Study sets matching "mathematics statistics"

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Study sets matching "mathematics statistics"

14 terms
Statistics-Mathematics
discrete data
box and whisker plot
Histogram
bar graph
A number is recorded for a discrete numerical variable.
Visual display of median, UQ,LQ, minimum value and maximum va…
Bars are joined together
Bars are separated
discrete data
A number is recorded for a discrete numerical variable.
box and whisker plot
Visual display of median, UQ,LQ, minimum value and maximum va…
Mathematics & Statistics
Metric Prefixes
Logarithmic Identities
Converting Common and Natural Logarithms
Logarithm Shortcuts
1x10 = ... 3x10= .5... 5x10 = .3... 8x10 = .1... 10x10= - 1
Metric Prefixes
Logarithmic Identities
Mathematics - Statistics: Mathematical models
Step 1
Step 2
Step 3
Step 4
A real world problem is observed.
A mathematical model is devised.
The mathematical model is used to make predictions about the…
Experimental data is collected from the real world.
Step 1
A real world problem is observed.
Step 2
A mathematical model is devised.
Statistics-Mathematics
discrete data
box and whisker plot
Histogram
bar graph
A number is recorded for a discrete numerical variable.
Visual display of median, UQ,LQ, minimum value and maximum va…
Bars are joined together
Bars are separated
discrete data
A number is recorded for a discrete numerical variable.
box and whisker plot
Visual display of median, UQ,LQ, minimum value and maximum va…
32 terms
Mathematics: statistics
bar chart
bar-line graph
certain
class interval
Säulendiagramm
...
sicher
...
bar chart
Säulendiagramm
bar-line graph
...
Mathematics and Statistics
Graphing
y = mx + c
mx
X and Y Intercepts
y/x = mx + c
y= Y-Intercept... x= X-intercept... m= Gradient... c= Constant
Gradient- Rate of change, unit cost of money
X-Intercept is when y=0... Y-Intercept is when x=0... Coordinates;…
Graphing
y/x = mx + c
y = mx + c
y= Y-Intercept... x= X-intercept... m= Gradient... c= Constant
MATHEMATICS AND STATISTIC
Interpret "Least-squares line"
Interpret "Sample correlation coeffici…
Interpret "coefficient of dermination"
Determine if the optimal solution woul…
The slope b=1.60 indicates that if [X] increased by 1, then i…
Since r=0.874, there is a strong positive linear correlation…
About 70.48% varation of [Y] can be explained by correspondin…
Since [the profit on planting crops A = $7/m2)] is within the…
Interpret "Least-squares line"
The slope b=1.60 indicates that if [X] increased by 1, then i…
Interpret "Sample correlation coeffici…
Since r=0.874, there is a strong positive linear correlation…
39 terms
Mathematical statistics
Bernoulli
P probability of success
0,1,2...
Geometric pmf
Discrete distribution to model things like a coin toss or a w…
Parameters of bernoulli
Range of geometric
Px(k)=p(1-p)^k
Bernoulli
Discrete distribution to model things like a coin toss or a w…
P probability of success
Parameters of bernoulli
48 terms
Statistics 1 Mathematics BNDS
outliers
tally
distribution
mode
Numbers that are much greater or much less than the other num…
a method of counting where a single line represents one item…
the way data is spread out across a range
a measure of center-the value that occurs most frequently in…
outliers
Numbers that are much greater or much less than the other num…
tally
a method of counting where a single line represents one item…
Mathematical Statistics
How is the standard deviation found?
Formulas for Coefficient Variation?
Population/Deviation Symbol?
What is chebychevs Theorem?
Its the square root of standard deviation
Population δ÷µ×100% Sample S/x×100%
δ=Population Sx= Sample
1-1/k²
How is the standard deviation found?
Its the square root of standard deviation
Formulas for Coefficient Variation?
Population δ÷µ×100% Sample S/x×100%
16 terms
Grade 7 mathematics - statistics
average
class
class interval
data
a representative value; mode, mean and median are examples
a group of numbers or measurements
the width of a group or interval in a grouped frequency table
facts, numbers or measurements
average
a representative value; mode, mean and median are examples
class
a group of numbers or measurements
Mathematics 1 - Algebra and Statistics
What is the domain for the following s…
What is the range of the following set…
In a function, what do you call the x…
What form is this line equation in: y=…
{0,2,3,4}
{-2,-1,2,6}
zeros
slope-intercept form
What is the domain for the following s…
{0,2,3,4}
What is the range of the following set…
{-2,-1,2,6}
8 terms
AS Statistical Mathematics 1
Define the term 'Experiment'.
