#### Study sets matching "statistics chapter 3"

#### Study sets matching "statistics chapter 3"

measure of center

mean

median

mode

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

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 da…

mean

average value; balancing point of a 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 paramet…

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 paramet…

Bimodal distribution

First quartile

Interquartile Range

Lower inner fence

A distribution that has two modes

The value in a ranked data set such that about 25% of the mea…

The difference between the third and the first quartiles

A value in a data set that is 1.5(IQR) below the first quartile

Bimodal distribution

A distribution that has two modes

First quartile

The value in a ranked data set such that about 25% of the mea…

Response variable

Explanatory variable

Scatterplots

When the variables aren't dependent, t…

Measures the outcome of a study, dependent variable, y

Attempts to explain observed outcomes, indepdent variable, x

Show the relationship betweeen two quantitive variables (biva…

Independent, x

Response variable

Measures the outcome of a study, dependent variable, y

Explanatory variable

Attempts to explain observed outcomes, indepdent variable, x

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

Symmetric distribution

skewed

unimodal

outliers

same shape reflected around the center

distribution ends farther on one end than the other

distribution has a single major hump or mode, bimodal has two…

values that lie far from the rest of the data

Symmetric distribution

same shape reflected around the center

skewed

distribution ends farther on one end than the other

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 contai…

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

standard deviation divided by the mean with the result expres…

bimodal

a data set with 2 modes

boxplot

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

___ ___ refers to the value around whi…

___ refers to the degree to which valu…

___ ___ ___ refers to the particular w…

The three key measures of central tend…

Central tendency

Variability

Shape of distribution

Mode, median, mean

___ ___ refers to the value around whi…

Central tendency

___ refers to the degree to which valu…

Variability

Sample mean

population mean

sample median

population median

the sum of the observation divided by n

the mean of the entire population

the middle value of the ordered data

the middle value of an entire population

Sample mean

the sum of the observation divided by n

population mean

the mean of the entire population

Statistic

Parameter

Mean

The Sample Mean

A characteristic or measure obtained by using the data values…

A characteristic or measure obtained by using all the data va…

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

Denoted by x̄ (pronounced X-bar) is calculated by using sampl…

Statistic

A characteristic or measure obtained by using the data values…

Parameter

A characteristic or measure obtained by using all the data va…

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…

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

Average

One number used to describe the entire sample or population

Mode

the value that occurs most frequently

Response Variable

Explanatory Variable

Scatterplot

Positive Association

measures an outcome of a study

may help explain or predict changes in a response variable

shows the relationship between two quantitative variables mea…

data points that generally go upward from left to right, some…

Response Variable

measures an outcome of a study

Explanatory Variable

may help explain or predict changes in a response variable

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 mea…

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

Response Variable

measure the outcome of a study.

Explanatory Variable

may help explain or influence changes in a response variable.

Parameter

population mean

sample mean

statistic

A characteristic of a population.

population mean = sum of all the values in the population / n…

"x bar"... sample mean = sum of all the values in the sample / n…

A characteristic of a sample.

Parameter

A characteristic of a population.

population mean

population mean = sum of all the values in the population / n…

3.1 Measures of Central Tendency: Mean

3.1 Measures of Central Tendency: Median

3.1 Measures of Central Tendency: Mode

3.1 Measures of Central Tendency: Resi…

- The average.... - Used when data are quantitative and the freq…

- The data value "in the middle"... - Used when the data are qua…

- The most frequently occurring value... - Can be applied to bot…

Resistant statistic is a numerical summary (statistic or para…

3.1 Measures of Central Tendency: Mean

- The average.... - Used when data are quantitative and the freq…

3.1 Measures of Central Tendency: Median

- The data value "in the middle"... - Used when the data are qua…

Central tendency

Mean

Median

Mode

A statistical measure... A single score to define the center of…

the sum of all the scores divided by the number of scores in…

the midpoint of the scores in a distribution when they are li…

The mode is the score or category that has the greatest frequ…

Central tendency

A statistical measure... A single score to define the center of…

Mean

the sum of all the scores divided by the number of scores in…

Average daily inpatient census

Calculation of inpatients service days

Calculation of transfers

Census day

The mean number of hospital inpatients present in the hospita…

The measurement of the services received by all inpatients in…

A medical care unit that shows transfers on and off the unit…

A unit of measure equivalent to the services received by one…

Average daily inpatient census

The mean number of hospital inpatients present in the hospita…

Calculation of inpatients service days

The measurement of the services received by all inpatients in…

Classes

Histogram

Number of class intervals

Class Width

frequency distribution for interval data by counting the numb…

provides information about how numbers are distributed

= 1+ 3.3 log (n)

