Understanding the Election Data and Question

The question provides a table showing election data for five years (2018-2022), including the number of votes polled, the percentage of valid votes, and the ratio of male to female valid votes. Some values are missing. We are given an additional piece of information: the average number of valid votes polled in 2019 and 2022 was 1270. We need to find the number of valid votes polled by females in 2019 based on this information.

Step-by-Step Calculation of Valid Votes

First, let's use the given average of valid votes in 2019 and 2022 to find their total.

• Average of valid votes in 2019 and 2022 = 1270
• Sum of valid votes in 2019 and 2022 = Average × Number of years
• Sum of valid votes in 2019 and 2022 = \(1270 \times 2 = 2540\)

Next, let's calculate the number of valid votes in 2022 using the data from the table.

• From the table, for the year 2022:
• Number of votes polled = 5000
• Percentage of valid votes = 40%
• Number of valid votes in 2022 = \(40\%\) of 5000
• Number of valid votes in 2022 = \(\frac{40}{100} \times 5000 = 0.40 \times 5000 = 2000\)

Now we know the sum of valid votes in 2019 and 2022 is 2540, and the valid votes in 2022 is 2000. We can find the valid votes in 2019.

• Valid votes in 2019 + Valid votes in 2022 = 2540
• Valid votes in 2019 + 2000 = 2540
• Valid votes in 2019 = \(2540 - 2000 = 540\)

So, the total number of valid votes polled in 2019 was 540.

Calculating Female Valid Votes in 2019

The table provides the ratio of valid votes of male and females for the year 2019.

• From the table, for the year 2019:
• Ratio of valid votes (Male : Female) = 5 : 4

This means that for every 5 valid votes polled by males, there were 4 valid votes polled by females. The total valid votes (540) are divided according to this ratio.

• Total parts in the ratio = \(5 + 4 = 9\) parts
• The total valid votes (540) corresponds to 9 parts.
• Value of one part = \(\frac{\text{Total Valid Votes}}{\text{Total Ratio Parts}} = \frac{540}{9} = 60\)

The number of valid votes polled by females in 2019 corresponds to 4 parts of the ratio.

• Number of valid votes by females in 2019 = Value of one part × Number of female parts
• Number of valid votes by females in 2019 = \(60 \times 4 = 240\)

Therefore, the number of valid votes polled by females in 2019 was 240.

Summary of Results

Based on our calculations, the number of valid votes polled by females in 2019 was 240.

Revision Table: Key Election Data Concepts

Additional Information: Data Interpretation Techniques

Solving data interpretation questions from tables often involves combining information presented directly in the table with external conditions given in the question. Key techniques include:

• Careful Reading: Understand exactly what the question is asking and what information is provided.
• Identifying Missing Information: Note the '-' entries and determine which ones are necessary for the specific question.
• Using Additional Conditions: Incorporate any conditions outside the table (like averages, differences, etc.) to find missing values.
• Applying Formulas: Use basic percentage, ratio, and average calculations.
• Step-by-Step Approach: Break down the problem into smaller, manageable steps.
• Checking Units: Ensure consistency in units and values (e.g., working with raw numbers vs. percentages).

These skills are crucial for accurately extracting and manipulating data to arrive at the correct answer in data interpretation problems.