Interpret Pie Charts Worksheet for 4th - 6th Grade | Lesson Planet - Free Printable

Problem Analysis:

The task involves interpreting data presented in a pie chart and calculating percentages based on the given information. Let's break it down step by step.

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#### Part 1: Understanding the Pie Chart
The pie chart shows the distribution of characters in a dataset, categorized into four types:
- Female: 30%
- Male: 45%
- Non-binary: 15%
- Other: 10%

The total percentage adds up to 100%, which is correct for a pie chart.

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#### Part 2: Solving the Questions

##### Question 1: If 600 records were digitized, how many were female?
- The pie chart indicates that 30% of the records are female.
- To find the number of female records out of 600:
$$
\text{Number of female records} = 600 \times \frac{30}{100} = 600 \times 0.3 = 180
$$

Answer: 180

##### Question 2: If one of the records was sold at an auction, what is the probability that it was male?
- The pie chart shows that 45% of the records are male.
- Probability is calculated as the percentage of male records divided by 100:
$$
\text{Probability (male)} = \frac{45}{100} = 0.45
$$

Answer: 0.45 or 45%

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#### Part 3: Completing the Pie Chart for Source
The pie chart for the source of the records is partially filled with the following categories:
- Internet: 35%
- Library: 25%
- Archive: 20%
- Other: Unknown

To complete the pie chart, we need to calculate the percentage for "Other":
- Total percentage must equal 100%.
- Sum of known percentages:
$$
35\% + 25\% + 20\% = 80\%
$$
- Percentage for "Other":
$$
100\% - 80\% = 20\%
$$

Thus, the completed pie chart for the source is:
- Internet: 35%
- Library: 25%
- Archive: 20%
- Other: 20%

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#### Part 4: Solving the Questions Based on the Source
##### Question 3: If 5000 records were digitized, how many came from Scotland?
- The pie chart does not explicitly mention "Scotland." However, if we assume "Scotland" is part of the "Other" category (since no specific region is mentioned), we can use the percentage for "Other."
- From the completed pie chart, 20% of the records come from "Other."
- To find the number of records from Scotland (assuming all "Other" records are from Scotland):
$$
\text{Number of records from Scotland} = 5000 \times \frac{20}{100} = 5000 \times 0.2 = 1000
$$

Answer: 1000

##### Question 4: If 5000 records were digitized, how many came from Japan?
- The pie chart does not mention "Japan" explicitly. Since no specific country is listed under any category, we cannot determine the number of records from Japan based on the given data.
- Answer: Cannot be determined from the given information.

##### Question 5: If 5000 records were digitized, how many came from English-speaking countries?
- The pie chart does not specify which countries are included in each category. Without additional information about which countries are considered "English-speaking," we cannot determine the number of records from English-speaking countries.
- Answer: Cannot be determined from the given information.

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Final Answers:

1. 180
2. 0.45
3. 1000
4. Cannot be determined
5. Cannot be determined

$$
\boxed{180, 0.45, 1000, \text{Cannot be determined}, \text{Cannot be determined}}
$$