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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,
teger is also a whole such as the number 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 in-
tions before answer- tegers are also rational numbers, which in turn are
ing. 17-17 is... (a. an real numbers.
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 speci-
fied values. An interval can be visualized as a seg-
ment 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 examples of discrete sets. These
sets contain unconnected elements, with gaps be-
tween each value.
In statistics, some data sets will be discrete. Exam-
ples 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 dis-
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tinct 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 ex-
ample of a continuous set. This sets contains con-
tinuous 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. Ex-
amples 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
continuous data. True distinct consecutive integers. There are numbers,
or False? such as 1.51.5, between them, so they are not con-
tinuous.
11. emperature is an ex- This statement is true. Temperature covers an entire
ample of continuous interval of data and can be "measured" rather than
data. True or False? counted, so it is continuous.