Let's go through the problem step by step and solve it completely.
---
Given Data:
| Month | # of Deer |
|-------|-----------|
| Sept | 38 |
| Oct | 32 |
| Nov | 26 |
| Dec | 20 |
| Jan | 15 |
| Feb | 12 |
We are asked to:
1. Graph this data as a
bar graph.
2. Label and number the x- and y-axes appropriately.
3. Answer questions about variables, title, and average.
---
##
✔ Step 1: Graphing the Bar Graph
You’ve already started drawing bars on the grid. Let’s verify the correct way to do it.
X-axis (Horizontal):
- This should represent the
independent variable:
Month
- Label: "Month"
- Tick marks: Sept, Oct, Nov, Dec, Jan, Feb (each month gets its own bar)
Y-axis (Vertical):
- This represents the
dependent variable:
Number of Deer
- Label: "# of Deer"
- Scale: Since the highest value is 38, we can scale the y-axis from 0 to 40 in increments of 5 or 10.
- You’ve labeled up to 100, which is too high — but you can use
every 5 units starting at 0 to 40.
- For example:
- 0, 5, 10, 15, 20, 25, 30, 35, 40
- Each square could represent 5 units (or 1 unit if space allows).
Now draw bars for each month:
- Sept: 38 → almost to 40
- Oct: 32 → just below 35
- Nov: 26 → between 25 and 30
- Dec: 20 → exactly at 20
- Jan: 15 → at 15
- Feb: 12 → slightly above 10
Make sure bars are evenly spaced and same width.
---
##
✔ Answers to Questions:
1. What is the independent variable?
>
Month
✔ Reason: The months are being used to *track* changes over time. They are not influenced by the number of deer — they are the fixed categories.
---
2. What is the dependent variable?
>
Number of deer
✔ Reason: The number of deer depends on the month — it changes with time.
---
3. What is an appropriate title?
>
"Number of Deer Observed per Month"
> or
>
"Deer Population Over Time (Sept–Feb)"
✔ A good title summarizes what the graph shows — the trend in deer count across months.
*(You wrote “Deer observed observed” — likely a typo. Corrected version: “Deer Observed per Month”)*
---
4. What is the average number of deer per month?
To find the average:
$$
\text{Average} = \frac{\text{Sum of all values}}{\text{Number of months}}
$$
Add up the numbers:
$$
38 + 32 + 26 + 20 + 15 + 12 = 143
$$
There are 6 months:
$$
\frac{143}{6} = 23.833...
$$
So, the average is approximately:
>
23.8 (or
24 if rounded to nearest whole number)
✔ Final answer:
23.8 (or
~24) deer per month
---
##
✔ Summary of Answers:
1.
Independent variable: Month
2.
Dependent variable: Number of deer
3.
Appropriate title: *"Number of Deer Observed per Month"*
4.
Average number of deer per month: 23.8
---
📊 Final Tips for Graph:
- Title the graph clearly.
- Label both axes.
- Use consistent spacing and bar width.
- Make sure the scale on the y-axis matches your data (don’t go too high).
- Include units on axes (e.g., “# of Deer”).
Let me know if you’d like a digital version of the graph!
Parent Tip: Review the logic above to help your child master the concept of graph worksheet graphing and intro to science.
