Line Plot Worksheet 3rd Grade - Free Printable

Problem 1: Interpreting the Line Plot for Shoe Sizes

#### Given:
The line plot shows the shoe sizes of 15 students in 7th grade.

#### Line Plot:
- The x-axis represents shoe sizes.
- Each "X" represents one student's shoe size.

#### Questions:

##### a) What was the most common shoe size?
To determine the most common shoe size, we need to count the number of "X"s for each shoe size and identify the one with the highest frequency.

- Size 4: 2 "X"s
- Size 4½: 1 "X"
- Size 5: 1 "X"
- Size 5½: 1 "X"
- Size 6: 3 "X"s
- Size 6½: 2 "X"s
- Size 7: 3 "X"s
- Size 7½: 1 "X"
- Size 8: 1 "X"
- Size 8½: 0 "X"s
- Size 9: 0 "X"s
- Size 9½: 1 "X"

The most common shoe sizes are 6 and 7, each with 3 "X"s.

Answer: 6 and 7

##### b) How many students were size 8 or above?
We need to count the number of "X"s for shoe sizes 8, 8½, 9, and 9½.

- Size 8: 1 "X"
- Size 8½: 0 "X"s
- Size 9: 0 "X"s
- Size 9½: 1 "X"

Total: \(1 + 0 + 0 + 1 = 2\)

Answer: 2

##### c) More than half the students were size 6 or below. Is this true?
First, count the total number of students who have shoe sizes 6 or below:

- Size 4: 2 "X"s
- Size 4½: 1 "X"
- Size 5: 1 "X"
- Size 5½: 1 "X"
- Size 6: 3 "X"s
- Size 6½: 2 "X"s

Total: \(2 + 1 + 1 + 1 + 3 + 2 = 10\)

There are 15 students in total. Half of 15 is \(15 / 2 = 7.5\). Since 10 is greater than 7.5, more than half the students were size 6 or below.

Answer: True

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Problem 2: Interpreting the Line Plot for Seedling Heights

#### Given:
The line plot shows the height of some seedlings after a week.

#### Line Plot:
- The x-axis represents the height of seedlings in inches.
- Each "X" represents one seedling.

#### Questions:

##### a) How tall was the tallest seedling?
The tallest seedling corresponds to the rightmost "X" on the line plot.

From the plot, the tallest seedling is 3¾ inches.

Answer: 3¾

##### b) How much taller was the tallest seedling than the shortest?
First, identify the height of the shortest seedling:
- The shortest seedling is 1 inch.

Next, calculate the difference between the tallest and shortest seedlings:
- Tallest seedling: 3¾ inches
- Shortest seedling: 1 inch
- Difference: \(3¾ - 1 = 2¾\) inches

Answer: 2¾

##### c) What was the most common seed height?
Count the number of "X"s for each height to determine the most common height.

- Height 1: 1 "X"
- Height 1¼: 1 "X"
- Height 1½: 1 "X"
- Height 1¾: 1 "X"
- Height 2: 1 "X"
- Height 2¼: 1 "X"
- Height 2½: 3 "X"s
- Height 2¾: 3 "X"s
- Height 3: 1 "X"
- Height 3½: 1 "X"
- Height 3¾: 1 "X"

The most common heights are 2½ and 2¾, each with 3 "X"s.

Answer: 2½ and 2¾

##### d) Fill in the table to show if each statement is true, false, or can't tell.

1. A quarter of the seedlings were below 2 inches tall.
- Count the number of seedlings below 2 inches:
- Height 1: 1 "X"
- Height 1¼: 1 "X"
- Height 1½: 1 "X"
- Height 1¾: 1 "X"
- Total: \(1 + 1 + 1 + 1 = 4\)
- There are 15 seedlings in total. A quarter of 15 is \(15 / 4 = 3.75\).
- Since 4 is greater than 3.75, this statement is true.

2. The tallest seedling got more water than the other seedlings.
- The line plot does not provide information about the amount of water each seedling received.
- Therefore, we can't tell if this statement is true or false.

3. Half of the seedlings were less than 2½ inches tall.
- Count the number of seedlings less than 2½ inches:
- Height 1: 1 "X"
- Height 1¼: 1 "X"
- Height 1½: 1 "X"
- Height 1¾: 1 "X"
- Height 2: 1 "X"
- Height 2¼: 1 "X"
- Total: \(1 + 1 + 1 + 1 + 1 + 1 = 6\)
- There are 15 seedlings in total. Half of 15 is \(15 / 2 = 7.5\).
- Since 6 is less than 7.5, this statement is false.

4. Most of the seeds were from 2 to 3 inches tall.
- Count the number of seedlings from 2 to 3 inches:
- Height 2: 1 "X"
- Height 2¼: 1 "X"
- Height 2½: 3 "X"s
- Height 2¾: 3 "X"s
- Height 3: 1 "X"
- Total: \(1 + 1 + 3 + 3 + 1 = 9\)
- There are 15 seedlings in total. Most means more than half, which is more than 7.5.
- Since 9 is greater than 7.5, this statement is true.

Final Table:

| Statement | True | False | Can't Tell |
|-------------------------------------------------|---------|---------|------------|
| A quarter of the seedlings were below 2 inches tall. | √ | | |
| The tallest seedling got more water than the other seedlings. | | | √ |
| Half of the seedlings were less than 2½ inches tall. | | √ | |
| Most of the seeds were from 2 to 3 inches tall. | √ | | |

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Final Answers:

1. a) 6 and 7
b) 2
c) True

2. a) 3¾
b) 2¾
c) 2½ and 2¾
d)
- A quarter of the seedlings were below 2 inches tall: True
- The tallest seedling got more water than the other seedlings: Can't tell
- Half of the seedlings were less than 2½ inches tall: False
- Most of the seeds were from 2 to 3 inches tall: True

Boxed Final Answer:
\[
\boxed{6 \text{ and } 7, 2, \text{True}, 3\frac{3}{4}, 2\frac{3}{4}, 2\frac{1}{2} \text{ and } 2\frac{3}{4}}
\]