K-U-D Unit 4: Statistics
By the end of the unit, I want my students to UNDERSTAND…
statistics are used to draw inferences about and to compare populations.
Know
By the end of this unit the student will know that:
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Random sampling guarantees that each
element of the population has an equal
opportunity to be selected in the sample
(SP.1)
A random sample must represent population
to make valid inferences (SP.1)
Representative samples can be used to
make valid inferences about a population.
(SP.1)
A random sample increases the likelihood of
obtaining a representative sample of a
population. (SP.1)
A random sample can be used to draw
inferences about unknown characteristics of
a population. (SP.2)
The measure of mean is independent of the
measure of variability. (SP.3)
Variability is responsible for the overlap of two
data sets (SP.3)
A set of data collected to answer a statistical
question has a distribution which can be
described by its center, spread, and overall
shape. (SP.4)
A measure of center for a numerical data set
summarizes all of its values with a single
number, while a measure of variation
describes how its values vary with a single
number. (SP.4)
Vocabulary:
Inference, sample, random sample, population,
Statistics, generalization, representative, biased
(SP.1)
Variation, prediction, sampling error, data,
characteristics (SP.2)
Variability, mean absolute deviation (SP.3)
outlier, interquartile range (SP.4)
Do
By the end of this unit the student will be able to:
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Determine if a sample is valid and
representative of a population. (SP.1) (DOK 2)
Use real-life situations to show the purpose for
using random sampling to make inferences
about a population. (SP.1) (DOK 2)
Make inferences about a population based
on a sample. (SP.2)(DOK 3)
Explore the variation in estimates or
predictions based on multiple samples of the
same data. (SP.2)(DOK 2)
Collect and use multiple samples of data to
answer question(s) about a population.
(SP.2) (DOK 2)
Display numerical data in plots on a number
line, including dot plots, stem-and-leaf plots,
histograms, and box plots. (SP.3) (DOK 2)
Use visual representations to compare and
contrast numerical data from two
populations using measures of variability and
center. (SP.3) (DOK 3)
Make comparative inferences about two
populations using measures of center and
variability. (SP.4) (DOK 3)
SLM Unit 4: Statistics
Key Learning
Statistics are used to draw inferences about and to compare populations
Unit EQ
How are statistics used to draw inferences about and to compare populations?
Concept
Concept
Sampling Populations
(SP.1) (SP.2)
Comparing Populations
(SP.3) (SP.4)
Lesson EQ’s
Lesson EQ’s
1. How can data be collected and used
to draw inferences about a
population?
1. What are measures of center?
2. How do you determine if a sample
represents valid results?
3. What measures are used to compare
populations?
2. What are measures of variation?
4. How can graphs and tables be used to
compare data?
Vocabulary
Biased, generalization, inference, population,
prediction, sample, statistics, representative,
sampling error, data, characteristics,
convenience sample, survey, simple random
sample, systematic random sample, unbiased,
voluntary response sample
Vocabulary
Variation, data, characteristics, Variability, mean
absolute deviation, outlier, interquartile range,
double box plot, double dot plot,