STUDENT PORTRAIT

Barb Carstensen Kristen Fletcher Johm McMahan Thomas Keys, Jr

Class: Pre-Algebra, 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