Worksheet on interpreting graphs including pie chart, scatter plot, and bar graph.

Problem Analysis and Solution

The document contains three distinct sections, each involving different types of graphs (pie chart, scatter plot, and bar graph). Below is a detailed explanation and solution for each section.

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Section 1: Interpreting the Pie Chart

#### Given Information:
- The pie chart represents Mr. M's class grades.
- Grades are categorized as A's, B's, C's, and D's.

#### Questions:
1. a) The largest percentage of students received what grade?
- Solution: By visually inspecting the pie chart, the largest section corresponds to "C's." Therefore, the largest percentage of students received a C.

2. b) Estimate what percentage of the class received a B.
- Solution: The "B's" section appears to occupy approximately one-fourth of the pie chart. Since a full circle represents 100%, one-fourth would be around 25%.

3. c) Estimate what percentage of the class received an A.
- Solution: The "A's" section is the smallest, occupying roughly one-tenth of the pie chart. Thus, the percentage of students who received an A is approximately 10%.

4. d) Based on the graph, do you think Mr. M's class is hard? Explain.
- Solution: The majority of students received a C, with relatively few receiving A's or B's. This suggests that the class might be challenging, as fewer students achieved higher grades.

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Section 2: Interpreting the Scatter Plot

#### Given Information:
- The scatter plot shows the height and age of passengers waiting at a bus stop.
- There are seven dots on the scatter plot, each corresponding to one of the passengers: Alice, Brenda, Cathy, Dennis, Errol, Freda, and Gavin.

#### Questions:
- Identify which dot goes with which passenger.

#### Solution:
To match the dots with the passengers, we need to consider both their heights and ages as depicted in the scatter plot and the image of the passengers.

1. Dot 1:
- Position: Tall and older.
- Match: Dennis (tallest and oldest).

2. Dot 2:
- Position: Short and young.
- Match: Cathy (shortest and youngest).

3. Dot 3:
- Position: Medium height and medium age.
- Match: Brenda (medium height and medium age).

4. Dot 4:
- Position: Medium height and younger.
- Match: Alice (medium height and younger than Dennis).

5. Dot 5:
- Position: Medium height and older.
- Match: Errol (medium height and older than Alice).

6. Dot 6:
- Position: Short and older.
- Match: Freda (short and older).

7. Dot 7:
- Position: Medium height and younger.
- Match: Gavin (medium height and younger than Errol).

#### Final Matching:
1. Dennis
2. Cathy
3. Brenda
4. Alice
5. Errol
6. Freda
7. Gavin

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Section 3: Interpreting the Bar Graph

#### Given Information:
- The Precision II School has 400 students.
- The bar graph compares the number of students enrolled in different classes: Biology, Chemistry, Physics, Earth Science, and Anatomy.

#### Questions:
1. a) What class has the highest enrollment?
- Solution: The tallest bar corresponds to Biology, indicating it has the highest enrollment.

2. b) How many students are enrolled in Chemistry?
- Solution: The bar for Chemistry reaches up to 140 students.

3. c) How many are enrolled in Anatomy?
- Solution: The bar for Anatomy reaches up to 80 students.

4. d) Which course is the least popular?
- Solution: The shortest bar corresponds to Anatomy, indicating it is the least popular course.

5. e) How many students are enrolled total in all the classes?
- Solution: Sum the enrollments from all classes:
- Biology: 160
- Chemistry: 140
- Physics: 90
- Earth Science: 130
- Anatomy: 80
- Total: \( 160 + 140 + 90 + 130 + 80 = 600 \)

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Final Answers:

1. Pie Chart:
- a) C
- b) 25%
- c) 10%
- d) Yes, the class seems hard because most students received C's.

2. Scatter Plot:
- 1. Dennis
- 2. Cathy
- 3. Brenda
- 4. Alice
- 5. Errol
- 6. Freda
- 7. Gavin

3. Bar Graph:
- a) Biology
- b) 140
- c) 80
- d) Anatomy
- e) 600

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Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
\text{1. a) C} \\
\text{ b) 25\%} \\
\text{ c) 10\%} \\
\text{ d) Yes, the class seems hard.} \\
\text{2. 1. Dennis} \\
\text{ 2. Cathy} \\
\text{ 3. Brenda} \\
\text{ 4. Alice} \\
\text{ 5. Errol} \\
\text{ 6. Freda} \\
\text{ 7. Gavin} \\
\text{3. a) Biology} \\
\text{ b) 140} \\
\text{ c) 80} \\
\text{ d) Anatomy} \\
\text{ e) 600} \\
\end{array}
}
\]