STUDENT PORTRAIT
Barb Carstensen Kristen Fletcher Johm McMahan Thomas Keys, Jr
Class: PreAlgebra, General Math
Materials: Survey Sheet, Calculator, Report Sheet
Goals: Apply the concepts of Mean, Median, and Mode in real life situations.
Technology: None (Calculator would help)
Time
Required: For this group of students, one day should be allowed to collect the data and an additional two days allowed to compile the data, make their reports and submit report sheets.
Background: Familiarity with the terms mean, mode, and median and how to compute or find them.
Setting: Project will be performed in the school with the students surveying other students besides their classmates.
Problem: Students working in groups of 3 or 4 will survey at least 10 students each not in their class and compile this data to determine the characteristics of the school. This compilation will be done in two parts.
Sample Solution: See Attached
Evaluation: See Rubric
Extensions: This can be applied to any population with appropriate modifications.
Teacher Notes: SEE Lesson Plans
QUESTIONNAIRE
LEAVE THIS PAGE BLANK
TALLY SHEET
PART 1
LEAVE THIS PAGE BLANK
TALLY SHEET
PART 2
LEAVE THIS PAGE BLANK
SUMMARY

MEAN 
MODE 
MEDIAN 
AGE 



HEIGHT 



FAVORITE SUBJECT 



HAIR COLOR 



EYE COLOR 



TIME TO SCHOOL (MINUTES) 



GENDER 



LUCKY NUMBER 







LESSON PLAN
Monday:
The last half of the class period will be devoted to passing out worksheets and answering any questions about the project.
Tuesday:
Student groups will begin to compile their data: record their findings on the tally sheet for the first half of the project. Find the Mean, Mode, and Median as indicated on the Tally Sheet. If the time permits, students will enter their data and decisions on the Record Sheet.
Wednesday:
(STUDENTS WILL START THE SECOND HALF OF THE RECORD SHEET ONLY AFTER THE CLASS HAS HAD A CHANCE TO DISCUSS THE DECISIONS MADE ON THE FIRST HALF). The remaining time will be used to complete the project.
Thursday:
Students will combine their findings to complete a portrait of a student attending our school. The assignment for today will consist of problems that would not have normally been assigned because of perceived difficulty.
RUBRIC
Score 4: o The group understood the problem and made the appropriate decisions.
o Calculations valid.
o Explanations good both written and oral.
o Project neat and well organized.
Score 3: o Valid calculation.
o Missing one of the remaining three.
Score 2: o Missing any two of the four items in the Score 4 category.
Score 1: o A project was turned in, but it is clear that the student does not understand the problem.
NAME:
RECORD SHEET
Mean  Mode  Median
Answer the following question(s) for each of the eight parts of the questionnaire that your group completed.
1. Of the three statistical measures used, which one best fits the data collected for Age? If more than one (1) measure fits the data, explain why?
2. Of the three statistical measures used, which one best fits the data collected for Height? If more than one (1) measure fits the data, explain why?
3. Of the three statistical measures used, which one best fits the data collected for Favorite Subject? If more than one (1) measure fits the data, explain why?
4. Of the three statistical measures used, which one best fits the data collected for Hair Color? If more than one (1) measure fits the data, explain why?
5. Of the three statistical measures used, which one best fits the data collected for Eye Color? If more than one (1) measure fits the data, explain why?
6. Of the three statistical measures used, which one best fits the data collected for Time To School? If more than one (1) measure fits the data, explain why?
7. Of the three statistical measures used, which one best fits the data collected for Gender? If more than one (1) measure fits the data, explain why?
8. Of the three statistical measures used, which one best fits the data collected for Lucky Number? If more than one (1) measure fits the data, explain why?
9. If forty (40) new students enrolled in your school today, predict what the Aaverage@ student would be like in terms of the eight (8) categories.
TALLY SHEET
(SAMPLE SOLUTION)
PART 1
TALLY SHEET
(SAMPLE SOLUTION)
PART 2
SUMMARY

MEAN 
MODE 
MEDIAN 
AGE 
16 
15 
16 
HEIGHT 
5'6" 
5'8" 
5'5" 
FAVORITE SUBJECT 

Art (5) 

HAIR COLOR 

Brown (5) 

EYE COLOR 

Brown (4) 

TIME TO SCHOOL (MINUTES) 
29 
20 
25 
GENDER 

Male (6) 

LUCKY NUMBER 
4.4 
7 (7) 
4 




QUESTIONNAIRE
PLEASE CIRCLE THE CORRECT CHOICE FOR YOU.
Age 
13 
14 
15 
16 
17 
18 
19 
20 
21 
22 
23 
24 
25 
Height 
5'0"  5'2" 

5'2"  5'4" 

5'4"  5'6" 

5'6"  5'8" 

5'8"  5'10" 

5'10"  6'0" 

over 6' 
Favorite Subject 
Math 
Sci 
Eng 
Music 
Social Studies 
Art 







Hair Color 
BLK 
BR 
BLN 
RED 









Eye Color 
BL 
BR 
GR 
GY 









Time To School (Min) 
10 
20 
30 
40 
50 
60 
70 
80 
90 
100 
110 
120 
130 
Gender 
M 
F 











Lucky Number 
0 
1 
2 
3 
4 
5 
6 
7 
8 
9 

















NAME:
TALLY SHEET
PART 1
Age 
13 
14 
15 
16 
17 
18 
19 

Σx 








Mean = 

Mode = 

Median = 




Height 
5'0"5'2" 
5'2"5'4" 
5'4"5'6" 
5'6"5'8" 
5'8"5'10" 
5'10" 6' 
6'0"6'2" 
Over 6'2" 




Σx 












Mean = 


Mode = 









Favorite Subject 
Math 
English 
Science 
Music 
Social Studies 
Art 
Σx 






Mean = 

Mode = 

Median = 


Hair Color 
Black 
Brown 
Blonde 
Red 
Σx 




Mean = 
Mode = 
Median = 


TALLY SHEET
PART 2
Eye Color 
Blue 
Brown 
Green 
Gray 
Σx 




Mean = 
Mode = 
Median = 


Time To School (Min) 
10 
20 
30 
40 
50 
60 
70 
80 
90 
100 
110 
120

Σx 












Mean = 

Mode = 










Gender 
Male 
Female 
Σx 


Mean = 
Mode = 
Median = 
Lucky Number 
0 
1 
2 
3 
4 
5 
6 
7 
8 
9 
Σx 










Mean = 

Mode = 


Median = 





TALLY SHEET
(SAMPLE SOLUTION)
PART 1
Age 
13 
14 
15 
16 
17 
18 
19 

Σx 


4 
3 
2 
1 


Mean = 16 

Mode = 15 

Median = 16 




Height 
5'0"  5'2" 

5'2"  5'4" 
5'4"  5'6" 

5'6"  5'8" 
5'8"  5'10" 
5'10"  6'0" 
Over 6' 

Σx 

1 
5 
9 

1 
1 



Mean = 5'6" 


Mode = 5'4" to 5'6" 

Median = 5'4" to 5'6" 





Favorite Subject 
Math 
English 
Science 
Music 
Social Studies 
Art 
Σx 
1 

3 
1 

5 
Mean = 

Mode = Art (5) 

Median = 


Hair Color 
Black 
Brown 
Blonde 
Red 
Σx 
1 
5 
3 
1 
Mean = Mode = Brown 

Median = 


TALLY SHEET
(SAMPLE SOLUTION)
PART 2
Eye Color 
Blue 
Brown 
Green 
Gray 
Σx 
3 
4 
2 
1 
Mean = Mode = Brown 

Median = 


Time To School (Min) 
10 
20 
30 
40 
50 
60 
70 
80 
90 
100 
110 
120 
Σx 
2 
3 
1 
2 
2 







Mean = 29 

Mode = 20 


Median = 25 







Gender 
Male 
Female 
Σx 
6 
4 
Mean 
Mode = Male 
Median 
Lucky Number 
0 
1 
2 
3 
4 
5 
6 
7 
8 
9 
Σx 

1 

4 

2 

7 


Mean = 

Mode = 7 


Median = 





Funded in part by the National Science Foundation and Indiana University 1995