= Largest Observation- Smallest Observation/ Number of classes

Classes

frequency distribution for interval data by counting the numb…

Histogram

provides information about how numbers are distributed

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 contai…

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

standard deviation divided by the mean with the result expres…

bimodal

a data set with 2 modes

boxplot

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

Scatterplot

Explanatory Variable

Response Variable

DOFS

Displays the relationship between 2 quantitative variables... 1…

When x helps predict y, goes on x-axis

When y is predicted by x, goes on y axis

Direction, Outliers, Form, Strength

Scatterplot

Displays the relationship between 2 quantitative variables... 1…

Explanatory Variable

When x helps predict y, goes on x-axis

central tendency

mean / average

weighted mean

outliers

a single value used to describe the center point of a data set

most common measure of central tendency... calculated by adding…

allows you to assign more weight to certain values and less w…

values that are much higher or lower than most of your data

central tendency

a single value used to describe the center point of a data set

mean / average

most common measure of central tendency... calculated by adding…

Experiment

Sample Point

Sample Space

Event

process of making an observation that leads to a single outco…

the most basic outcome of an experiment

the collection of all its sample points

is a specific collection of sample points.

Experiment

process of making an observation that leads to a single outco…

Sample Point

the most basic outcome of an experiment

3 Things you should always do first wi…

Relative Frequency Table (distribution…

Distribution of a variable

Area Principle

1. Make a picture- a display to help you THINK... 2. Picture- SH…

Lists the categories in a categorical variable and the percen…

Tells us what values a variable takes and how often

Each data value should be represented by the same amount of a…

3 Things you should always do first wi…

1. Make a picture- a display to help you THINK... 2. Picture- SH…

Relative Frequency Table (distribution…

Lists the categories in a categorical variable and the percen…

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 contai…

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

standard deviation divided by the mean with the result expres…

bimodal

a data set with 2 modes

boxplot

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

frequency distribution

Comparative bar chart

pie chart

Segmented bar chart

A table that displays frequencies and sometimes relative and…

two or more bar charts that use the same set of horizontal an…

a graph of a frequency distribution for a categorical data set.

A graph of a frequency distribution for a categorical data se…

frequency distribution

A table that displays frequencies and sometimes relative and…

Comparative bar chart

two or more bar charts that use the same set of horizontal an…

Coefficient of determination r2

Correlation

Equation of the least-squares regressi…

Explanatory variable

The fraction of the variation in the values of y that is acco…

Measures the direction and strength of the linear relationshi…

y(hat) = a+bx with slope b=r sy/sx and y intercept a=y(bar) -…

A variable that may help explain or influences changes in a r…

Coefficient of determination r2

The fraction of the variation in the values of y that is acco…

Correlation

Measures the direction and strength of the linear relationshi…

Sample Statistic

Popular Parameter

Point Estimator

Mean

A numerical value used as a summary measure for a sample

A numerical value used as a summary measure for a popular

The sample statistic when used to estimate the corresponding…

A measure of central location computed by summing the data va…

Sample Statistic

A numerical value used as a summary measure for a sample

Popular Parameter

A numerical value used as a summary measure for a popular

3.1 Measures of Central Tendency: Mean

3.1 Measures of Central Tendency: Median

3.1 Measures of Central Tendency: Mode

3.1 Measures of Central Tendency: Resi…

- The average.... - Used when data are quantitative and the freq…

- The data value "in the middle"... - Used when the data are qua…

- The most frequently occurring value... - Can be applied to bot…

Resistant statistic is a numerical summary (statistic or para…

3.1 Measures of Central Tendency: Mean

- The average.... - Used when data are quantitative and the freq…

3.1 Measures of Central Tendency: Median

- The data value "in the middle"... - Used when the data are qua…

Bimodal

Central tendency

Line graph

Median

A distribution with two modes.

A statistical measures that identifies a single score (usuall…

A display in which points connected by straight lines show se…

The score that divides a distribution exactly in half.

Bimodal

A distribution with two modes.

Central tendency

A statistical measures that identifies a single score (usuall…

Statistic

Parameter

mean

Median

A characteristic or measure obtained by using the data values…

Characteristic or measure obtained by using all the data valu…

The Sum of the values, divided by the total number of values.

