Objective: The student will apply different data to determine content based on weight with 70% accuracy.
*Materials Needed: Pencil, Lab Report Sheet, M&M’s(different weights), Scale (grams to the hundredths), calculator, teamwork.
Grading Procedure: Group points(1-10) will be given based on group participation and the presentation of the lab report. Individual grades will be determined according to effort and following roles.
Limitations: It is necessary to have a scale that measures to the HUNDREDTHS place of any unit to allow for noticeable variances in weight.
Roles: FACILITATOR:________________________ RECORDER:______________________
REPORTER:_________________________ TIMEKEEPER:____________________
MATERIALS MANAGER:___________________________
Directions: Follow the procedures(****)as noted.
****Weigh the bag of M&M’s.
Did you get more or less in weight as stated by the package?___________________________
****Empty the bag and weigh the bag.
Does this weight subtracted from the initial weight come close to the weight listed on the package?____________________________________________________________________
****Count the number of M&M’s.
How many?_______ If this bag cost $0.65, what is the cost per M&M?__________________
****Separate the colors and choose one color of each. Then weigh each individual M&M and record weight in the chart below.
WEIGHT
RED |
ORANGE |
YELLOW |
GREEN |
BLUE |
BROWN |
****Place your data in ascending numeric order using the parenthesis below.
SET =( , , , , , )
The numbers above represent data you will use to predict totals.
****Rewrite the set of data from the previous page below.
( , , , , , )
DIFFERENT WAYS TO INTERPRET (USE) DATA>
When you average your class grades you are finding the mean.
REMEMBERING TECHNIQUE: The mean boy averages two consequences a day.
To find the mean of the data above, combine (add) all the weights and divide by the number of different measurements that were performed.
COMBINED WEIGHT = ___________ DIVIDED BY
NUMBER OF INDIVIDUAL MEASUREMENTS = ___________
MEAN IS _______________
2) MEDIAN: The word median refers to the middle number in the data collected. People often use the median to calculate standard deviations.
REMEMBERING TECHNIQUE: The median is the middle part of interstate roadways.
What is the median in the above set of data???????? Is it possible to find the median in the data above????? YES!!! If the actual number of data in the set is an even number, the process in finding the median involves an additional step. You must find the two numbers which are in the middle of the set and find their mean.
DATA IN THE MIDDLE OF THE SET?_____,____THEIR MEAN?________________
MEDIAN = _______________________________________________________________
REMEMBERING TECHNIQUE:
ST
MO
DE
MODE IS ____________________
^^^Important note^^^ There may be more than one or no mode
EXAMPLE: Using the "closed-eyed" approach.
5) TOTAL WEIGHT OF SIMILAR DATA: Combining data with similar characteristics as a base for comparison or predicting. EXAMPLE: All the red candy.
_________________________________________________________________________
_________________________________________________________________________
Now let us apply our set of data to make predictions. Using recorded date from the previous page, find the number of M&M’s needed to fill a package to the selected weight. Fill in the following charts to record your data.
49.3 GRAM PACKAGE
DESCRIPTION |
WEIGHT |
NUMBER (TO FILL) |
MEAN OF DATA |
||
MEDIAN OF DATA |
||
MODE OF DATA |
||
RED |
||
ORANGE |
||
YELLOW |
||
GREEN |
||
BLUE |
||
BROWN |
92.7 GRAM PACKAGE
DESCRIPTION |
WEIGHT |
NUMBER |
MEAN OF DATA |
||
MEDIAN OF DATA |
||
MODE OF DATA |
||
RED |
||
ORANGE |
||
YELLOW |
||
GREEN |
||
BLUE |
||
BROWN |
1 POUND PACKAGE = ??? GRAMS
DESCRIPTION |
WEIGHT |
NUMBER |
MEAN OF DATA |
||
MEDIAN OF DATA |
||
MODE OF DATA |
||
RED |
||
ORANGE |
||
YELLOW |
||
GREEN |
||
BLUE |
||
BROWN |
What are some patterns you found with the 49.3 gram chart?__________________________
________________________________________________________________________________
How does the mean affect the number of M&M’s? median? mode?____________________
________________________________________________________________________________
How does the small weight of the individual M&M’s affect the numbers?_____________
_______________________________________________________________________________
What differences or trends do you notice from the 92.7 GRAM package (summary) ?
____________________________________________________________________________
What differences do you notice about the predictions from a 1 pound package (summary)?
________________________________________________________________________________
Word 97 doc file of this project: lawson2.doc
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