Define the term 'Event'.
Define the term 'Sample Space'.
Define the term 'Probability of an Eve…
A repeatable process that gives rise to a number of outcomes.
A collection of one or more outcomes.
A set of all possible outcomes of an experiment.
Number of outcomes / total possible outcomes.
Define the term 'Experiment'.
A repeatable process that gives rise to a number of outcomes.
Define the term 'Event'.
A collection of one or more outcomes.
36 terms
Mathematical Requirements and Statistics
Length
Volume
Area
Time
Metre (m), Millimetre (mm)- 10^-3m, Micrometre( µm) 10^-6m, N…
Cubicmetre/ m^3
Squaremtre/ m^2
Hour/h... Minute/ min... Seconds/ s
Length
Metre (m), Millimetre (mm)- 10^-3m, Micrometre( µm) 10^-6m, N…
Volume
Cubicmetre/ m^3
37 terms
Descriptive statistics (from Haese Mathematics)
Population
Census
Sample
Survey
Defined collection of individuals or objects about which we w…
Collection of information from the whole population.
Subset of the population which we want to collect information…
The collection of information from a sample.
Population
Defined collection of individuals or objects about which we w…
Census
Collection of information from the whole population.
Statistics: Mathematical Symbols
Sigma Σ
Sigma squared
σ
Mean of population
Short for "add them all up." Greek symbol
symbol for variance in a population; σ^2
Lower case sigma, the standard deviation for a population
Mu
Sigma Σ
Short for "add them all up." Greek symbol
Sigma squared
symbol for variance in a population; σ^2
15 terms
IB HL Mathematics Statistics Definitions
Discrete Random Variable
Continuous Random Variable
Population Parameter
Estimator
Random variables whose values are finite or countably finite
Variable whose values are not finite or are countably infinite
A numerical value describing a characteristic of a population
Sample statistic that can be applied to the values in any sam…
Discrete Random Variable
Random variables whose values are finite or countably finite
Continuous Random Variable
Variable whose values are not finite or are countably infinite
10 terms
Mathematical Concepts and Statistical Analyses
Error Bars
Mean
Standard Deviation
T-Test
show the standard deviation (range) of data... Is the data signi…
average
indicates how far the data is spread from the mean
allows us to compare the means of two populations when ... 1) th…
Error Bars
show the standard deviation (range) of data... Is the data signi…
Mean
average
10 terms
Statistical and Mathematical Copy
When using statistical term in a narra…
Statistical and Mathematical copy can…
3 or less numbers
20 or more numbers
Use the term not the symbol EX: ... *The medians were not ... *the…
tables figures and graphics
use a sentence
a graph is more useful than a table
When using statistical term in a narra…
Use the term not the symbol EX: ... *The medians were not ... *the…
Statistical and Mathematical copy can…
tables figures and graphics
27 terms
Ch 1: Mathematics and Statistical Notation
Expression
Equation
Term
Arithmetic operation
A mathematical statement that consists of one or more numbers…
A mathematical statement that says two expressions are equal.
A component of an expression and is analogous to a word in a…
Ways of meaningfully manipulating numbers or variables.
Expression
A mathematical statement that consists of one or more numbers…
Equation
A mathematical statement that says two expressions are equal.
AQA A Level Mathematics Statistics 1
What are the parameters for a binomial…
What are the parameters for a normal d…
What is the binomial equation?
What is the mean of a binomial distrib…
X~B(n,p)... (n = number, p = probability)
X~N(µ, σ²)... (µ = population mean, σ² = variance)
µ = np
What are the parameters for a binomial…
X~B(n,p)... (n = number, p = probability)
What are the parameters for a normal d…
X~N(µ, σ²)... (µ = population mean, σ² = variance)
9 terms
Application of Discrete Mathematics and Statistics Chapter 2 Terms
cardinality
common
disjoint
proper subset
Is the number of elements in that set. You use the symbol n(A…
When an element of a set belongs to two or more sets, the set…
Mutually exclusive sets.
