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Range,
Mean, Median, and Mode
through the Internet
Designed
by:
Caren L. Hazelwood, Hand
Middle School
GRADE
LEVEL: 8th
SUBJECT(S):
Math
1)CORE
CURRICULUM OBJECTIVE(S):
Identify and calculate range, mean,
median, and mode from data. (8-SP1-7)
(6SP1-7)
[PACT VI.C.1]
RESTATEMENT:
Students will calculate range, mean,
median, and mode from a set of data from the
Internet.
2)
OVERVIEW:
As a culminating activity, students,
using the Internet as a data-gathering source,
will calculate the range, mean, median, and
mode from a set of numbers.
3)
FOCUS/ESSENTIAL QUESTION(S):
How can a set of numbers be used to
determine range, mean, median, and mode?
4)
TIME FRAME:
Three 45 - 50 minute periods - one
period for information gathering
-
one period for processing and publishing
-
one period for presentation
5)
RESOURCES:
*
Gateways to Algebra (p. 221-227), for
reference
*
Glencoe Course 3 (p. 145-154), for reference
*
Data-gathering sheet & rubric
*
Computers with Internet access
*
Internet sites
www.espn.go.com
http://finance.yahoo.com/
www.go.com/
*
Paper/pencil
*
Supplies for publication - construction paper,
white copy paper, markers, etc.
*
If computers are not available, utilize the
newspapers. Students could even bring in baseball trading cards or
other cards that contain a set of numbers to
compute.
6)
ASSESSMENT:
Students will determine the range,
mean, median, and mode of a gathered set of
data, and a rubric follows the lesson.
Students could assist in developing a
new weighting system for the rubric if
desired.
7)
INSTRUCTIONAL ACTIVITIES:
*
Students will be using the Internet to collect
data for computing range, mean, median, and
mode.
*
Divide students into pairs by either counting
by 1-2, self-selecting partners, or having the
teacher pre-select partners.
(Students may work individually if
computers are available for all students.
If working individually, time for
presentations may need to be adjusted.)
*
The Internet can provide sites that contain
tables and sets of data.
The site - www.espn.go.com
- provides standings/rankings/win-losses for
NBA, baseball, NHL, soccer, golf, tennis,
NASCAR, and extreme sports.
Currency exchange rates can be located
at http://finance.yahoo.com/
through World Markets, currency.
Price listings for clothes,
accessories, and jewelry can be located at www.go.com/
through centers, shopping.
ACTIVITY
ONE
*
The teacher will provide a copy of the
data-gathering sheet to all students.
Students will review the process of
computing range, mean, median, and mode.
Definitions are to be recorded on the
data sheet.
Range
- the difference between the greatest and
least numbers in a set of data.
Knowing the range can help decide
whether the differences among data are
important.
Mean
- an average.
It is found by adding all the values in
a set and dividing by the number of values.
Median
- another type of average.
It is the number that falls exactly in
the middle of a set of data when the data is
arranged in order from least to greatest.
(With an even set of data, find the mean of
the two numbers.)
Mode
- the number that appears most frequently in a
set of numbers.
There may be one, more than one, or no
mode.
*
The activity sheets list various sites for
collecting data. As with newspaper research,
you may want to allow students to preview the
site for a limited amount of time to see what
it has to offer.
After previewing the site, students
will gather data for their computations.
*
Students are to record the site address, a
description, and the data set of at least
eight numbers. All information is recorded on
the data-gathering sheet.
The teacher should monitor each
student's success using the Internet and the
gathering of data.
ACTIVITY
TWO
*
Students will compute the range, mean, median,
and mode of the data based on the notes and
definitions recorded at the top of the
data-gathering sheet. The textbook can be used
as a resource.
After computing range, mean, median,
and mode, students will switch data with
others to verify responses.
*
Students will publish their data and results
in a creative manner using art supplies
provided by the teacher or brought from home.
(This can be done in class or assigned
as homework.)
ACTIVITY
THREE
*
Students will present their site location,
data, and results to the class.
The final product will be displayed in
the hall.
If it can be coordinated, students will
present their work to the 6th or 7th grade
classes as they also study range, mean,
median, and mode.
NOTE:
The presentation component can be
included on the rubric as a graded component,
or it can be left off.
Name____________________________
Date____________
Per.____
DATA
GATHERING SHEET FOR RANGE,
MEAN, MEDIAN, AND MODE
Internet
sites you may want to visit: - www.espn.go.com
- provides standings/ rankings/win-losses for
NBA, baseball, NHL, soccer, golf, tennis,
NASCAR, and extreme sports. Price listings for
clothes, accessories, and jewelry can be
located at www.go.com/ through centers,
shopping. Currency exchange rates can be located at http://finance.yahoo.com
through World Markets, currency.
Data set must be 8 or more items.
Site
Address You Used: http://______________________________
Describe
site and data (i.e. ranking, prices,
etc.)_________________
Data
(8):__________________________________________
________
__________________________________________________
Show
your calculations:
| Range |
Mean |
Which
result - range, mean, median, or mode
- do you judge as most accurate
to describe your data
group?________________________
Explain
- ______________________
_____________________________
Write
the results in mathematical
statements. ___________________
_____________________________
_____________________________
_____________________________ |
| Median |
Mode |
Name___________________________
Date_________ Per._________
RANGE,
MEAN, MEDIAN, AND MODE THROUGH THE INTERNET
GRADING
RUBRIC
| |
10
|
6
|
2 |
Weight
|
| Data
Collection
|
Collected
set of 8 or more numbers
|
|
Collected
less than 8 numbers
|
0.5
x __=____
|
| Range
|
Calculation
completed with no errors
|
Formula
followed with minor error
|
Major
calculation error due to improper
application of formula
|
1.5
x __=____
|
| Mean
|
Calculation
completed with no errors
|
Formula
followed with minor error
|
Major
calculation error due to improper
application of formula
|
1.5
x __=____
|
| Median
|
Calculation
completed with no errors |
Formula
followed with minor error
|
Major
calculation error due to improper
application of formula
|
1.5
x __=____
|
| Mode
|
Calculation
completed with no errors
|
Formula
followed with minor error
|
Major
calculation error due to improper
application of formula |
1.5
x __=____
|
| Calculations
|
Calculations
are complete for all areas
|
Calculations
are missing in one area
|
Calculations
are mission in two or more areas
|
1.5
x __=____
|
| Publication
|
Contains
site name, data list, explanation of
data, range, mean, mode, & median
|
Lacks
one or two required components
|
Lacks
three or more required components
|
0.5
x __=____
|
| Paragraph's
Content
|
Writing
consistently addresses topic
|
Writing
addresses topic
|
Writing
does not adequately address topic
|
0.5
x __=____
|
| Paragraph's
Grammar
|
Writing
is clear with few errors
|
Writing
reflects minor errors
|
Writing
reflects major errors in grammar
|
0.5
x __=____
|
| Neatness
|
Work
is very neat,
easy to read, and suitable for
display
|
Work
is lacking in neatness but can be
displayed |
Work
is too messy to be read or displayed
|
0.5
x __=____
|
| |
Final Grade - _______ |
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