Applied Probability and Statistics
Whole number - ANSWER: Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...
Integers - ANSWER: numerical figures that do not contain a fractional or decimal
component. unlike whole numbers, can be either a positive number*, a negative
number*, or zero.
Rational numbers - ANSWER: Numbers that can be expressed as a fraction. includes
all integers since any integer can be expressed as a fraction. Includes Decimals with
ending expansions like -1.6.
Real Numbers - ANSWER: any number that can be placed on the number line, whether
that be negative or positive, fraction or decimal.
Set - ANSWER: collection of numbers in mathematics
Data - ANSWER: collection of numbers in statistics
Interval - ANSWER: A set of numbers between two given numbers.
Continuous Data - ANSWER: a set of data that can hold any value within the set
- Can have any value within an interval
- Is "measured"
- Does not have clear boundaries between elements or data points
- In mathematics, the set of real numbers is an example set. This set contains elements
with no discernible gaps between each element. Remember that the number line is a
visual representation of the set of real numbers. Just as the number line is without gaps,
so is the set of real numbers.
- In statistics, some examples of these types of data set are temperature, distance, and
time - - An element in these groups can hold any real number within a certain interval,
dependent upon the scale used.
Discrete data - ANSWER: A set of distinct, separate, and unconnected data
Can only have certain values
Is "counted"
Contains unconnected points
In mathematics, whole numbers, integers, and even integers are all examples. These
sets contain unconnected elements, with gaps between each value.
In statistics, some example sets are the number of adults in a household, the results of
rolling two dice, and the number of machines in operation
, Distribution - ANSWER: An arrangement of values that illustrates their frequency or
occurance
Addition - ANSWER: finding the total of two or more values
Subtraction - ANSWER: Taking one or more values away from the other
Expressions - ANSWER: A string of terms that are connected by division, addition, and
subtraction operations.
Operators - ANSWER: A word or symbol (such as + or -) that indicates an operation
between values.
Commutative - ANSWER: The property that the order of the numbers under the
operation does not change the result. Addition and multiplication are, Subtraction is not.
Identity Property - ANSWER: the sum of any number and 0 is that number the product
of 1 and any number is that number
Multi-step expression - ANSWER: An expression or equation with more than two values
and two or more operators that requires multiple steps to be solved.
7+1-4
Multiplication - ANSWER: An operation used for the shortening of repeated addition
Product - ANSWER: The result of multiplying values
Multiplicative Inverse - ANSWER: The number you must multiply a given number by to
get 1. The numbers 5 and 1/5 represent this concept.
Division - ANSWER: splitting a number into equal parts
Quotient - ANSWER: the result of division
Exponent - ANSWER: A mathematical notation indicating the number of times a
quantity is multiplied by itself.
Base number - ANSWER: The number that is multiplied by itself when paired with an
exponent.
Order of Operations - ANSWER: A set of rules that defines the order in which
mathematical operations should be performed in a mathematical expression.
PEMDAS: Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction
Whole number - ANSWER: Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...
Integers - ANSWER: numerical figures that do not contain a fractional or decimal
component. unlike whole numbers, can be either a positive number*, a negative
number*, or zero.
Rational numbers - ANSWER: Numbers that can be expressed as a fraction. includes
all integers since any integer can be expressed as a fraction. Includes Decimals with
ending expansions like -1.6.
Real Numbers - ANSWER: any number that can be placed on the number line, whether
that be negative or positive, fraction or decimal.
Set - ANSWER: collection of numbers in mathematics
Data - ANSWER: collection of numbers in statistics
Interval - ANSWER: A set of numbers between two given numbers.
Continuous Data - ANSWER: a set of data that can hold any value within the set
- Can have any value within an interval
- Is "measured"
- Does not have clear boundaries between elements or data points
- In mathematics, the set of real numbers is an example set. This set contains elements
with no discernible gaps between each element. Remember that the number line is a
visual representation of the set of real numbers. Just as the number line is without gaps,
so is the set of real numbers.
- In statistics, some examples of these types of data set are temperature, distance, and
time - - An element in these groups can hold any real number within a certain interval,
dependent upon the scale used.
Discrete data - ANSWER: A set of distinct, separate, and unconnected data
Can only have certain values
Is "counted"
Contains unconnected points
In mathematics, whole numbers, integers, and even integers are all examples. These
sets contain unconnected elements, with gaps between each value.
In statistics, some example sets are the number of adults in a household, the results of
rolling two dice, and the number of machines in operation
, Distribution - ANSWER: An arrangement of values that illustrates their frequency or
occurance
Addition - ANSWER: finding the total of two or more values
Subtraction - ANSWER: Taking one or more values away from the other
Expressions - ANSWER: A string of terms that are connected by division, addition, and
subtraction operations.
Operators - ANSWER: A word or symbol (such as + or -) that indicates an operation
between values.
Commutative - ANSWER: The property that the order of the numbers under the
operation does not change the result. Addition and multiplication are, Subtraction is not.
Identity Property - ANSWER: the sum of any number and 0 is that number the product
of 1 and any number is that number
Multi-step expression - ANSWER: An expression or equation with more than two values
and two or more operators that requires multiple steps to be solved.
7+1-4
Multiplication - ANSWER: An operation used for the shortening of repeated addition
Product - ANSWER: The result of multiplying values
Multiplicative Inverse - ANSWER: The number you must multiply a given number by to
get 1. The numbers 5 and 1/5 represent this concept.
Division - ANSWER: splitting a number into equal parts
Quotient - ANSWER: the result of division
Exponent - ANSWER: A mathematical notation indicating the number of times a
quantity is multiplied by itself.
Base number - ANSWER: The number that is multiplied by itself when paired with an
exponent.
Order of Operations - ANSWER: A set of rules that defines the order in which
mathematical operations should be performed in a mathematical expression.
PEMDAS: Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction
