Interpreting Graphs 3 PDF | PDF - Free Printable

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 younger.
- Match: Brenda (medium height and younger than Dennis but older than Cathy).

4. Dot 4:
- Position: Medium height and older.
- Match: Errol (medium height and older than Brenda).

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

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

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

#### Final Matching:
1. Dennis
2. Cathy
3. Brenda
4. Errol
5. Alice
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: 60
- Earth Science: 120
- Anatomy: 80
- Total: \( 160 + 140 + 60 + 120 + 80 = 560 \)

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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. Errol
- 5. Alice
- 6. Freda
- 7. Gavin

3. Bar Graph:
- a) Biology
- b) 140
- c) 80
- d) Anatomy
- e) 560

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Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
\text{1. a) C} \\
\text{ b) 25\%} \\
\text{ c) 10\%} \\
\text{ d) Yes, the class seems hard.} \\
\text{2. 1. Dennis} \\
\text{ 2. Cathy} \\
\text{ 3. Brenda} \\
\text{ 4. Errol} \\
\text{ 5. Alice} \\
\text{ 6. Freda} \\
\text{ 7. Gavin} \\
\text{3. a) Biology} \\
\text{ b) 140} \\
\text{ c) 80} \\
\text{ d) Anatomy} \\
\text{ e) 560} \\
\end{array}
}
\]