcome or a group of outcomes

Frequency distribution

Event

Population

Mean

Given 2, 3, 1, 2, 1, 3, 2, 3, 4, 5, 4, 2, 2, 3: 1 happens 2 t…

Rolling a die, flipping a coin, drawing a marble from a bag,…

The whole group from which a sample is taken; an entire group…

The mean is the average of the numbers: a calculated "central…

Frequency distribution

Given 2, 3, 1, 2, 1, 3, 2, 3, 4, 5, 4, 2, 2, 3: 1 happens 2 t…

Event

Rolling a die, flipping a coin, drawing a marble from a bag,…

Probability

Counting Principle

Tree Diagram

Measures of Central Tendency

A measure of the likelihood that an event will occur.

If one event can happen M ways and another event can happen N…

A diagram that shows all of the possible arrangements of obje…

A single number that can represent a set of numbers. The mean…

Probability

A measure of the likelihood that an event will occur.

Counting Principle

If one event can happen M ways and another event can happen N…

Random

Probability

sample space "S"

event "X"

individual outcomes are uncertain but there is nonetheless a…

Any outcome oa a random phenomenon is the proportion of times…

random phenomenon is the set of all possible outcomes

an outcome or a set of outcomes of arandom phenonmenon. That…

Random

individual outcomes are uncertain but there is nonetheless a…

Probability

Any outcome oa a random phenomenon is the proportion of times…

probability

probability experiment

outcome

sample space

the likelihood that an event will occur

an action, or trial, through which specific results (counts,…

the result of a single trail in a probability experiment

the set of all possible outcomes of a probability experiment

probability

the likelihood that an event will occur

probability experiment

an action, or trial, through which specific results (counts,…

Experiment

Outcomes

Event

Favorable Outcomes

An investigation or procedure that has varying results.

The possible results of an experiment.

A collection of one or more outcomes.

The outcomes of a specific event.

Experiment

An investigation or procedure that has varying results.

Outcomes

The possible results of an experiment.

Respondents

Experimental units

Subjects/Participants

Units

individuals who answer a survey

plants, animals, or inanimate objects in an experiment

people in an experiment

A quantity or amount adopted as a standard of measure

Respondents

individuals who answer a survey

Experimental units

plants, animals, or inanimate objects in an experiment

Fundamental Counting Principle

Permutation (order matters)

Combination (order doesn't matter)

Probability

If an event can occur in m different ways and another event c…

Permutations of n objects, taking r at a time, is denoted nPr…

Combinations of n objects, taking r at a time, is denoted nCr…

The probability of an event, or P(e), is calculated by... P(e) =…

Fundamental Counting Principle

If an event can occur in m different ways and another event c…

Permutation (order matters)

Permutations of n objects, taking r at a time, is denoted nPr…

Bivariate Data

Scatter Plot

Line of Best Fit

Cluster

Data for two variables (usually two types of related data).

A graph of plotted points that show the relationship between…

A line on a graph showing the general direction that a group…

When data seems to be "gathered" around a particular line.

Bivariate Data

Data for two variables (usually two types of related data).

Scatter Plot

A graph of plotted points that show the relationship between…

Alpha

Alternate Hypothesis

Analysis of variance

Beta

committing a Type I error

Denoted by H(a), is the assertion that is contradictory to H(…

refers broadly to a collection of experimental situations and…

a Type II error

Alpha

committing a Type I error

Alternate Hypothesis

Denoted by H(a), is the assertion that is contradictory to H(…

outcome

sample space

event

uniform probability model

result of an experiment

the set of all of the possible outcomes of an experiment

an outcome or set of outcomes in a sample space

the probabilities for each outcome are equal

outcome

result of an experiment

sample space

the set of all of the possible outcomes of an experiment

Discrete Distribution

Continuous Distribution

Discrete Notation

Continuous Notation

Describes a variable that can only take on discrete values, t…

Describes a variable that can take on any real number value o…

Discrete Distribution

Describes a variable that can only take on discrete values, t…

Continuous Distribution

Describes a variable that can take on any real number value o…

Probability

Outcome

Sample Space

Experimental Probability

The likelihood of something (an event) happening.

The result of one trial.

The set or list of all outcomes.

The probability that an outcome will occur determined through…

Probability

The likelihood of something (an event) happening.

Outcome

The result of one trial.

Probability

Experimental Probability

Event

Outcome

BLANK is the chance or likelihood that an event occurs. The p…

BLANK is based on observation. It is the actual number of occ…

BLANK is one or more outcome resulting from some experiment.…

In probability, the BLANK means the possible result. All of t…

Probability

BLANK is the chance or likelihood that an event occurs. The p…

Experimental Probability

BLANK is based on observation. It is the actual number of occ…

Population

Sample

Statistics

Census

the entire pool from which a statistical sample is drawn

A sample is a subset of people, items, or events from a large…

the practice or science of collecting and analyzing numerical…

an official count or survey of a population, typically record…

Population

the entire pool from which a statistical sample is drawn

Sample

A sample is a subset of people, items, or events from a large…

Bivariate Data

Box Plot

Categorical Data

Certain Event

data in two variables, one to be graphed on the x-axis and th…

a visual graphical display to show the median, quartiles, and…

data that can be sorted in groups or categories such as hair…

event with a probability of 1 on a scale from 0 to 1

Bivariate Data

data in two variables, one to be graphed on the x-axis and th…

Box Plot

a visual graphical display to show the median, quartiles, and…