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PAPER TWO
research methods
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Cards (58)
What does the symbol "=" represent in mathematics?
Equality
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What does the symbol ">" signify?
Greater than
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What does the symbol "<" signify?
Less than
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What does the symbol "≈" represent?
Approximately
equal
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What does "proportional to" indicate in mathematics?
One
quantity
changes with another
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What is the meaning of "standard deviation" in data presentation?
It measures
data dispersion
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What are the different ways to present quantitative data?
Tables
: data in columns and rows
Bar charts
:
categories
on x-axis,
frequency
on y-axis
Histograms
: bars touch,
continuous data
Line graphs
: show changes over time
Scattergrams
:
correlation analysis
with continuous data
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What characterizes a normal distribution?
Symmetrical
shape with
mean
,
median
, mode at center
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In a negatively skewed distribution, where is the mean located?
To the left of the
median
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What does a positively skewed distribution indicate about the data?
Most
data points
are concentrated on the
left
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What is the relationship between mean, median, and mode in a negatively skewed distribution?
Mode
>
Median
>
Mean
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How do you convert a decimal to a percentage?
Multiply
by 100
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What is the significance of significant figures in a number?
They indicate
precision
of measurement
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What is the purpose of standard form in mathematics?
To express very
large
or
small
numbers
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How would you express the number 320000 in standard form?
3.2 x
10^5
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How would you express the number 0.000032 in standard form?
3.2 x
10^-5
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What are the steps to reduce a fraction?
Find the
greatest common divisor
(
GCD
)
Divide both numerator and denominator by GCD
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What are the types of ratios in mathematics?
Part-to-part ratio
Part-to-whole ratio
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What does "decimal places" refer to?
Digits to the right of the
decimal point
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How many significant figures does the number 0.002473691 have?
Three
significant figures
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How do you round the number 23,450 to two significant figures?
23,000
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What does the term "common denominator" refer to in fractions?
A shared multiple of the
denominators
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What is the meaning of "part-to-part ratio"?
Comparison between
two parts
of a whole
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What is the meaning of "part-to-whole ratio"?
Comparison
of
one part
to
the
entire whole
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What does "mean" refer to in statistics?
The
average
of a set of
numbers
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What does "median" refer to in statistics?
The
middle
value
when
data
is
ordered
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What does "mode" refer to in statistics?
The
most
frequently
occurring
value
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What does "standard deviation" measure in a dataset?
How
spread
out
the
values
are
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What is the significance of a histogram in data presentation?
It shows
frequency distribution
of
continuous data
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What does a line graph represent?
Changes over time with
data points
connected
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What is the purpose of a scattergram?
To analyze
correlation
between two
variables
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What does a negatively skewed distribution indicate about data points?
Most data points are concentrated on the
right
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What does a positively skewed distribution indicate about data points?
Most data points are concentrated on the
left
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What is the relationship between mean, median, and mode in a positively skewed distribution?
Mean
>
Median
>
Mode
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What does the term "decimal" refer to in mathematics?
A fraction of a whole expressed in
base 10
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What does "significant figures" indicate in a number?
The
precision
of the number's measurement
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How do you express a very small number in standard form?
Using a
negative exponent
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How do you express a very large number in standard form?
Using a positive
exponent
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What does the term "power of ten" refer to?
Exponent
indicating the number of
zeros
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How do you convert a fraction to a decimal?
Divide the
numerator
by the
denominator
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