WorksheetsAP Statistics Vocab and Notations
Total questions: 63
Worksheet time: 26mins
sample mean
x
μ
σ
p̂
n
population mean
x
μ
p
p̂
n
sample standard deviation
s
x
σ
p̂
μ
population standard deviation
s
x
σ
p̂
µ
sample proportion
s
x
p
p̂
µ
Sample Size
s
n
p
p̂
µ
Population Size
s
N
P
p̂
µ
population proportion
s
x
p
p̂
µ
sample variance
s
s2
σ
σ2
μ2
population variance
s
s2
σ
σ2
μ2
A ____________ variable is one that takes on numerical values.
Examples: age, weight, salary, GPA, temperature, etc.
categorical
random
minimum
quantitative
simple
A ________ variable is one one that represents characteristics or qualities rather than numerical value
Examples: dog breed, hair color, high school attended, political affiliation, etc.
categorical
random
minimum
quantitative
simple
The lowest value
maximum
minimum
Q1
Q3
IQR
The median of the lower half of the values.
maximum
minimum
Q1
Q3
IQR
The median of the upper half of the values.
maximum
minimum
Q1
Q3
IQR
Q3-Q1
maximum
minimum
Q1
Q3
IQR
Maximum-Minimum
range
median
mode
mean
IQR
The arithmetic average of the values.
range
median
mode
mean
IQR
The middle value.
range
median
mode
mean
IQR
The value or values that occur most often.
range
median
mode
mean
IQR
Values that are more than 1.5 IQR’s above Q3 or 1.5 IQR’s below Q1.
gaps
standard deviation
variance
mean
outliers
The square root of the variance. It describes the spread of values in the model.
expected value
standard deviation
mean
observed value
outliers
Which can you use to describe the center of a distribution of data?
range
mean
median
standard deviation
variance
Which can you use to describe the shape of a distribution of data?
symmetric
skewed
bell-shaped
unimodal
bimodal
Which can you use to describe the spread of a distribution of data?
variance
IQR
range
standard deviation
unimodal
A relationship between two variables that results in them being statistically dependent.
Correlation
Confounding
Linear Regression
Residuals
Association
A measure of the strength and direction of the linear relationship between two quantitative variables.
Correlation
Confounding
Linear Regression
Residuals
Association
When we are unsure which variable is causing an effect.
Correlation
Confounding
Linear Regression
Residuals
Association
The differences between observed and predicted values.
Correlation
Confounding
Linear Regression
Residuals
Association
Correlation Coefficient
c
x
r
r2
μ
Coefficient of Determination
c
x
r
r2
μ
Types of Regression Models
Power
Linear
Logarithmic
Quadratic
Exponential
A sampling approach in which entire groups are chosen at random.
Cluster Sample
Systematic Sample
Stratified Random Sample
Simple Random Sample
Convenience Sample
A sample of individuals who are available.
Cluster Sample
Systematic Sample
Stratified Random Sample
Simple Random Sample
Convenience Sample
A sample of size 𝑛 in which each set of 𝑛 elements has an equal chance of being selected.
Cluster Sample
Systematic Sample
Stratified Random Sample
Simple Random Sample
Convenience Sample
The population is divided into subgroups and random samples are taken from each subgroup.
Cluster Sample
Systematic Sample
Stratified Random Sample
Simple Random Sample
Convenience Sample
Every 10th person is chosen.
Cluster Sample
Systematic Sample
Stratified Random Sample
Simple Random Sample
Convenience Sample
Occurs when sample participants are self-selected volunteers.
Undercoverage Bias
Response Bias
Time Bias
Voluntary Response Bias
Nonresponse Bias
Occurs when some members of the population are inadequately covered in a sample.
Undercoverage Bias
Response Bias
Time Bias
Voluntary Response Bias
Nonresponse Bias
Occurs when those unwilling or unable to take part in a research study are different from those who do.
Undercoverage Bias
Response Bias
Time Bias
Voluntary Response Bias
Nonresponse Bias
A descriptive measure (using a numerical value) of the population.
Sample
Statistic
Random
Parameter
Variable
A descriptive measure (using a numerical value) of a sample.
Sample
Statistic
Random
Parameter
Variable
How is the graph distributed?
Normally
Skewed to the Left
Skewed to the Right
Uniform
How is the graph distributed?
Normally
Skewed to the Left
Skewed to the Right
Uniform
Population Parameters
x, μ, s, σ, β
μ, σ, ρ, β, P
x, s, r, b, p∧
μ, σ, ρ, b, S
μ, σ, r, b, p∧
Sample Statistics
x, μ, s, σ, β
μ, σ, ρ, β, P
x, s, r, b, p∧
μ, σ, ρ, b, S
μ, σ, r, b, p∧
A random variable that can take any numeric value within a range of values.
Simple Random Variable
Bimodal Random Variable
Discrete Random Variable
Quantitative Random Variable
Continuous Random Variable
A random variable that can take a number of distinct outcomes.
Simple Random Variable
Bimodal Random Variable
Discrete Random Variable
Quantitative Random Variable
Continuous Random Variable
A model that tells us how many n trials are required to achieve the first success.
Binomial Probability Model
Quantitative Probability Model
Random Probability Model
Geometric Probability Model
Arithmetic Probablity Model
A model that tells us the number of successes in 𝑛 trials.
Binomial Probability Model
Quantitative Probability Model
Random Probability Model
Geometric Probability Model
Arithmetic Probablity Model
As the size of the sample n increases, the model becomes more Normal.
Law of Large Numbers
Central Limit Theorem
10% Condition
Binomial Rule
Sampling Variability
As a sample size increases, the mean of the sample will more closely resemble the mean of the population.
Law of Large Numbers
Central Limit Theorem
10% Condition
Binomial Rule
Sampling Variability
The statement or claim being made (which we are testing).
Null Hypothesis
Alternative Hypothesis
Parameter
Statistic
Variable
Statement that we are trying to prove and which is accepted if the claimed statement is rejected.
Null Hypothesis
Alternative Hypothesis
Parameter
Statistic
Variable
The probability that the observed statistic value (or a more extreme value) could occur in a sampling distribution.
power
critical value
t statistic
z statistic
p-value
The probability that the test correctly rejects a false null hypothesis.
power
critical value
t statistic
z statistic
p-value
Fail to reject the null hypothesis when it is false.
Type I Error
Type II Error
Power
Bias
Hypothesis
Fail to reject the null hypothesis when the alternative is true.
Type I Error
Type II Error
Power
Bias
Hypothesis
Reject the null hypothesis when it was true.
Type I Error
Type II Error
Power
Bias
Hypothesis