The midpoint of the data array(Symbol of Median is MD)

Statistic

A characteristic or measure obtained by using the data values…

Parameter

Characteristic or measure obtained by using all the data valu…

Experiment

Sample Point

Sample Space

Probability Rules for Sample Points (t…

An act or process observation that leads to a single outcome…

The most basic outcome of an experiment

The collection of all sample points in an experiment

1) All sample point probabilities must lie between 0 and 1... 2)…

Experiment

An act or process observation that leads to a single outcome…

Sample Point

The most basic outcome of an experiment

Probability experiment

Outcome

Sample space

Event

An action, or trial, through specific results (counts, measur…

The result of a single trial in a probability experiment

The set of all possible outcomes of probability experiment

A subset of the sample space; consists of one or more outcomes

Probability experiment

An action, or trial, through specific results (counts, measur…

Outcome

The result of a single trial in a probability experiment

mean

average

standard deviation

variance

the arithmetic average

add all values up and divide by the number of values there are

a number that measures how far away the typical observation i…

the standard deviation squared

mean

the arithmetic average

average

add all values up and divide by the number of values there are

Experiment

Sample point

Sample space

Event

An act or process of observation that leads to a single outco…

The most basic outcome of an experiment

The collection of all of the experiment's sample points

A specific collection of sample points

Experiment

An act or process of observation that leads to a single outco…

Sample point

The most basic outcome of an experiment

Sample (Arithmetic) Mean

Sample Median

100p% Trimmed Mean

Mode

Denoted as x with a - above it. It is the sum of the observat…

Denoted as x with a ~ above it. Is the middle number when the…

Denoted as x with a - above it and a tr(p) beside/under it. I…

Denoted as M. Is the value that occurs most often, or with th…

Sample (Arithmetic) Mean

Denoted as x with a - above it. It is the sum of the observat…

Sample Median

Denoted as x with a ~ above it. Is the middle number when the…

The Counting Rule

Factorials

Types of Samples

Sampling without replacement

3 steps... step 1 can be accomplish k1 different ways... step 2 c…

suppose n is a non negative integer, the the symbol n! (n is…

sampling without replacement... sampling w replacement... ordered s…

each member or the population can be selected at most one

The Counting Rule

3 steps... step 1 can be accomplish k1 different ways... step 2 c…

Factorials

suppose n is a non negative integer, the the symbol n! (n is…

Categorical Data

Segmented Bar chart

Stem

Leaf

Data used fir charts

A type of pie chart in which all the data is stacked in a bar…

The first part of the number and consistis of the beginning d…

The last part of the number and consists of the final digit(s)

Categorical Data

Data used fir charts

Segmented Bar chart

A type of pie chart in which all the data is stacked in a bar…

distribution

(relative frequency) histogram

gap

stem and leaf display

the __________ of a quantitative variable slices up all the p…

uses adjacent bars to show the distribution of a quantitative…

a region of the distribution where there are no values

show the quantitative data values in a way that sketches the…

distribution

the __________ of a quantitative variable slices up all the p…

(relative frequency) histogram

uses adjacent bars to show the distribution of a quantitative…

Basic display types

Histogram

Key characteristics to observe

Shape

Histogram, Dot Plot, Steam-and-leaf Display

Uses adjacent bars to show the distribution of a quantitative…

shape, center, spread, and outliers

single or multiple modes; symmetry or skewedness; gaps

Basic display types

Histogram, Dot Plot, Steam-and-leaf Display

Histogram

Uses adjacent bars to show the distribution of a quantitative…

Central Tendency

Weighted Mean

Mode

Median

Descriptive statistics that indicate a typical or representat…

Overall mean calculated from two or more samples with differe…

Score that occurs most frequently in a distribution.

Point that divides a distribution of scores into equal halves.

Central Tendency

Descriptive statistics that indicate a typical or representat…

Weighted Mean

Overall mean calculated from two or more samples with differe…

Parameter

Statistic

Mean

Median

Parameter vs Statistic. Single numerical measure calculated f…

Parameter vs Statistic. Single numerical measure if calculate…

Arithmetic average. Appropriate for symmetric distributions.…

'Balances' number of observations. Appropriate for skewed dis…

Parameter

Parameter vs Statistic. Single numerical measure calculated f…

Statistic

Parameter vs Statistic. Single numerical measure if calculate…