Math. Distributing Line Plot Values. Answers. Name:

(1)

1) The line plot below shows the distance (in miles) that each member of a relay race travelled. Each × = 1 Member

×

1

_⁄

4 2

_⁄

4 3

_⁄

4 4

_⁄

4

How far would each person have run if the distances were distributed evenly?

2) The line plot below shows the weight (in grams) of vitamin bottles.

Each × = 1 Bottle

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

If you were to redistribute the vitamins, so each bottle weighed the same amount, how heavy would each bottle be?

3) The line plot below shows the amount of liquid (in liters) in different

containers. Each × = 1 Container

×

1

⁄

3 2

⁄

3 3

⁄

3

Find the amount of liquid each container would have if if the total amount were redistributed equally.

4) The line plot below shows the amount of water a plant received (in cups) over the course of 6 days.

Each × = 1 Day

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Find how many cups of water the plant would have received if it got the same amount each day.

5) Chloe tore a sheet of paper into different length pieces. The line plot below shows the length (in inches) of each piece. Each × = 1 Piece

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

If she had tore the sheet into equal sized pieces, how long would each piece be?

6) Kaleb cut a rope into different lengths. The line plot below shows the length (in feet) of the cut pieces.

Each × = 1 Piece

×

1

_⁄

4 2

_⁄

4 3

_⁄

4 4

_⁄

4

If he had cut the rope so each piece was the same length, how long would each piece be? 1. 9

⁄

16 2. 19

⁄

25 3. 12

⁄

15

=

4

⁄

₅ 4. 17

⁄

30 5. 18

⁄

28

=

9

⁄

14 6. 14

⁄

24

=

7

⁄

12

(2)

×

1

_⁄

4 2

_⁄

4 3

_⁄

4 4

_⁄

4

Each × = 1 Bottle

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

×

1

⁄

3 2

⁄

3 3

⁄

3

Each × = 1 Day

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

5) Chloe tore a sheet of paper into different length pieces. The line plot below shows the length (in inches) of each piece. Each × = 1 Piece

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

Each × = 1 Piece

×

1

_⁄

4 2

_⁄

4 3

_⁄

4 4

_⁄

4

⁄

16 2. 19

⁄

25 3. 12

⁄

15

=

4

⁄

₅ 4. 17

⁄

30 5. 18

⁄

28

=

9

⁄

14 6. 14

⁄

24

=

7

⁄

12

(3)

1) The line plot below shows the weight (in kilograms) that each cabinet shelf is holding. Each × = 1 Shelf

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

Find the amount of weight each shelf would have if the weight were redistributed equally.

2) The line plot below shows the weight (in tons) of boxes on pallets.

Each × = 1 Pallet

×

1

_⁄

3 2

_⁄

3 3

_⁄

3

If the weight were redistributed evenly, how much weight would be on each pallet?

3) Roger cut a rope into different lengths. The line plot below shows the length (in feet) of the cut pieces.

Each × = 1 Piece

×

1

⁄

3 2

⁄

3 3

⁄

3

If he had cut the rope so each piece was the same length, how long would each piece be?

4) The line plot below shows the pounds of candy a group of friends received.

Each × = 1 friend

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

If they split the total amount of candy evenly, how much would each friend get?

Each × = 1 Bottle

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

1. 16

⁄

24

=

2

⁄

3 2. 10

⁄

18

=

5

⁄

₉ 3. 12

⁄

18

=

2

⁄

₃ 4. 10

⁄

25

=

2

_⁄

5 5. 5

⁄

20

=

1

⁄

4 6. 6

⁄

16

=

3

⁄

8

(4)

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

Each × = 1 Pallet

×

1

_⁄

3 2

_⁄

3 3

_⁄

3

3) Roger cut a rope into different lengths. The line plot below shows the length (in feet) of the cut pieces.

