# Study sets matching "statistics chapter 3"

Study sets

Diagrams

Classes

Users

Sample Standard Deviation

Measures of center

mean

mode

preferred measure of variation when the mean is used as the me…

value at the center or middle of the data set

adding all of the values and dividing the total by the number…

most frequently occurring value... no modes if no repeating numbe…

Sample Standard Deviation

preferred measure of variation when the mean is used as the me…

Measures of center

value at the center or middle of the data set

Arithmetic Mean

Population Arithmetic Mean

Sample Arithmetic Mean

Mean

Computed by adding all the values of the variable in the data…

Computed using all the individuals in a population (a paramete…

Computed using sample data (a statistic)

The arithmetic mean

Arithmetic Mean

Computed by adding all the values of the variable in the data…

Population Arithmetic Mean

Computed using all the individuals in a population (a paramete…

Response Variable

Explanatory Variable

scatterplot

Interpreting scatterplots

measure the outcome of a study. This variable responds to the…

may help explain or influence changes in a response variable.…

shows the relationship between two quantitative variables meas…

1) the direction ... 2) the form ... 3) the strength of the relation…

Response Variable

measure the outcome of a study. This variable responds to the…

Explanatory Variable

may help explain or influence changes in a response variable.…

distribution

pie chart

marginal distribution

independent

The possible values of the variable and/or the relative freque…

Show how a "whole" divides into categories by showing a wedge…

The distribution of either variable alone from a contingency t…

Variables are considered this if the conditional distribution…

distribution

The possible values of the variable and/or the relative freque…

pie chart

Show how a "whole" divides into categories by showing a wedge…

measure of center

mean

median

mode

the central position of the data set; "typical" value in a dat…

average value; balancing point of a data set

middle value of a data set

most common value of a data set

measure of center

the central position of the data set; "typical" value in a dat…

mean

average value; balancing point of a data set

Measures of Center

Measures of Spread

Sample Mean

Population mean

Describes where the data distribution is located along the num…

Describes how much variability there is in a data distribution.

Denoted by x bar. (Sum of all observations in a sample)/(# of…

Denoted by "u", arithmetic average of all x values in an entir…

Measures of Center

Describes where the data distribution is located along the num…

Measures of Spread

Describes how much variability there is in a data distribution.

statistic

parameter

mean

sample mean

a characteristic or measure obtained by using the data values…

a characteristic or measure obtained by using all the data val…

the sum of the values, divided by the total number of values

calculated by using sample data-the sample mean is a statistic

statistic

a characteristic or measure obtained by using the data values…

parameter

a characteristic or measure obtained by using all the data val…

Response variable

Explanatory variable

Scatterplots

Positive association

Measures the outcome of a study, dependent variable, y

Attempts to explain observed outcomes, indepdent variable, x

Show the relationship betweeen two quantitive variables (bivar…

As x increases, y increases

Response variable

Measures the outcome of a study, dependent variable, y

Explanatory variable

Attempts to explain observed outcomes, indepdent variable, x

parameter

statistic

Bias

Variability

is a number that describes a population. A ____ is a fixed num…

is a number that describes a sample. The value of this is know…

is consistent, repeated deviation of the sample statistic from…

describes how spread out the values of the sample statistic ar…

parameter

is a number that describes a population. A ____ is a fixed num…

statistic

is a number that describes a sample. The value of this is know…

Distribution

The Area Principle

Categorical data

Quantitative data

This term gives the possible values of the variable and the re…

In a statistical display, each data value should be represente…

A variable that names categories (whether words or numerals)

A variable in which the numbers act as numerical values.

Distribution

This term gives the possible values of the variable and the re…

The Area Principle

In a statistical display, each data value should be represente…

Measure of center

What are four different ways to calcula…

Mean

Resistant measure of center

a value at the center or middle of a data set

Mean... Median... Mode ... Midrange

(average) the mean of a set of data is the measure of center f…

can resist substantial changes caused by extreme values. ... mean…

Measure of center

a value at the center or middle of a data set

What are four different ways to calcula…

Mean... Median... Mode ... Midrange

Outliers

Outliers Calculation

Box Plot

Comparing Data

an extreme value that lies outside the overall pattern of the…

=Q3 + k(IQR)... =Q1 - k(IQR)

