Download AP Statistics Learning Targets for Unit 5 Distributions and Random

AP Statistics Learning Targets for Unit 5 Distributions and Random Variables
5a. I can calculate mean, variance and standard deviation for independent random variables. (Including
combinations and linear transformations.)
4
3
2
1
Complete each of the
following accurately:
Complete 3 of the following:
Complete 2 of the following:
Complete 1 of the following:
Identify independent random
variables.
Identify independent random
variables.
Identify independent random
variables.
Calculate the mean and
standard deviation of
independent random
variables.
Calculate the mean and
standard deviation of
independent random
variables.
Calculate the mean and
standard deviation of
independent random
variables.
Calculate the mean of the sum
or difference of independent
random variables or
transformed random
variables.
Calculate the mean of the sum
or difference of independent
random variables or
transformed random
variables.
Calculate the mean of the sum
or difference of independent
random variables or
transformed random
variables.
Calculate the mean of the sum
or difference of independent
random variables or
transformed random
variables.
Calculate the standard
deviation and variance for the
sum or difference of
independent random
variables or transformed
random variables.
Calculate the standard
deviation and variance for the
sum or difference of
independent random
variables or transformed
random variables.
Calculate the standard
deviation and variance for the
sum or difference of
independent random
variables or transformed
random variables.
Calculate the standard
deviation and variance for the
sum or difference of
independent random
variables or transformed
random variables.
Identify independent random
variables.
Calculate the mean and
standard deviation of
independent random
variables.
5b. I can recognize geometric and binomial settings and calculate binomial and geometric probabilities.
4
3
2
1
Accurately determine
whether a setting is binomial
or geometric.
Complete 3 of the following
accurately:
Complete 2 of the following
with general accuracy:
Complete 1 of the following
with general accuracy:
Accurately determine
whether a setting is binomial
or geometric.
Accurately determine
whether a setting is binomial
or geometric.
Accurately determine
whether a setting is binomial
or geometric.
Calculate probabilities given a
binomial situation for one
value of x.
Calculate probabilities given a
binomial situation for one
value of x.
Calculate probabilities given a
binomial situation for one
value of x.
Calculate probabilities given a
binomial situation both for
cumulative values of x.
Calculate probabilities given a
binomial situation both for
cumulative values of x.
Calculate probabilities given a
binomial situation both for
cumulative values of x.
Calculate probabilities given a
geometric situation both for
one value of x and cumulative
values of x.
Calculate probabilities given a
geometric situation both for
one value of x and cumulative
values of x.
Calculate probabilities given a
geometric situation both for
one value of x and cumulative
values of x.
Calculate probabilities given a
binomial situation for one
value of x.
Calculate probabilities given a
binomial situation both for
cumulative values of x.
Calculate probabilities given a
geometric situation both for
one value of x and cumulative
values of x.
5c. I can calculate and interpret the mean and standard deviation and describe the shape for probability
distributions including (expected value), binomial and geometric situations.
4
Calculate each of the
following accurately:
3
Calculate 3 of the following
with accurately:
2
Calculate 2 of the following
with general accuracy:
1
Calculate 1 of the following
with general accuracy:
Given a binomial situation,
determine the mean and
standard deviation and
interpret them in context.
Given a binomial situation,
determine the mean and
standard deviation and
interpret them in context.
Given a binomial situation,
determine the mean and
standard deviation and
interpret them in context.
Given a binomial situation,
determine the mean and
standard deviation and
interpret them in context.
Given a geometric situation
determine the mean and
interpret it in context.
Given a geometric situation
determine the mean and
interpret it in context.
Given a geometric situation
determine the mean and
interpret it in context.
Given a geometric situation
determine the mean and
interpret it in context.
Given a probability
distribution, determine the
mean and standard
deviation and interpret
them in context.
Given a probability
distribution, determine the
mean and standard
deviation and interpret
them in context.
Given a probability
distribution, determine the
mean and standard
deviation and interpret
them in context.
Given a probability
distribution, determine the
mean and standard
deviation and interpret
them in context.
Describe what a geometric
or binomial distribution will
look like including shape, n
and p.
Describe what a geometric
or binomial distribution will
look like including shape, n
and p.
Describe what a geometric
or binomial distribution will
look like including shape, n
and p.
Describe what a geometric
or binomial distribution will
look like including shape, n
and p.
5d. I can explain the concept of a sampling distribution, and the central limit theorem including
requirements and calculating standard error.
4
Understand and explain the
concept of a sampling
distribution.
Understand and explain
what the Central Limit
Theorem says – and what it
allows us to do.
Check requirements to use
the central limit theorem
for both means and
proportions.
Calculate the standard
error of a sampling
distribution for both means
and proportions.
3
Complete 3 of the following
accurately:
2
1
Complete 2 of the following Complete 1 of the following
with general accuracy:
with general accuracy:
Understand and explain the
concept of a sampling
distribution.
Understand and explain the
concept of a sampling
distribution.
Understand and explain the
concept of a sampling
distribution.
Understand and explain
what the Central Limit
Theorem says – and what it
allows us to do.
Understand and explain
what the Central Limit
Theorem says – and what it
allows us to do.
Understand and explain
what the Central Limit
Theorem says – and what it
allows us to do.
Check requirements to use
the central limit theorem
for both means and
proportions.
Check requirements to use
the central limit theorem
for both means and
proportions.
Check requirements to use
the central limit theorem
for both means and
proportions.
Calculate the standard
error of a sampling
distribution for both means
and proportions.
Calculate the standard
error of a sampling
distribution for both means
and proportions.
Calculate the standard
error of a sampling
distribution for both means
and proportions.
5e. I can calculate probabilities from a Sampling Distribution.
4
Calculate and interpret
probabilities from sample
means (above a value,
below a value and between
values).
Calculate and interpret
probabilities from sample
proportions (above a value,
below a value and between
values.
3
With general accuracy,
calculate and interpret
probabilities from sample
means.
With general accuracy,
calculate and interpret
probabilities from sample
proportions.
2
With general accuracy,
either:
calculate and interpret
probabilities from sample
means.
- or calculate and interpret
probabilities from sample
proportions.
1
With general accuracy,
calculate or interpret
probabilities either from
sample means or sample
proportions.