Each × = 1 Piece

×

1

⁄

3 2

⁄

3 3

⁄

3

Each × = 1 friend

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Each × = 1 Bottle

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

1. 16

⁄

24

=

2

⁄

3 2. 10

⁄

18

=

5

⁄

₉ 3. 12

⁄

18

=

2

⁄

₃ 4. 10

⁄

25

=

2

_⁄

5 5. 5

⁄

20

=

1

⁄

4 6. 6

⁄

16

=

3

⁄

8

(5)

Each × = 1 Bottle

×

1

_⁄

5 2

_⁄

5 3

_⁄

5 4

_⁄

5 5

_⁄

5

2) Megan tore a sheet of paper into different length pieces. The line plot below shows the length (in inches) of each piece. Each × = 1 Piece

×

1

⁄

3 2

⁄

3 3

⁄

3

Each × = 1 Pallet

×

1

_⁄

3 2

_⁄

3 3

_⁄

3

×

1

⁄

3 2

⁄

3 3

⁄

3

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

6) Sam cut a rope into different lengths. The line plot below shows the length (in feet) of the cut pieces.

Each × = 1 Piece

×

1

⁄

3 2

⁄

3 3

⁄

3

⁄

25 2. 13

⁄

18 3. 10

⁄

12

=

5

⁄

₆ 4. 6

⁄

12

=

1

_⁄

2 5. 15

⁄

24

=

5

⁄

8 6. 12

⁄

18

=

2

⁄

3

(6)

Each × = 1 Bottle

×

1

_⁄

5 2

_⁄

5 3

_⁄

5 4

_⁄

5 5

_⁄

5

×

1

⁄

3 2

⁄

3 3

⁄

3

Each × = 1 Pallet

×

1

_⁄

3 2

_⁄

3 3

_⁄

3

×

1

⁄

3 2

⁄

3 3

⁄

3

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

Each × = 1 Piece

×

1

⁄

3 2

⁄

3 3

⁄

3

⁄

25 2. 13

⁄

18 3. 10

⁄

12

=

5

⁄

₆ 4. 6

⁄

12

=

1

_⁄

2 5. 15

⁄

24

=

5

⁄

8 6. 12

⁄

18

=

2

⁄

3

(7)

Each × = 1 Bottle

×

1

_⁄

4 2

_⁄

4 3

_⁄

4 4

_⁄

4

Each × = 1 friend

×

1

_⁄

4 2

_⁄

4 3

_⁄

4 4

_⁄

4

Each × = 1 Pallet

×

1

⁄

3 2

⁄

3 3

⁄

3

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

5) Frank cut a rope into different lengths. The line plot below shows the length (in feet) of the cut pieces.

Each × = 1 Piece

×

1

_⁄

3 2

_⁄

3 3

_⁄

3

Each × = 1 Day

×

1

_⁄

5 2

_⁄

5 3

_⁄

5 4

_⁄

5 5

_⁄

5

1. 11

⁄

16 2. 11

⁄

20 3. 8

⁄

15 4. 15

⁄

30

=

1

_⁄

2 5. 6

⁄

12

=

1

⁄

2 6. 17

⁄

35

(8)

Each × = 1 Bottle

×

1

_⁄

4 2

_⁄

4 3

_⁄

4 4

_⁄

4

Each × = 1 friend

×

1

_⁄

4 2

_⁄

4 3

_⁄

4 4

_⁄

4

Each × = 1 Pallet

×

1

⁄

3 2

⁄

3 3

⁄

3

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

5) Frank cut a rope into different lengths. The line plot below shows the length (in feet) of the cut pieces.

Each × = 1 Piece

×

1

_⁄

3 2

_⁄

3 3

_⁄

3

Each × = 1 Day

×

1

_⁄

5 2

_⁄

5 3

_⁄

5 4

_⁄

5 5

_⁄

5

1. 11

⁄

16 2. 11

⁄

20 3. 8

⁄

15 4. 15

⁄

30

=

1

_⁄

2 5. 6

⁄

12

=

1

⁄

2 6. 17

⁄

35

(9)

Each × = 1 Bottle

×

1

_⁄

4 2

_⁄

4 3

_⁄

4 4

_⁄

4

Each × = 1 Day

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

4) Paul cut a rope into different lengths. The line plot below shows the length (in feet) of the cut pieces.