-represents important features of the data... -diagram - lowest/…

-measure of location (average) and a measure of spread... -includ…

Outliers

an extreme value that lies outside the overall pattern of the…

Outliers Calculation

=Q3 + k(IQR)... =Q1 - k(IQR)

indifference curve

Indifference map

Indifference curve properties (4 of the…

Marginal Rate of Substitution (MRS)

a line that shows the consumption bundles that yield the same…

Shows 4 of infinitely possible indiffernce curves

1. They are ubiquitous ... 2. They are downward sloping... 3. They c…

Absolute value of slope of the indifference curve at a point

indifference curve

a line that shows the consumption bundles that yield the same…

Indifference map

Shows 4 of infinitely possible indiffernce curves

Arithmetic Mean

Population Arithmetic Mean

Sample Arithmetic Mean

Mean

Computed by adding all the values of the variable in the data…

Computed using all the individuals in a population (a paramete…

Computed using sample data (a statistic)

The arithmetic mean

Arithmetic Mean

Computed by adding all the values of the variable in the data…

Population Arithmetic Mean

Computed using all the individuals in a population (a paramete…

3.1 Measures of center are often called

mean and median apply only to

mean can be applied to

mean of a data set is

averages

quantitative data

quantitative and qualitative

sum of observations divided by the number of observation

3.1 Measures of center are often called

averages

mean and median apply only to

quantitative data

1.50

the number with 70% of the data below i…

49.85%

50%

SAT scores are Normally distributed with mean 500 and standard…

The 70th percentile of a distribution is

For a Normal distribution with mean 20 and standard deviation…

For a Normal distribution with mean 20 and standard deviation…

1.50

SAT scores are Normally distributed with mean 500 and standard…

the number with 70% of the data below i…

The 70th percentile of a distribution is

Average

Mode

Median

Sample mean, x

One number used to describe the entire sample or population

the value that occurs most frequently

The central value of an ordered distribution. If there is an e…

the sum of all values of entries in a sample population divide…

Average

One number used to describe the entire sample or population

Mode

the value that occurs most frequently

Addition Rule

Classical Probability

Combination

Complement

Used to find the probability of at least one or two events occ…

The number of outcomes in the sample space is known and each o…

The number of combinations of r objects selected from a group…

The set of all outcomes in a sample space that are not included

Addition Rule

Used to find the probability of at least one or two events occ…

Classical Probability

The number of outcomes in the sample space is known and each o…

applet

bias

bimodal

bin

a program with controls you can manipulate

conscious or subconscious prejudice that can affect the data

A continuous quantitative data set with two different centers

Class interval in a histogram

applet

a program with controls you can manipulate

bias

conscious or subconscious prejudice that can affect the data

Distribution

Histogram

Gap

Stem-and-leaf display

Slices up all the possible values of the variable into equal-w…

a type of bar graph that shows the frequency of data within gi…

a region of the distribution where there are no values.

shows quantitative data values in a way that sketches the dist…

Distribution

Slices up all the possible values of the variable into equal-w…

Histogram

a type of bar graph that shows the frequency of data within gi…

bimodal

boxplot

Chebyshev's Theorem

co-efficient of variation

a data set with 2 modes

a graph used to represent a data set when the data set contain…

theorem stating that the proportion of values from a data set…

standard deviation divided by the mean with the result express…

bimodal

a data set with 2 modes

boxplot

a graph used to represent a data set when the data set contain…

Response Variable

Explanatory Variable

scatterplot

Interpreting scatterplots

measure the outcome of a study.

may help explain or influence changes in a response variable.

shows the relationship between two quantitative variables meas…

1) the direction ... 2) the form ... 3) the strength of the relation…

Response Variable

measure the outcome of a study.

Explanatory Variable

may help explain or influence changes in a response variable.

Quantitative variables

Categorical variables

Response variable

Explanatory variable

Numerical values

Values expressed in categories

Measures the outcome of a study; dependent variable; y

Explains observed outcomes; independent variable; x

Quantitative variables

Numerical values

Categorical variables

Values expressed in categories

Measures of Center and Location

Parameter

As long as the population does not chan…

Statistic

Mean, Median, Mode, Weighted Mean

A measure computed from the entire population

The value of the parameter will not change

A measure computed from a sample that has been selected from a…

Measures of Center and Location

Mean, Median, Mode, Weighted Mean

Parameter

A measure computed from the entire population