TODAY IN ALGEBRA…

Warm Up: Mean, Median, Mode, Range

Learning Target: 13.7 You will make stem-and-leaf plots

AT – Test corrections or missing assignments

WARM UP: Find the mean, median, mode, range of the data.

Ages of people in art class:

MEAN: average

MEDIAN: middle number

If there are two “middle numbers” then take the average:

MODE: most frequent number

¿38+15+13+32+13+17+29+34

8¿1918 ¿𝟐𝟑 .𝟖𝟖

13 ,13 ,15 ,17 ,29 ,32 ,34 ,38

𝟏𝟑¿17+292¿462¿𝟐𝟑

13.7 STEM-AND-LEAF PLOTSSTEM-AND-LEAF PLOT: a way to organize data based on their digits.

EXAMPLE: Make a stem-and-leaf plot of the data.

STEP 1: Create the STEM using the 10’s digitSTEP 2: Write the LEAVES in increasing order using the 1’s digitSTEP 3: Write a key

Stem

0

1

2

3

4

Leaves

3 4 7 7 8 8

2 4 4 8 9 9

1 3 5

2 7 9

1 2 Key:

13.7 STEM-AND-LEAF PLOTSEXAMPLE 2: Make a stem-and-leaf plot of the data.

STEP 1: Create the STEM using the 10’s digitSTEP 2: Write the LEAVES in increasing order using the 1’s digitSTEP 3: Write a key

Stem

0

1

2

3

4

5

Leaves

8 9

8

4 4 5

2 2 8

0 1

7 9

8 9

1 2 7

2 6 Key:

13.7 STEM-AND-LEAF PLOTSEXAMPLE 3: Make a stem-and-leaf plot of the data.

STEP 1: Create the STEM using the first 3 digits.STEP 2: Write the LEAVES in increasing order using the 1’s digitSTEP 3: Write a key

Stem

178

179

180

181

Leaves

7 7

0

3

2 6 7

7 8 8 8 8 8 8 8 8 9

1 2 6

Key:

13.6 MEAN, MEDIAN, MODECHECKPOINT: Complete problems Pg.883: 3-7

13.7 STEM-AND-LEAF PLOTSCHECKPOINT: Complete problems Pg.883: 3-6

Stem

1

2

3

4

5

Leaves

7

0

0 1 3

2

5

5 8

0 4

8 9

Stem

0

1

2

3

Leaves

1

0

2

4 7

2 5 6 6 7 8 8 9

3

3. 4.

Key:

Key:

13.7: STEM-AND-LEAF PLOTSCHECKPOINT: Complete problems Pg.883: 3-6

Stem101112131415161718

Leaves51

326

9

1 4

Stem

1.0

1.1

1.2

1.3

1.4

Leaves

1

2

1

9 9

5

5

5. 6.9

7

2

3 9

5

Key: Key:

13.7 STEM-AND-LEAF PLOTSBACK-TO-BACK STEM-AND-LEAF PLOT: a way to organize and compare data based on their digits.EXAMPLE: The ages of 2004 Olympic gymnastics teams. Make a back-to-back stem-and-leaf plot of the data.Men: Women: STEP 1: Create the STEM using the 10’s digitSTEP 2: Write the LEAVES in increasing order using the 1’s digit on BOTH sides.STEP 3: Write a key

1

2

3

Women

6 6 8 8

5 6

0

Men

4 3 1 17

Key:

13.7 STEM-AND-LEAF PLOTSThe great thing about back-to-back stem-and-leaf plots:

We can easily compare data!EXAMPLE: The ages of 2004 Olympic gymnastics teams. Make a back-to-back stem-and-leaf plot of the data.

What can you generalize about the ages of the men and women in the 2004 Olympic gymnastics teams?

Men were generally older than the women.

1

2

3

Women

6 6 8 8

5 6

0

Men

4 3 1 17

Key:

• MEAN:

• MEDIAN:

• MODE: none

• RANGE:

13.7 STEM-AND-LEAF PLOTSEXAMPLE: The ages of 2004 Olympic gymnastics teams. Make a back-to-back stem-and-leaf plot of the data.

1. What is the mean, median, mode and range for the men’s ages?

1

2

3

Women

6 6 8 8

5 6

0

Men

4 3 1 17

Key:

• MEAN:

• MEDIAN:

• MODE: 16, 18

• RANGE:

13.7 STEM-AND-LEAF PLOTSEXAMPLE: The ages of 2004 Olympic gymnastics teams. Make a back-to-back stem-and-leaf plot of the data.

1. What is the mean, median, mode and range for the women’s ages?

1

2

3

Women

6 6 8 8

5 6

0

Men

4 3 1 17

Key:

• MEAN:

• MEDIAN:

• MODE:

• RANGE:

13.7 STEM-AND-LEAF PLOTSPRACTICE: Find the mean, median, mode and range of Set A and Set B.

SET A:

• MEAN:

• MEDIAN:

• MODE:

• RANGE:

13.7 STEM-AND-LEAF PLOTSPRACTICE: Find the mean, median, mode and range of Set A and Set B.

SET B:

13.7 STEM-AND-LEAF PLOTSCHECKPOINT: Complete problems Pg.884: 17, 20, 21

13.7 STEM-AND-LEAF PLOTSCHECKPOINT: Complete problems Pg.884: 17, 20, 21