Graphing and Analyzing Data

Making PredictionsMaking Predictions

Drawing ConclusionsDrawing Conclusions

Making InferencesMaking Inferences

Lucy’s Lemonade Stand

• How many glasses of lemonade did Lucy sell in Week 3?

• In which week did Lucy sell the most glasses of lemonade?

• In which week did Lucy sell the least glasses of lemonade?

0

5

10

15

20

25

30

35

Week1

Week2

Week3

Week4

Lucy’s Lemonade Stand

Gla

sses

of

Lem

onad

e S

old

Beach Erosion Predictions• Based on the information in this

line graph, which of the following statements would be the best prediction?

– Based on this data, there will most likely be 2 inches of erosion in the year 2000.

– Based on this data, there will most likely be no erosion in the year 2000.

– Based on this data, there will most likely be 6 inches of erosion in the year 2000.

1995 1996 1997 1998 1999 2000

9 8 7 6 5 4 3 2 1 0

Year

Inches

Beach Erosion

. . . . .

Explain.

Spelling Test Grades

Jean’s spelling test for the 2nd nine weeksXXXX X

X X XX X X X X X

75 80 85 90 95 100

• Based on this line plot, what grade would Jean most likely make on her next spelling test?– a. F

– b. D or C

– c. C or B

– d. B or A

Spelling Test Grades

Jean’s spelling test for the 2nd nine weeksXXXX X

X X XX X X X X X

75 80 85 90 95 100

• Based on this line plot, what grade would Jean most likely make on her next spelling test?

– d. B or A

Hector’s Taco Shop

• Hector opens his taco shop 4 days a week. The graph shows the money he made last week.

• If Hector has to close his shop either Thursday, Friday, Saturday, or Sunday, what day should he close it? Why?

0100200300400500600700800900

Thu

rsda

y

Fri

day

Satu

rday

Sund

ay

Hector’s Taco Shop

Am

ount

of

Mon

ey E

arne

d in

Dol

lars

Making Inferences: Use the observable data in

the graph to make inferences.

Hector’s Taco Shop

• Hector opens his taco shop 4 days a week. The graph shows the money he made last week.

• On which night should Hector have the most food prepared? Why?

0100200300400500600700800900

Thu

rsda

y

Fri

day

Satu

rday

Sund

ay

Hector’s Taco Shop

Am

ount

of

Mon

ey E

arne

d in

Dol

lars

Making Inferences: Use the observable data in

the graph to make inferences.

Making the Grade!

• Which group, boys or girls, had the most As?

• In which quarter did the boys and girls have the same number of As?

• Using your inference skills, which quarter would you infer was the most difficult quarter for the students? Why?

0

5

10

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30

35

40

1stQtr

2ndQtr

3rdQtr

4thQtr

BoysGirls

Number of Students Making all As in 4th Grade

# of

Stu

dent

s M

akin

g al

l As

Double Bar Graph

Television Conclusions

Number of Hours Students Watch TV On Weekends

Hours 20 16 • 12 • • 8 • • 4 0

6 7 8 9 10 11 Student’s Age

• Make conclusions about Make conclusions about students’ ages and the students’ ages and the number of hours they number of hours they watch television on the watch television on the weekends.weekends.

• Example:– The older the students

are, the more hours they watch television on the weekends.

Making Conclusions• Using the data in this double

bar graph, make a conclusion statement about the average monthly temperatures in the summer months.

• Using the data in this double bar graph, make a conclusion statement about the average monthly temperatures in the winter months.

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

85

80

75

70

65

60

55

50

45

40

35

30

25

San Francisco, CA

Wichita, KS

AVERAGE MONTHLY TEMPERATURES

Comparing Graphs to Make Conclusions Using the data in these two graphs, are the following statements true Using the data in these two graphs, are the following statements true

or false conclusions?or false conclusions? • 5th graders always buy more milk than 4th

graders.

• Both 4th and 5th graders increase their milk purchases as the days progress.

• The day the 4th graders bought the most milk is also the day the 5th graders bought

the least amount of milk.

• The day the 5th graders bought the most amount of milk is also the day the 4th

graders bought the least milk.

1 2 3 4 5 6

45

50

55

60

40

Day

4th Graders Who Bought Milk

1 2 3 4 5 6

45

50

55

60

40

Day

5th Graders Who Bought Milk

Comparing Graphs to Make Conclusions Using the data in these two graphs, are the following statements true Using the data in these two graphs, are the following statements true

or false conclusions?or false conclusions? • 5th graders always buy more milk than 4th

graders.– FALSE

• Both 4th and 5th graders increase their milk purchases as the days progress.

– FALSE

• The day the 4th graders bought the most milk is also the day the 5th graders bought

the least amount of milk.– FALSE

• The day the 5th graders bought the most amount of milk is also the day the 4th

graders bought the least milk.– TRUE

1 2 3 4 5 6

45

50

55

60

40

Day

4th Graders Who Bought Milk

1 2 3 4 5 6

45

50

55

60

40

Day

5th Graders Who Bought Milk

Now…practice your own data analysis!