COMPREHENSIVE QUESTIONS AND ANSWERS( GRADED
A+)
Rational number (aka 'fractional') - (correct answer) Numbers that can be expressed
as a fraction
Integers - (correct answer) Solid positive and negative numbers
Real Numbers - (correct answer) A real number is any number that can be placed
on the number line, whether that be negative or positive, fraction or decimal.
True or False? Any integer is also a whole number. - (correct answer) This
statement is false. An integer can be negative, such as the number −100-100. −100-100
is not a whole number.
Read all the options before answering. −17-17 is... (a. an integer b. a rational number c.
a real number d. all of the above.) - (correct answer) d. all of the above. −17-17 is an
integer, and all integers are also rational numbers, which in turn are real numbers.
set - (correct answer) In mathematics, a collection of numbers is referred to as a
set*
Interval - (correct answer) 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*.
Discrete data - (correct answer) 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 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, 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.)
Continuous data - (correct answer) 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.)
00, 11, 22 is a set of continuous data. True or False? - (correct answer) False. This
statement is false. 00, 11, and 22 are distinct consecutive integers. There are numbers,
such as 1.51.5, between them, so they are not continuous.
emperature is an example of continuous data. True or False? - (correct answer)
This statement is true. Temperature covers an entire interval of data and can be
"measured" rather than counted, so it is continuous.
Timesheets log the days that a nurse works each week. Does the week's timesheet give
data that is discrete or continuous? - (correct answer) Discrete. The days of the
week are discrete and do not allow for values between them.
A graph shows the efficacy of a particular drug at different dosages. Is this data discrete
or continuous? - (correct answer) Discrete. The graph shows discrete drug dosages,
not all possible dosages, between two numbers.
During a physical, the nurse records the patient's age, weight, and height. Are these
data discrete or continuous? - (correct answer) Continuous. These are all
continuous measurements for which it is possible to have fractional parts.
<- (correct answer) "less than"
>- (correct answer) "greater than"
≤- (correct answer) less than or equal to
≥- (correct answer) greater than or equal to
Which of the following is the correct translation of −3<y<4-3<y<4? - (correct answer)
−3-3 is less than y which is less than 4 (Both of the << symbols mean "less than," so the
correct translation is −3-3 is less than y which is less than 4.)
How would "w is less than or equal to 9, but greater than or equal to 5" be written? -
(correct answer) 9≥w≥5 (The answer is b. Both ≥≥ symbols mean "greater than or