how do we get across? a woman has two dogs, three rabbits and lettuce. she must cross a river. the...

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How do we get across? A woman has two dogs, three rabbits and lettuce. She must cross a river. The boat is too small to carry all in one crossing. If she transported the dogs, the rabbits would eat the lettuce. If she transported the lettuce, the dogs would eat the rabbits. Question: How is she able to transport them all safely?

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Page 1: How do we get across? A woman has two dogs, three rabbits and lettuce. She must cross a river. The boat is too small to carry all in one crossing. If she

How do we get across?

• A woman has two dogs, three rabbits and  lettuce.

• She must cross a river. • The boat is too small to carry all in one crossing. • If she transported the dogs, the rabbits would

eat the lettuce. • If she transported the lettuce, the dogs would eat

the rabbits. • Question: How is she able to transport them all

safely?

Page 2: How do we get across? A woman has two dogs, three rabbits and lettuce. She must cross a river. The boat is too small to carry all in one crossing. If she

Solution

• She brings the rabbits across. Leave the rabbits and returns to get dogs. She brings the dogs across and returns with rabbits. She leaves rabbits and goes across with the lettuce. She returns to get rabbits.

Page 3: How do we get across? A woman has two dogs, three rabbits and lettuce. She must cross a river. The boat is too small to carry all in one crossing. If she

Lesson 2-1

Frequency Tables

Page 4: How do we get across? A woman has two dogs, three rabbits and lettuce. She must cross a river. The boat is too small to carry all in one crossing. If she

Frequency Tables

• Statistics deals with collecting, organizing, and interpreting data. Data are pieces of information, which are often numerical. Large amounts of data can be organized in a frequency table. A frequency table shows the number of pieces of data that fall within given intervals.

Page 5: How do we get across? A woman has two dogs, three rabbits and lettuce. She must cross a river. The boat is too small to carry all in one crossing. If she

Frequency TablesWords to Know

Price $ Tally Frequency

1-25 4

26-50 11

51-75 7

76-100 13

• Shows the number of pieces of data that fall within given intervals.

Scale- includes the least value and greatest value

Interval- Separates the scale into equal parts

Page 6: How do we get across? A woman has two dogs, three rabbits and lettuce. She must cross a river. The boat is too small to carry all in one crossing. If she

Make a frequency table

• Step 1- Choose an appropriate interval and scale. Should include the least and the greatest value.

• Step 2- Draw a table with 3 columns and label the columns.

• Step 3- Complete the table.

Page 7: How do we get across? A woman has two dogs, three rabbits and lettuce. She must cross a river. The boat is too small to carry all in one crossing. If she

Example

Winning Score• 20 34 23 34 • 31 35 27 49• 30 52 37 20• 55 20 42 39• 46 38 38 27

Scores Tally Frequency

20 - 29

30 - 39

40 - 49

50 - 59

6

9

3

2

Page 8: How do we get across? A woman has two dogs, three rabbits and lettuce. She must cross a river. The boat is too small to carry all in one crossing. If she

Example

Favorite Music• P R F P F • F R F P P• F P F C P• C J R R F• J R P P F• R= rock J= jazz• C= country P= rap• F= top 40

Music Tally Frequency

Rock

Jazz

Country

Top 40

5

2

2

8

Rap 8

Page 9: How do we get across? A woman has two dogs, three rabbits and lettuce. She must cross a river. The boat is too small to carry all in one crossing. If she

Example – Your Turn

Movie Rentals• 10 9 2 17 12 • 9 11 10 4 14• 3 15 0 6 5• 9 20 10 11 8• 3 1 13 4 5

Rentals Tally Frequency

Page 10: How do we get across? A woman has two dogs, three rabbits and lettuce. She must cross a river. The boat is too small to carry all in one crossing. If she

Example – Your Turn

Breakfast Foods• e c e p c c • c p p e c e• c e c p p e

• c= cereal• e= eggs• p=pancakes

Breakfast Tally Frequency

Page 11: How do we get across? A woman has two dogs, three rabbits and lettuce. She must cross a river. The boat is too small to carry all in one crossing. If she

Homework

• Complete Lesson 2-1 # 1-7 ALL