Let's solve the problem step by step.
---
Task:
We are given the weights (in pounds) of 25 students from a health camp. We need to
make a line plot to represent this data.
---
Step 1: Understand the Data
The weights of 25 students are listed:
```
68, 65, 63, 63, 62
64, 65, 61, 65, 61
64, 66, 64, 61, 64
65, 68, 62, 61, 62
65, 63, 66, 67, 64
```
Let’s organize the data by counting how many times each weight appears.
---
Step 2: Tally the Frequencies
We'll count how many students have each weight:
| Weight | Frequency |
|--------|-----------|
| 61 | 4 |
| 62 | 3 |
| 63 | 3 |
| 64 | 5 |
| 65 | 5 |
| 66 | 2 |
| 67 | 1 |
| 68 | 2 |
Let’s verify:
- 4 + 3 + 3 + 5 + 5 + 2 + 1 + 2 =
25 ✔
---
Step 3: Draw the Line Plot
A
line plot uses a number line to show frequency of data points. Each X above the number represents one occurrence.
We are given the number line:
```
<----|----|----|----|----|----|----|---->
61 62 63 64 65 66 67 68
```
Now, place an "X" for each occurrence:
-
61: 4 X's → `XXXX`
-
62: 3 X's → `XXX`
-
63: 3 X's → `XXX`
-
64: 5 X's → `XXXXX`
-
65: 5 X's → `XXXXX`
-
66: 2 X's → `XX`
-
67: 1 X → `X`
-
68: 2 X's → `XX`
---
Final Line Plot:
```
Weight (in pounds)
<----|----|----|----|----|----|----|---->
61 62 63 64 65 66 67 68
XXXX XXX XXX XXXXX XXXXX XX X XX
```
(Each "X" is placed above the corresponding weight.)
---
Explanation:
- The
number line shows the range of weights.
- Each
X above a number represents
one student with that weight.
- The
height of the stack of X's shows the
frequency of that weight.
---
✔ Final Answer:
Create a line plot with the following frequencies:
| Weight | Number of X's |
|--------|----------------|
| 61 | 4 |
| 62 | 3 |
| 63 | 3 |
| 64 | 5 |
| 65 | 5 |
| 66 | 2 |
| 67 | 1 |
| 68 | 2 |
Draw the X's above each number on the number line accordingly.
This visual representation helps us quickly see which weights are most common (like 64 and 65 lbs) and how the data is distributed.
Parent Tip: Review the logic above to help your child master the concept of creating line plots worksheet.