If every element in set B is in set A and the two sets are no…
cardinality
Is the number of elements in that set. You use the symbol n(A…
common
When an element of a set belongs to two or more sets, the set…
32 terms
Application of Discrete Mathematics and Statistics Chapter 1 Terms
abductive reasoning
AND
axioms
case proof
Usually starts with an incomplete set of observations and adv…
Conjunction.
Self-evident beginnings.
Shows a statement is true by showing all the cases are true.
abductive reasoning
Usually starts with an incomplete set of observations and adv…
AND
Conjunction.
41 terms
Appendix C: Fundamentals of Mathematical Statistics
Alternative Hypothesis
Asymptotic Normality
Biased Estimator
Central Limit Theorem (CLT)
The hypothesis stating what the researcher is seeking evidenc…
the sampling distribution of a properly normalized estimator…
any sample statistic obtained from a randomly selected sample…
The theory that, as sample size increases, the distribution o…
Alternative Hypothesis
The hypothesis stating what the researcher is seeking evidenc…
Asymptotic Normality
the sampling distribution of a properly normalized estimator…
32 terms
Middle School Mathematics (Praxis II Exam) - Probability, Statistics, and Discrete Mathematics
Tables
Quantitative Data
Categorical Data
Bar Graphs
A convenient way to present data clearly. The data is present…
Data having to do with quantities as the items being measured.
Data having to do with the categories as the items being meas…
Convey information using rectangular bars that do not touch e…
Tables
A convenient way to present data clearly. The data is present…
Quantitative Data
Data having to do with quantities as the items being measured.
19 terms
Intro to descriptive statistics (from Haese Mathematics)
Population
Census
Sample
Survey
Defined collection of individuals or objects about which we w…
Collection of information from the whole population.
Subset of the population which we want to collect information…
The collection of information from a sample.
Population
Defined collection of individuals or objects about which we w…
Census
Collection of information from the whole population.
68 terms
AQA A Level Mathematics Statistics 1
What are the parameters for a binomial…
What are the parameters for a normal d…
What is the binomial equation?
What is the mean of a binomial distrib…
X~B(n,p)... (n = number, p = probability)
X~N(µ, σ²)... (µ = population mean, σ² = variance)
µ = np
What are the parameters for a binomial…
X~B(n,p)... (n = number, p = probability)
What are the parameters for a normal d…
X~N(µ, σ²)... (µ = population mean, σ² = variance)
24 terms
Mathematical/Statistical Terms from Latin
abscissa
amphicrytic
antilogarithm
augend
\ab-ˈsi-sə, əb-\... the horizontal coordinate of a point in a pl…
\¦amfə¦sərtik\... having both sides convex — used of angles betw…
\ˌan-ˌtī-ˈlȯ-gə-ˌri-thəm, ˌan-ti-, -ˈlä-\... the number corres…
\ˈȯˌjend\... : the quantity to which an addend is added
abscissa
\ab-ˈsi-sə, əb-\... the horizontal coordinate of a point in a pl…
amphicrytic
\¦amfə¦sərtik\... having both sides convex — used of angles betw…
Mathematics 9.2 Chapter 1 Statistics
Population
Census
Sample
Survey
Is the complete group that statistical information would rela…
Obtains information from the whole population
Part of the population
Obtains data from a sample
Population
Is the complete group that statistical information would rela…
Census
Obtains information from the whole population
20 terms
Middle School Mathematics (Praxis II Exam) - Probability, Statistics, and Discrete Mathematics
Quantitative Data
Categorical Data
Pie Chart
Line Graphs
Data having to do with quantities as the items being measured.
Data having to do with the categories as the items being meas…
Displays data as wedges in a circular shape. Also called circ…
Plot one variable against another. Similar to linear equation…
Quantitative Data
Data having to do with quantities as the items being measured.
Categorical Data
Data having to do with the categories as the items being meas…
37 terms
Praxis - Science I - History, Mathematics & Statistics
Scientific Knowledge
Scientific Method ... (5 general steps)
Important Reminders... Scientific Method
Scientific Fact
- The sum of all scientific inquiries for truths about the na…
- identifying a problem or posing a question... - hypotheses or…
- use acceptable experimentation techniques... - objectivity... - p…
Objective & verifiable observation... ex: An object falls.
Scientific Knowledge
- The sum of all scientific inquiries for truths about the na…
Scientific Method ... (5 general steps)
- identifying a problem or posing a question... - hypotheses or…
TeXes EC-6 Mathematics - Competency 005 (Probability and Statistics):
Competency 005 (Probability and Statis…
Statistics
Statistical Methods
Probability
The teacher understands concepts... related to probability and s…
The science or study of data.