Each × = 1 Piece

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Each × = 1 Pallet

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

Find the amount of weight each shelf would have if the weight were redistributed equally. 1. 11

⁄

16 2. 13

⁄

16 3. 10

⁄

25

=

2

⁄

₅ 4. 13

⁄

25 5. 11

⁄

25 6. 13

⁄

24

(10)

Each × = 1 Bottle

×

1

_⁄

4 2

_⁄

4 3

_⁄

4 4

_⁄

4

Each × = 1 Day

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Each × = 1 Piece

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Each × = 1 Pallet

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

Find the amount of weight each shelf would have if the weight were redistributed equally. 1. 11

⁄

16 2. 13

⁄

16 3. 10

⁄

25

=

2

⁄

₅ 4. 13

⁄

25 5. 11

⁄

25 6. 13

⁄

24

(11)

×

1

⁄

3 2

⁄

3 3

⁄

3

Each × = 1 Piece

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

×

1

⁄

3 2

⁄

3 3

⁄

3

Each × = 1 Pallet

×

1

⁄

3 2

⁄

3 3

⁄

3

Each × = 1 Day

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

×

1

_⁄

5 2

_⁄

5 3

_⁄

5 4

_⁄

5 5

_⁄

5

1. 9

⁄

15

=

3

⁄

5 2. 14

⁄

20

=

7

⁄

₁₀ 3. 9

⁄

15

=

3

⁄

₅ 4. 8

⁄

12

=

2

_⁄

3 5. 21

⁄

25 6. 18

⁄

25

(12)

×

1

⁄

3 2

⁄

3 3

⁄

3

Each × = 1 Piece

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

×

1

⁄

3 2

⁄

3 3

⁄

3

Each × = 1 Pallet

×

1

⁄

3 2

⁄

3 3

⁄

3

Each × = 1 Day

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

×

1

_⁄

5 2

_⁄

5 3

_⁄

5 4

_⁄

5 5

_⁄

5

1. 9

⁄

15

=

3

⁄

5 2. 14

⁄

20

=

7

⁄

₁₀ 3. 9

⁄

15

=

3

⁄

₅ 4. 8

⁄

12

=

2

_⁄

3 5. 21

⁄

25 6. 18

⁄

25

(13)

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

Each × = 1 Day

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

Each × = 1 Bottle

×

1

_⁄

3 2

_⁄

3 3

_⁄

3

Each × = 1 Piece

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Each × = 1 Pallet

×

1

_⁄

5 2

_⁄

5 3

_⁄

5 4

_⁄

5 5

_⁄

5

Each × = 1 friend

×

1

_⁄

5 2

_⁄

5 3

_⁄

5 4

_⁄

5 5

_⁄

5

If they split the total amount of candy evenly, how much would each friend get? 1. 16

⁄

24

=

2

⁄

3 2. 5

⁄

16 3. 11

⁄

18 4. 8

⁄

20

=

2

_⁄

5 5. 20

⁄

35

=

4

⁄

7 6. 13

⁄

20

(14)

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

Each × = 1 Day

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

Each × = 1 Bottle

×

1

_⁄

3 2

_⁄

3 3

_⁄

3

Each × = 1 Piece

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Each × = 1 Pallet

×

1

_⁄

5 2

_⁄

5 3

_⁄

5 4

_⁄

5 5

_⁄

5

Each × = 1 friend

×

1

_⁄

5 2

_⁄

5 3

_⁄

5 4

_⁄

5 5

_⁄

5

If they split the total amount of candy evenly, how much would each friend get? 1. 16

⁄

24

=

2

⁄

3 2. 5

⁄

16 3. 11

⁄

18 4. 8

⁄

20

=

2

_⁄

5 5. 20

⁄

35

=

4

⁄

7 6. 13

⁄

20

(15)

Each × = 1 Bottle

×

1

_⁄

5 2

_⁄

5 3

_⁄

5 4

_⁄

5 5

_⁄

5

2) Adam cut a rope into different lengths. The line plot below shows the length (in feet) of the cut pieces.

