STATISTICS AND PROBABILITY UNIT 9
SP.1.
Day 89 Statistical questions
Recognize a statistical
Real World Video: “Studying Cheetahs”
question as one that
 What are some questions that a scientist might ask
anticipates variability in
when collecting information about cheetahs?
the data related to the
o How much does a certain cheetah weigh on
question and accounts for
Monday?
it in the answers.
o How much does each cheetah in a group of
cheetahs weigh?
o How would you answers to these questions
be different?
SP.5
Vocabulary (see graphic organizer on p. 449H to
introduce some of the vocabulary – include vocab from
ch. 13 also) One sheet: “Represent Data” on circle in
web: around web - frequency table, histogram,
mode, outlier, median, mean, dot plot
Summarize numerical
data sets in relation to
their context, such as by:
2nd sheet: “Data Distribution: on circle in web:
around web – lower quartile, upper quartile, box
and whisker, MAD, Range, distribution,
interquartile range.
a. Reporting the
number of observations
Can also do web of “Measures of Variability” and
“Measures of Center”
b. Describing the nature
of the attribute under
investigation, including
how it was measured and
its units of measurement.
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Data: a set of information collected about people or
things
Statistical question: question that asks about a set of
data that can vary
GO 12.1 Recognize Statistical Questions
Go 12.2 Describe Data Collection
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Unlock the problem together
Work in Go Math 12.1 and 12.2
Show examples and non-examples of statistical
questions. Discuss them one at a time. Students will
develop criteria for statistical questions. Discuss if
numerical data can be gathered from each.
Discuss how much data would need to be collected
before you had “enough.
Do the following collecting data activity OR
March Madness.
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SP.4
Display numerical data in
pots on a number line,
including dot plots,
histograms, and box
plots.
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“What do you wonder about sixth grade students at
Greenwood?” In groups, discuss several ideas and
whether or not numerical data can be gathered for
each.
Discuss how you would collect the data.
Each student will choose a numerical question.
Homework:
o Using their choice for numerical data, write a
4 sentence paragraph organizing it into these
ideas:
 The population from which they will
collect (sixth graders)
 The materials they will need to collect
the data
 As they collect data, how they will
organize it
 Step-by-step details about how they
will collect the data
Homework: p. 223, 224
MARCH MADNESS!!!!
Day 90 Represent data with dot plot and
histograms (both are Measures of Center and
Variability) and talk about shape of graph
GO 12.3 & 12.4
Dot Plots and Frequency Tables
Vocabulary
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SP.5
Summarize numerical
sets in relation to their
context, such as by:
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Dot plot: number line with marks that show the
frequency of data
Frequency: number of times a data value occurs
Frequency table: shows the number of times each
data value or range of values occurs
Relative frequency table: shows the percent of time
each piece of data or group of data occurs
Histogram: bar graph that shows the frequency of
data in intervals
TASK (GO) “Hannah’s Training for Walkathon”
Dot plot info and then histogram using same data
Discuss what the shape of each graph tells us about
the data
Homework: 227 – 230
c. giving quantitative
measures of center
(median and/or mean)
and variability
(interquartile range
and/or mean absolute
deviation), as well as
describing any overall
pattern and any striking
deviations from the
overall pattern with
reference to the context
in which the data were
gathered.
SP.2
Understand that a set of
data collected to answer
a statistical questions has
a distribution which an
be describe by its center,
spread, and overall
shape.
SP.3
Recognize that 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.
Mastery Connect: Line Plot and Histogram
Day 91 Mean, Median, Mode (Measures of Center),
Range (Measure of Variability)
Can use GO 12.5, 12.6, 12.7
Vocabulary
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measure of center: single value used to describe the
middle of a data set.
Mean: sum of the data items divided by the number
of data items
Median: the middle value when the data are written
in order
Mode: the data value or values that occur most often
Range: the difference between the greatest value
and least value in a data set
Measure of variability: a single value used to
describe how spread out a set of data values are
“Hey Diddle, Diddle” Song
Discuss how to find each one (mean, med, mode,
range)
Use data from previous day and find mean, median,
mode, and range
Card game: (Directions in dropbox under math).
Students get in groups of 4 or 5. Each student draws
2 cards and puts them side-by-side to form a 2-digit
number. These numbers for the group become data
set. Find mean, median, mode, and range for data
set.
Homework: sheet
Day 92 Mean, Median, Mode, Range
SP.5
Summarize numerical
data sets in relation to
their context, such as by:
d. Relating the choice of
measures of center and
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“Hey Diddle, Diddle” song
Put definitions in journal
Dice game: Different groups of 5 or 6. Each student
creates one 2-digit number by shaking 2 dice. These
numbers become the data set. Find the mean,
median, mode, and range.
