MATH 225N STATISTICS WEEK 6 FINAL EXAM 25
QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL
EXAM
whole numbers - ANSWER: A number that we are familiar with from grade school.
Numbers like 0,1,2,3,4,...
Integers - ANSWER: Numerical figures that do not contain a fractional or decimal
component. Can either be positive or negative. Numbers like 3,2,1,0,-1,-2,-3
Rational Numbers - ANSWER: Can be expressed by a fraction. Numbers like 1/5,
-.013, and -3/101
Real numbers - ANSWER: A group that includes integers and whole numbers as well
as fractions and decimals. Any number that can be put on a number line.
Discrete - ANSWER: Can only have certain, distinct values
Is "counted"
Contains unconnected points
In math, whole numbers, integers, and even integers are all examples of discreet
sets. These sets contain unconnected elements, with gaps between each value
In stats, some data sets will be discrete. Examples of discrete data sets are the
number of adults in a household, the results of rolling two dice, and number of
machines in operation, as these are distinct groups.
Continuous - ANSWER: Can have any value within an interval
Is "measured"
Doesn't not have clear boundaries between elements or data points
In math, the set of real numbers is an example of a continuous set. This set contains
continuous 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 continuous with no gaps, so is the set of real numbers.
In stats, some data set will be continuous. Examples of continuous data sets are
temperature, distance,and time, as the set of possible values within these groups is
continuous. An element in these groups can hold any real number within a certain
interval, dependent upon the scale being used.
Superscript - ANSWER: A symbol written above and immediately to the left or right
of another character
Exponents - ANSWER: Sometimes called a power, it is a quantity that represents
repeated multiplication.
order of operations - ANSWER: A set of rules that defines the order in which
mathematical operations should be performed.
,Base number - ANSWER: The number multiplied by itself when paired with an
exponent. For example, in 8 to the third power, 8 would be the base number.
Greatest comon factor (GCF) - ANSWER: The greatest common factor of any two
integers a and b is the greatest number that is both a factor of a and b
Estimation - ANSWER: Approximating a value for a calculation
Rational number - ANSWER: A rational number is a number that can be written as a
ratio of integers, which means it can be written as a fraction
Factor tree - ANSWER: A graphical method used to identify the prime factorization of
an integer.
Perfect square - ANSWER: The product of any integer with itself yields a perfect
square. So, a number is a perfect square if it can be written as the square of an
integer. For example, 9 is a perfect square because 3 * 3 = 9.
Operation - ANSWER: In mathematics, an operation is a procedure which generates a
new value from one or more operands, or mathematical values
Composite number - ANSWER: A number with more factors than just one and itself.
Identify property - ANSWER: The property that zero can be added to any number
without changing the value of the number. Likewise 1 can be multiplied by any
number without changing the value of the number
Radicals - ANSWER: The number within the radical sign whose square root is to be
taken
Real number - ANSWER: Any numbers on the number line. Real numbers include
zero, negative and positive integers, fractions, and decimals.
Data - ANSWER: A set of values of qualitative or quantitative variables; pieces of data
are individual pieces of information
Factorization - ANSWER: The process of determining the prime factors of a
composite number.
prime factorization - ANSWER: Determining the set of prime numbers whose product
is the original integer.
Multiplication - ANSWER: In mathematics, multiplication is the act of adding the
same number multiple times. Multiplication is often denoted by the dot sign, ·.
Negative square root - ANSWER: The negative square root of a perfect square. For
example, -6 is the negative square root of 36.
, Negative number - ANSWER: A number whose value is less than zero. On the number
line, negative numbers are to the left of zero.
Operators - ANSWER: A word or symbol (such as + or -) that indicates an operation
between values.
Principle square root - ANSWER: The positive square root of a number. For example,
the principle square root of 36 is 6.
Commutative - ANSWER: The property that the order of the numbers under the
operation does not change the result. Addition and multiplication are commutative:
a + b = b + a and ab = ba.
Difference - ANSWER: The result of one number being subtracted from another
number.
Addition - ANSWER: Finding the total of two or more values.
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.
Associative property - ANSWER: The associative property holds that under certain
operations in a multi-step expression, the computations may be done in any order.
Commonly represented as (a + b) + c = a + (b + c). Addition and multiplication are
associative.
Parentheses - ANSWER: In mathematics, parentheses () are used to separate
operations within an expression. Any operations that lie within parentheses should
be performed first.
Factor - ANSWER: An integer that divides another integer. We say an integer,x, is a
factor of another integer, y, if the quotient y/x is also equal to an integer.
Radical sign - ANSWER: The symbol which indicates to take the square root of the
number that follows.
Prime number - ANSWER: A number with only two factors: the number itself and
one.
Square root - ANSWER: a number that produces a specified quantity when multiplied
by itself
Division - ANSWER: Splitting values into equal parts or groups.
Additive inverse - ANSWER: Two numbers equidistant from 0 on a number line
whose sum is 0. For example, 3 and -3 are additive inverses.
QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL
EXAM
whole numbers - ANSWER: A number that we are familiar with from grade school.
Numbers like 0,1,2,3,4,...
Integers - ANSWER: Numerical figures that do not contain a fractional or decimal
component. Can either be positive or negative. Numbers like 3,2,1,0,-1,-2,-3
Rational Numbers - ANSWER: Can be expressed by a fraction. Numbers like 1/5,
-.013, and -3/101
Real numbers - ANSWER: A group that includes integers and whole numbers as well
as fractions and decimals. Any number that can be put on a number line.
Discrete - ANSWER: Can only have certain, distinct values
Is "counted"
Contains unconnected points
In math, whole numbers, integers, and even integers are all examples of discreet
sets. These sets contain unconnected elements, with gaps between each value
In stats, some data sets will be discrete. Examples of discrete data sets are the
number of adults in a household, the results of rolling two dice, and number of
machines in operation, as these are distinct groups.
Continuous - ANSWER: Can have any value within an interval
Is "measured"
Doesn't not have clear boundaries between elements or data points
In math, the set of real numbers is an example of a continuous set. This set contains
continuous 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 continuous with no gaps, so is the set of real numbers.
In stats, some data set will be continuous. Examples of continuous data sets are
temperature, distance,and time, as the set of possible values within these groups is
continuous. An element in these groups can hold any real number within a certain
interval, dependent upon the scale being used.
Superscript - ANSWER: A symbol written above and immediately to the left or right
of another character
Exponents - ANSWER: Sometimes called a power, it is a quantity that represents
repeated multiplication.
order of operations - ANSWER: A set of rules that defines the order in which
mathematical operations should be performed.
,Base number - ANSWER: The number multiplied by itself when paired with an
exponent. For example, in 8 to the third power, 8 would be the base number.
Greatest comon factor (GCF) - ANSWER: The greatest common factor of any two
integers a and b is the greatest number that is both a factor of a and b
Estimation - ANSWER: Approximating a value for a calculation
Rational number - ANSWER: A rational number is a number that can be written as a
ratio of integers, which means it can be written as a fraction
Factor tree - ANSWER: A graphical method used to identify the prime factorization of
an integer.
Perfect square - ANSWER: The product of any integer with itself yields a perfect
square. So, a number is a perfect square if it can be written as the square of an
integer. For example, 9 is a perfect square because 3 * 3 = 9.
Operation - ANSWER: In mathematics, an operation is a procedure which generates a
new value from one or more operands, or mathematical values
Composite number - ANSWER: A number with more factors than just one and itself.
Identify property - ANSWER: The property that zero can be added to any number
without changing the value of the number. Likewise 1 can be multiplied by any
number without changing the value of the number
Radicals - ANSWER: The number within the radical sign whose square root is to be
taken
Real number - ANSWER: Any numbers on the number line. Real numbers include
zero, negative and positive integers, fractions, and decimals.
Data - ANSWER: A set of values of qualitative or quantitative variables; pieces of data
are individual pieces of information
Factorization - ANSWER: The process of determining the prime factors of a
composite number.
prime factorization - ANSWER: Determining the set of prime numbers whose product
is the original integer.
Multiplication - ANSWER: In mathematics, multiplication is the act of adding the
same number multiple times. Multiplication is often denoted by the dot sign, ·.
Negative square root - ANSWER: The negative square root of a perfect square. For
example, -6 is the negative square root of 36.
, Negative number - ANSWER: A number whose value is less than zero. On the number
line, negative numbers are to the left of zero.
Operators - ANSWER: A word or symbol (such as + or -) that indicates an operation
between values.
Principle square root - ANSWER: The positive square root of a number. For example,
the principle square root of 36 is 6.
Commutative - ANSWER: The property that the order of the numbers under the
operation does not change the result. Addition and multiplication are commutative:
a + b = b + a and ab = ba.
Difference - ANSWER: The result of one number being subtracted from another
number.
Addition - ANSWER: Finding the total of two or more values.
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.
Associative property - ANSWER: The associative property holds that under certain
operations in a multi-step expression, the computations may be done in any order.
Commonly represented as (a + b) + c = a + (b + c). Addition and multiplication are
associative.
Parentheses - ANSWER: In mathematics, parentheses () are used to separate
operations within an expression. Any operations that lie within parentheses should
be performed first.
Factor - ANSWER: An integer that divides another integer. We say an integer,x, is a
factor of another integer, y, if the quotient y/x is also equal to an integer.
Radical sign - ANSWER: The symbol which indicates to take the square root of the
number that follows.
Prime number - ANSWER: A number with only two factors: the number itself and
one.
Square root - ANSWER: a number that produces a specified quantity when multiplied
by itself
Division - ANSWER: Splitting values into equal parts or groups.
Additive inverse - ANSWER: Two numbers equidistant from 0 on a number line
whose sum is 0. For example, 3 and -3 are additive inverses.