Each × = 1 Piece

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Each × = 1 Day

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

Each × = 1 friend

×

1

⁄

3 2

⁄

3 3

⁄

3

×

1

_⁄

3 2

_⁄

3 3

_⁄

3

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

1. 15

⁄

25

=

3

⁄

5 2. 19

⁄

25 3. 7

⁄

16 4. 12

⁄

18

=

2

_⁄

3 5. 7

⁄

15 6. 11

⁄

20

(16)

Each × = 1 Bottle

×

1

_⁄

5 2

_⁄

5 3

_⁄

5 4

_⁄

5 5

_⁄

5

2) Adam cut a rope into different lengths. The line plot below shows the length (in feet) of the cut pieces.

Each × = 1 Piece

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Each × = 1 Day

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

Each × = 1 friend

×

1

⁄

3 2

⁄

3 3

⁄

3

×

1

_⁄

3 2

_⁄

3 3

_⁄

3

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

1. 15

⁄

25

=

3

⁄

5 2. 19

⁄

25 3. 7

⁄

16 4. 12

⁄

18

=

2

_⁄

3 5. 7

⁄

15 6. 11

⁄

20

(17)

Each × = 1 friend

×

1

_⁄

3 2

_⁄

3 3

_⁄

3

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

Each × = 1 Day

×

1

_⁄

5 2

_⁄

5 3

_⁄

5 4

_⁄

5 5

_⁄

5

Each × = 1 Pallet

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

×

1

_⁄

3 2

_⁄

3 3

_⁄

3

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

1. 6

⁄

12

=

1

⁄

2 2. 13

⁄

24 3. 15

⁄

25

=

3

⁄

₅ 4. 18

⁄

35 5. 11

⁄

15 6. 18

⁄

35

(18)

Each × = 1 friend

×

1

_⁄

3 2

_⁄

3 3

_⁄

3

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

Each × = 1 Day

×

1

_⁄

5 2

_⁄

5 3

_⁄

5 4

_⁄

5 5

_⁄

5

Each × = 1 Pallet

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

×

1

_⁄

3 2

_⁄

3 3

_⁄

3

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

1. 6

⁄

12

=

1

⁄

2 2. 13

⁄

24 3. 15

⁄

25

=

3

⁄

₅ 4. 18

⁄

35 5. 11

⁄

15 6. 18

⁄

35

(19)

Each × = 1 Day

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Each × = 1 Pallet

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Each × = 1 friend

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

5) Debby tore a sheet of paper into different length pieces. The line plot below shows the length (in inches) of each piece. Each × = 1 Piece

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Each × = 1 Piece

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

⁄

24

=

5

⁄

6 2. 23

⁄

35 3. 14

⁄

30

=

7

⁄

₁₅ 4. 10

⁄

16

=

5

_⁄

8 5. 20

⁄

30

=

2

⁄

3 6. 18

⁄

30

=

3

⁄

5

(20)

Each × = 1 Day

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Each × = 1 Pallet

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Each × = 1 friend

×

1

⁄

4 2

⁄

4 3

⁄

4 4

⁄

4

5) Debby tore a sheet of paper into different length pieces. The line plot below shows the length (in inches) of each piece. Each × = 1 Piece

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

Each × = 1 Piece

×

1

⁄

5 2

⁄

5 3

⁄

5 4

⁄

5 5

⁄

5

⁄

24

=

5

⁄

6 2. 23

⁄

35 3. 14

⁄

30

=

7

⁄

₁₅ 4. 10

⁄

16

=

5

_⁄

8 5. 20

⁄

30

=

2

⁄

3 6. 18

⁄

30

=

3

⁄

5