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Worksheet titled "Interpreting Graphs" featuring a pie chart, bar graph, and scatter plot with questions about student grades, weather, and class enrollment.

Interpreting Graphs worksheet with pie chart, bar graph, and scatter plot showing student data.

Interpreting Graphs worksheet with pie chart, bar graph, and scatter plot showing student data.

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Problem: Interpreting Graphs



#### Part 1: Grades Graph
The first graph is a pie chart showing the distribution of grades received by Mr. Liu's class.

##### Questions:
1. What grade did most students receive?
2. Estimate what percentage of the data is represented by each grade.
3. If this graph shows only 90% of the data, do you think it affects the answer to question 1? Why or why not?

##### Solution:
1. What grade did most students receive?
- From the pie chart, the largest section corresponds to the grade "B". Therefore, most students received a B.

2. Estimate what percentage of the data is represented by each grade:
- A: The section labeled "A" appears to be approximately 15% of the pie chart.
- B: The section labeled "B" appears to be the largest, roughly around 40%.
- C: The section labeled "C" appears to be about 30%.
- D: The section labeled "D" appears to be around 10%.
- F: The section labeled "F" appears to be the smallest, roughly around 5%.

So, the estimated percentages are:
- A: ~15%
- B: ~40%
- C: ~30%
- D: ~10%
- F: ~5%

3. If this graph shows only 90% of the data, do you think it affects the answer to question 1? Why or why not?
- If the graph shows only 90% of the data, it means that 10% of the data is missing. However, since the largest section (grade "B") is significantly larger than any other section, even if the missing 10% were all from another grade, it is unlikely to change the fact that "B" is still the most common grade.
- For example, if the missing 10% were all "A"s, the new distribution would be:
- A: ~25%
- B: ~40%
- C: ~30%
- D: ~10%
- F: ~5%
- Even in this extreme case, "B" would still be the most common grade. Therefore, the answer to question 1 is not likely to be affected.

#### Part 2: Bar Graph
The second graph is a bar chart comparing the number of students enrolled in different classes.

##### Questions:
1. Which class has more students enrolled, Orchestra or Anatomy?
2. Which course is the least popular?

##### Solution:
1. Which class has more students enrolled, Orchestra or Anatomy?
- From the bar graph, the height of the bar for "Orchestra" is higher than the bar for "Anatomy". Therefore, Orchestra has more students enrolled.

2. Which course is the least popular?
- The least popular course is the one with the shortest bar. From the graph, the shortest bar corresponds to Art. Therefore, Art is the least popular course.

#### Part 3: Adding a Bar
The task is to add a bar for "Spanish" with 25 students enrolled.

##### Solution:
- To add the bar for "Spanish," draw a new bar next to the existing bars. The height of the bar should correspond to 25 students, which is similar to the height of the "Science" bar.

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Final Answers:


1. Most students received a grade of: $\boxed{B}$
2. Estimated percentages:
- A: ~15%
- B: ~40%
- C: ~30%
- D: ~10%
- F: ~5%
3. Does the missing 10% affect the answer to question 1? No, because "B" is significantly larger than any other grade.
4. Which class has more students enrolled, Orchestra or Anatomy? $\boxed{\text{Orchestra}}$
5. Which course is the least popular? $\boxed{\text{Art}}$
6. Add the bar for Spanish with 25 students enrolled. (Draw the bar as described above.)

$\boxed{B, \text{~15%, ~40%, ~30%, ~10%, ~5%}, \text{No}, \text{Orchestra}, \text{Art}, \text{Add the bar for Spanish}}$
Parent Tip: Review the logic above to help your child master the concept of read a graph worksheet.
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