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Stats - Midterms
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Statistics
-
Science
of collecting, organizing, analyzing and interpreting data in order to make decisions
Data - Information coming from
observations, counts, measurements
or
responses
Population
- All members that forms a data set
Sample
-
Few members of
the population
Sample
- Taken to represent certain traits of population
Parameter - Value obtained from
population
Statistic
- Value obtained from
Sample
Descriptive Statistics - uses
date
to provide descriptions of the
population
Descriptive Statistics
- Common tools are
Measure of Central Tendency
and Variability
Inferential Statistics
- Involves using sample data to draw conclusion about a
population
Inferential Statistics
- Common tools are
Hypothesis testing
and Regression Analysis
Qualitative
Data -
Non-numerical
entries
Quantitative Data -
Numerical
measurements
Discrete Variable -
Countable
Continuous
Variable -
Measurable
Nominal - Calculated using
names
,
qualitative
only
Ordinal
- Arranged in order but
difference
in data are not meaningful
Interval
- A
zero
entry represents a position on a scale; the entry is not inherent zero
Interval
-
zero
may indicate no difference instead of absolute absence
Ratio
- Similar to interval but zero entry is
meaning
Ratio of
two
data values can be formed so one data value can be expressed as a
ratio
When a value of
zero
is present, it indicates that
nothing
is actually there
Observational - Observes and
measures
part of a
population
Experimental -
Treatment
is applied in part of population
Simple
Random
Sample - Each have an qual
chance
of being selected
Stratified
Sample - Population is divided into
strata
then take a sample from each stratum
Cluster Sample
- Population is divided into
strata
then select one strata as the sample
Systematic
Sample - Select a starting point and take every
n-th
piece of data
Convenience Sample
-
Selecting
any member who are convenient and available
Central Tendency
- Measures, describes the middle or center of data. Also a value to represent a set of scores/frequencies
Mean
/Average [x̄] - The
given
values in a distribution divided by the number of observations
Median
[
md
] Measures the centered of an ordered data set by dividing it into two equal parts
Mode [
mo
] - Data entry that occurs with the
greatest frequency
Measure of Variability
- Measure of
spread
, number that measures how spread out a data set is along the x-axis
Dispersion - Difference between the actual
value
and
average
value
Range
- Difference of the highest and lowest
value
in the data set
Variance
- Mathematical expectation of the average
squared
deviations from the mean
Standard Deviation - Used to tell how measurements for a group are
spread out
from the
average
Standard
Deviation - Calculated as the square root of
variance
Measures of Position
- Also called
Measured of Relative Standing
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