Methods used to describe, analyze, evaluate, and interpret in…
Gives a way to measure uncertainty and is essential for under…
Competency 005 (Probability and Statis…
The teacher understands concepts... related to probability and s…
Statistics
The science or study of data.
23 terms
Scientific Method, History of Science, Mathematics of Science, Statistics
law
scientific theory
model
Anton van Leeuwenhoek (d. 1723)
an explanation of events that always lead to the same outcome
a greater body of accepted knowledge, principles, or relation…
-used to explain something on a smaller scale or in simpler t…
-used homemade magnifying glasses to become the first person…
law
an explanation of events that always lead to the same outcome
scientific theory
a greater body of accepted knowledge, principles, or relation…
General Mathematics - 6 stages of statistical investigation
Stage 1
Stage 2
Stage 3
Stage 4
posing questions
collecting data
organising data
summarising and displaying data
Stage 1
posing questions
Stage 2
collecting data
7 terms
Statistics 1 C1 Mathematical Model Stages
STEP ONE
STEP TWO
STEP THREE
STEP FOUR
A real world problem is observed
A mathematical model is devised
The mathematical model is used to make predictions about the…
Experimental data is collected from the real world
STEP ONE
A real world problem is observed
STEP TWO
A mathematical model is devised
10 terms
CSET Mathematics Domain 4: Basic Terms in Statistics
What are the measures of central tende…
How does one find the mean?
How does one find the mode?
How does one find the median?
They are the mean, median, mode, and range?
The mean (also known as the arithmetic mean) of a set of data…
The mode of a set of data is the value repeated most often. I…
The median of a set of data is the value in the middle so tha…
What are the measures of central tende…
They are the mean, median, mode, and range?
How does one find the mean?
The mean (also known as the arithmetic mean) of a set of data…
32 terms
Middle School Mathematics (Praxis II Exam) - Probability, Statistics, and Discrete Mathematics for License
Tables
Quantitative Data
Categorical Data
Bar Graphs
A convenient way to present data clearly. The data is present…
Data having to do with quantities as the items being measured.
Data having to do with the categories as the items being meas…
Convey information using rectangular bars that do not touch e…
Tables
A convenient way to present data clearly. The data is present…
Quantitative Data
Data having to do with quantities as the items being measured.
7 terms
S1: Mathematical Models In Probability & Statistics
Advantage Of Mathematical Models relat…
Advantage Of Mathematical Models relat…
Advantage Of Mathematical Models relat…
Advantage Of Mathematical Models relat…
Quick and easy to produce
Can simplify a complex situation.
Helps improve understanding of real world situations
Enable predictions to be made.
Advantage Of Mathematical Models relat…
Quick and easy to produce
Advantage Of Mathematical Models relat…
Can simplify a complex situation.
10 terms
Statistics 1: Chapter 1 - Mathematical models in probability and statistics
Advantages mathematical model
Disadvantages
1
2
Quick... Easy... Improve our understanding of the real world... enable…
only a partial description ... only work for a restricted range…
a real world problem is observed
a mathematical model is devised
Advantages mathematical model
Quick... Easy... Improve our understanding of the real world... enable…
Disadvantages
only a partial description ... only work for a restricted range…
8 terms
TExES Core Subjects EC-6: Mathematics (Probability & Statistics)
Statistics
Range
Mean
Median
The science or study of data. Describe, analyze, evaluate, &…
Difference between highest & lowest number.
Average of the data values.
The middle value of all the numbers.
Statistics
The science or study of data. Describe, analyze, evaluate, &…
Range
Difference between highest & lowest number.
24 terms
Statistics 2 S2 Edexcel Mathematics Key terms
conditions for binomial
Highest value/point
population
sample
fixed number of trials... Two possible outcomes... Trials are Indep…
mode of continuous random variable
collection of individual items
selection of individual items from a population
conditions for binomial
fixed number of trials... Two possible outcomes... Trials are Indep…
Highest value/point
mode of continuous random variable
CCEA A2 Mathematics - Statistics 2 (S2/S4)
Null hypothesis
Alternative hypothesis
Significance level
Critical region
The condition assumed true under the condition of a hypothesi…
Believed to be correct if null is not true.
