Name: _ Graph Worksheet Graphing & Intro to Science A. Graph the ... - Free Printable

Problem Analysis:

The task involves creating a bar graph based on the given data and answering questions about the variables, title, and average values. Let's break it down step by step.

#### Given Data:
| Month | # of deer |
|-------|-----------|
| Sept | 38 |
| Oct | 32 |
| Nov | 26 |
| Dec | 20 |
| Jan | 15 |
| Feb | 12 |

#### Tasks:
1. Graph the information in a bar graph.
2. Label the x-axis and y-axis appropriately.
3. Answer the following questions:
- What is the independent variable?
- What is the dependent variable?
- What is an appropriate title for the graph?
- What is the average number of deer per month?

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Step-by-Step Solution:

#### 1. Creating the Bar Graph:
- X-axis (Horizontal Axis): This represents the "Month." Label it as "Month" and include the months: Sept, Oct, Nov, Dec, Jan, Feb.
- Y-axis (Vertical Axis): This represents the "# of deer." Label it as "# of Deer" and scale it to accommodate the highest value (38) and the lowest value (12). A reasonable scale could be from 0 to 40 with intervals of 5.
- For each month, draw a vertical bar whose height corresponds to the number of deer.

#### 2. Labeling the Axes:
- X-axis: Label it as "Month."
- Y-axis: Label it as "# of Deer."

#### 3. Answering the Questions:

##### (a) Independent Variable:
- The independent variable is the variable that is controlled or manipulated in an experiment. In this case, the months are fixed and not influenced by the number of deer. Therefore, the independent variable is:
Month

##### (b) Dependent Variable:
- The dependent variable is the variable that changes in response to the independent variable. Here, the number of deer depends on the month. Therefore, the dependent variable is:
# of Deer

##### (c) Appropriate Title:
- An appropriate title should summarize what the graph represents. Based on the data, a suitable title could be:
"Number of Deer per Month"

##### (d) Average Number of Deer per Month:
- To find the average number of deer per month, sum the number of deer for all months and divide by the total number of months (6).
\[
\text{Average} = \frac{\text{Sum of deer}}{\text{Number of months}}
\]
- Sum of deer: \( 38 + 32 + 26 + 20 + 15 + 12 = 143 \)
- Number of months: 6
- Average:
\[
\text{Average} = \frac{143}{6} \approx 23.83
\]

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Final Answers:

1. Independent Variable: Month
2. Dependent Variable: # of Deer
3. Appropriate Title: Number of Deer per Month
4. Average Number of Deer per Month: \(\boxed{23.83}\)

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Graph Visualization (Description):

- The x-axis is labeled "Month" with categories: Sept, Oct, Nov, Dec, Jan, Feb.
- The y-axis is labeled "# of Deer" with a scale from 0 to 40.
- Bars are drawn for each month with heights corresponding to the number of deer:
- Sept: 38
- Oct: 32
- Nov: 26
- Dec: 20
- Jan: 15
- Feb: 12

This completes the task! If you need further clarification or assistance, feel free to ask.