Homework sheet
variability to the shape of
the data distribution and
the context in which the
data were gathered.
Day 93 Mean, Median, Mode, Range
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“Hey Diddle, Diddle” song
PowerPoint review
Mean, Median, Mode, Range review
Mastery Connect: Mean, median, mode
Day 94 Box Plot and Interquartile Range
(Measures of Variability)
SP.4
Vocabulary
Display numerical data in
plots on a number line,
including dot plots,
histograms, and box
plots.
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Lower quartile: the median of the lower half of a
data set
Upper quartile: the median of the upper half of a
data set
Interquartile range: the difference between the
upper quartile and the lower quartile of a data set
Box plot: type of graph that shows how data are
distributed by using the least value, the lower
quartile, the median, the upper quartile, and the
greatest value
GO 13.2 Quartiles and box & whisker
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Use jean data (or Jazz/Laker data from NCTM
magazine)
Find the median – shows center
Lower and Upper quartiles and box & whisker
Discuss how data varies
o Use data from example on p. 496
o Box and whisker plot
Use Hannah’s walkathon data
Make box & whisker plot
p. 497 do #1, 2, 4 – 7, 8 (do some together)
Mastery Connect: Box and Whisker Plot
SP.5
Day 95 Patterns in Data
Summarize numerical
data sets in relation to
their content, such as by:
Real World Video – Understanding Hurricanes
c. Giving quantitative
measures of center
(median and/or mean)
and variability
(interquartile range
and/or mean absolute
deviation), as well as
describing any overall
pattern and any striking
deviations from the
overall pattern with
references to the context
in which the data were
gathered.
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The National Hurricane Center (HNC) keeps records
of all hurricane landfalls in the US. Most hurricanes
occur between June and November, with a peak
number of hurricanes usually occurring in
September. What might a dot plot of the frequency
of hurricanes that hit Florida per month look like?
GO 13.1 Patterns in Data
TASK (GO) Unlock the Problem (Modification: Just show
problem and line plot and have them come up with their
own interpretation-omit guided questions, they can
answer these in book after the discussion).
 Math Talk, in journal
 Work in Go Math 13.1
Homework: 243, 244
Day 96 Mean Absolute Deviation (Measure of
Variability)
GO 13.3 Mean Absolute Deviation
Vocabulary
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Mean absolute deviation: the mean of the distances
of data values from the mean of the data set
TASK: Use two sets of data, such as the # of students in
Feld’s class with pets vs the # of students in Lind’s or
Patterson’s class with pets. How do these data vary?
SP.2.
Understand that a set of
data collected to answer
a statistical question has
a distribution which can
be described by its
center, spread, and
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Find the mean absolute deviation of the two sets of
data and compare the data.
What is the difference between looking at mean,
median, mode data (Measures of center) AND
looking at the mean absolute deviation (measure of
variability) (MAD) data?
What is the difference between the measure of
center and the measure of variability?
overall shape
Homework: 247, 248
SP.3.
Mastery Connect: Mean Standard Deviation
Recognize that a measure
of center for a numerical
data set summarizes all
of its values with single
number, while a measure
of variation describes
how its values vary with
a single number.
Day 97 Measures of Variability
GO 13.4 Measures of Variability
Unlock the Problem together
Work in Go Math 13.4
Homework: 249, 250
Scott Foresman has some
good practice for these.
Day 98 Apply Measures of Center and Variability
GO 13.5, 13.6
TASK (Wiki) Tina's Texting Tragedy (displaying data)
Unlock the Problem together
Work in Go Math 13.5 & 13.6
Homework p. 253, 254
Day 99 Describe Distribution
GO 13.7 Describe Distribution
TASK (Wiki) Blast Off! (they need to organize data. They
will need the following info: number of moons of the
planets, diameters of the planets, and the length of
rotation of the planets).
Vocabulary
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Distribution: the overall shape of the graph of a data
set
Activity and Unlock the Problem – they are collecting
and graphing data
Work in Go Math 13.7
Homework p. 255, 256
Day 100 Misleading Statistics
GO 13.8 Problem Solving –Misleading Statistics
Unlock the Problem together
Work in Go Math 13.8
Homework: 257, 258
Practice tasks: Birthday Buddies (Wiki) and Movie
Money (Wiki)
Day 101 Project (test)
Using data from day 1 of unit:
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Organize data
Find mean, median, mode, and range of data
Make histogram
Make line plot
Make box & whisker plot
Find Mean Absolute Deviation (organize data)
Day 102 – 105
Culminating Project: The “Average” 6th Grader