Probability of type I error (false positive) - Incorrectly re…
Range of values for test statistic where alt is more probable…
Null hypothesis
The condition assumed true under the condition of a hypothesi…
Alternative hypothesis
Believed to be correct if null is not true.
28 terms
John Freund's Mathematical Statistics Ch. 1 & 2
The Basic Principle of Counting
Tree Diagram
Permutations
Circular Permutations
If an operation consists of two steps, of which the first can…
Listing of all the possibilities within a sample space
A distinct arrangement of n different elements of a set
Permutations that occur when overs are arranged in a circle.
The Basic Principle of Counting
If an operation consists of two steps, of which the first can…
Tree Diagram
Listing of all the possibilities within a sample space
S1 Ch1 - Mathematical Models in Probability and Statistics
Advantages of a Mathematical Model
Disadvantages of a Mathematical Model
An Advantage of a Mathematical Model
An Advantage of a Mathematical Model
-Quicker easy to produce... -Can simplify a more complex situati…
-It only gives a part description of the real situation... -They…
Quicker easy to produce
Can simplify a more complex situation
Advantages of a Mathematical Model
-Quicker easy to produce... -Can simplify a more complex situati…
Disadvantages of a Mathematical Model
-It only gives a part description of the real situation... -They…
10 terms
S1 Ch.1 Mathematical Models in Probability and Statistics
Reasons for models
Advantages
Disadvantages
1st Step
-simplification... -used to make predictions of real world probl…
-quick and easy... -cheap and efficient models... -simplifies compl…
-Only gives a partial description of a real situation... -only w…
Real world problem found
Reasons for models
-simplification... -used to make predictions of real world probl…
Advantages
-quick and easy... -cheap and efficient models... -simplifies compl…
types of data and mathematical skills and statistical testing, peer review , psychology and the economy
primary data
what does the collection of primary da…
secondary data
statistical tests
info observed or collected directly from fist hand. experienc…
designing the study, gaining ethical approval, piloting the s…
data info collected for a purpose other than the current one.…
designed to work out the probability of whether a particular…
primary data
info observed or collected directly from fist hand. experienc…
what does the collection of primary da…
designing the study, gaining ethical approval, piloting the s…
43 terms
Research Methods: Maths- Correlations, Data Analysis, Mathematical Content and Statistical Testing
What does a correlation illustrate?
What is a positive correlation?
What is a negative correlation?
What is a zero correlation?
The strength and direction between 2 or more co variables
As one co variable increases, so does the other
As one co variable increases, the other decreases
When there is no relationship between the co-variables
What does a correlation illustrate?
The strength and direction between 2 or more co variables
What is a positive correlation?
As one co variable increases, so does the other
Units 6-9 Statistics, scale drawings, probability, Business Mathematics, and Geometry and trigonometry
Geometry
Euclid
line
line segment
measuring of the earth
The Elements
extends Infinitely
a portion of a line having two endpoints
Geometry
measuring of the earth
Euclid
The Elements
11 terms
Stats Ch. 2.1- Discrete Random Variables [Mathematical Statistics and Data Analysis (Rice)]
Bernoulli Random Variable
Indicator Random Variable
Binomial Distribution
Geometric Distribution
A Bernoulli random variable takes on only two values: 0 and 1…
If A is an event, then the indicator random variable, Ia, tak…
The probability of a particular sequence of k successes multi…
Is constructed from an infinite sequence of independent Berno…
Bernoulli Random Variable
A Bernoulli random variable takes on only two values: 0 and 1…
Indicator Random Variable
If A is an event, then the indicator random variable, Ia, tak…
10 terms
Stats Ch. 1.2 Sample Spaces [Mathematical Statistics and Data Analysis (Rice)]
Ω = {ccc,ccs,csc,css,scc,scs,ssc,sss}
A = {sss,ssc,scc,scs}... B = {sss,scs,ccs…
C = A∪B
C = A∩B
Sample Space - set of all possible outcomes of an experiment
Event - a subset of interest in the sample space... A = always s…
Union of two events - subset where either, or both occur.... C =…
Intersection of two events - subset where both A and B occur…
Ω = {ccc,ccs,csc,css,scc,scs,ssc,sss}
Sample Space - set of all possible outcomes of an experiment
A = {sss,ssc,scc,scs}... B = {sss,scs,ccs…
Event - a subset of interest in the sample space... A = always s…
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