C784-Applied Healthcare Statistics
1. Rational number (aka Numbers that can be expressed as a fraction
'fractional')
2. Integers Solid positive and negative numbers
3. Real Numbers A real number is any number that can be placed on the number line,
whether that be negative or positive, fraction or decimal.
4. True or False? Any in- This statement is false. An integer can be negative, such as the number
teger is also a whole −100-100. −100-100 is not a whole number.
number.
5. Read all the op- d. all of the above. −17-17 is an integer, and all integers are also rational
tions before answer- numbers, which in turn are real numbers.
ing. −17-17 is... (a. an
integer b. a rational
number c. a real num-
ber d. all of the above.)
6. set In mathematics, a collection of numbers is referred to as a set*
7. Interval An interval is a set of numbers between two specified values. An interval
can be visualized as a segment of the number line. The segment of the
number line above that falls between 11 and 22 is called an interval*.
8. Discrete data Can only have certain, distinct values
Is "counted"
Contains unconnected points
In mathematics, whole numbers, integers, and even integers are all exam-
ples of discrete sets. These sets contain unconnected elements, with gaps
between each value.
In statistics, 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,
, C784-Applied Healthcare Statistics
and number of machines in operation, as these are distinct groups.
(Looking at another set of data, consider the number of cars someone
owns. It is not possible to own 3.43.4 cars; you either own three cars or
four. The number of cars someone owns is an example of a discrete set
of data, since the values are distinct, separate, and unconnected. Positive
integers* are an example of discrete data.)
9. Continuous data 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 of a continuous set.
This sets 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 statistics, some data sets 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 used.
(A set of data is continuous if it can hold any value within the set. An
example of continuous data might be age. It is possible to be 22.6722.67
years old. Real numbers are considered continuous.)
10. 00, 11, 22 is a set of False. This statement is false. 00, 11, and 22 are distinct consecutive
continuous data. True integers. There are numbers, such as 1.51.5, between them, so they are
or False? not continuous.
11. emperature is an ex- This statement is true. Temperature covers an entire interval of data and
ample of continuous can be "measured" rather than counted, so it is continuous.
data. True or False?
12. Timesheets log the Discrete. The days of the week are discrete and do not allow for values
days that a nurse between them.
1. Rational number (aka Numbers that can be expressed as a fraction
'fractional')
2. Integers Solid positive and negative numbers
3. Real Numbers A real number is any number that can be placed on the number line,
whether that be negative or positive, fraction or decimal.
4. True or False? Any in- This statement is false. An integer can be negative, such as the number
teger is also a whole −100-100. −100-100 is not a whole number.
number.
5. Read all the op- d. all of the above. −17-17 is an integer, and all integers are also rational
tions before answer- numbers, which in turn are real numbers.
ing. −17-17 is... (a. an
integer b. a rational
number c. a real num-
ber d. all of the above.)
6. set In mathematics, a collection of numbers is referred to as a set*
7. Interval An interval is a set of numbers between two specified values. An interval
can be visualized as a segment of the number line. The segment of the
number line above that falls between 11 and 22 is called an interval*.
8. Discrete data Can only have certain, distinct values
Is "counted"
Contains unconnected points
In mathematics, whole numbers, integers, and even integers are all exam-
ples of discrete sets. These sets contain unconnected elements, with gaps
between each value.
In statistics, 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,
, C784-Applied Healthcare Statistics
and number of machines in operation, as these are distinct groups.
(Looking at another set of data, consider the number of cars someone
owns. It is not possible to own 3.43.4 cars; you either own three cars or
four. The number of cars someone owns is an example of a discrete set
of data, since the values are distinct, separate, and unconnected. Positive
integers* are an example of discrete data.)
9. Continuous data 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 of a continuous set.
This sets 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 statistics, some data sets 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 used.
(A set of data is continuous if it can hold any value within the set. An
example of continuous data might be age. It is possible to be 22.6722.67
years old. Real numbers are considered continuous.)
10. 00, 11, 22 is a set of False. This statement is false. 00, 11, and 22 are distinct consecutive
continuous data. True integers. There are numbers, such as 1.51.5, between them, so they are
or False? not continuous.
11. emperature is an ex- This statement is true. Temperature covers an entire interval of data and
ample of continuous can be "measured" rather than counted, so it is continuous.
data. True or False?
12. Timesheets log the Discrete. The days of the week are discrete and do not allow for values
days that a nurse between them.
