Let's analyze the data provided for the year 2021 from the table and the additional information given in the question.

Understanding the Data for 2021

According to the table and the question:

• Year: 2021
• Percentage of valid votes polled: 60%
• Ratio of valid votes of male and females: 7 : 5
• Difference between valid votes polled by males and females: 300

Calculating Valid Votes in 2021

The ratio of valid votes for males and females is 7:5. This means that out of every \(7 + 5 = 12\) valid votes, 7 are from males and 5 are from females.

Let \(V_M\) be the number of valid male votes and \(V_F\) be the number of valid female votes in 2021.

The ratio can be written as \(\frac{V_M}{V_F} = \frac{7}{5}\).

The difference between the number of valid votes polled by males and females is given as 300:

\(V_M - V_F = 300\)

From the ratio, we can express \(V_M\) and \(V_F\) in terms of a common multiple, say \(k\). So, \(V_M = 7k\) and \(V_F = 5k\).

Substitute these into the difference equation:

\(7k - 5k = 300\)

\(2k = 300\)

\(k = \frac{300}{2}\)

\(k = 150\)

Now, we can find the number of valid male votes and valid female votes:

• Valid male votes \(V_M = 7k = 7 \times 150 = 1050\)
• Valid female votes \(V_F = 5k = 5 \times 150 = 750\)

Let's check the difference: \(V_M - V_F = 1050 - 750 = 300\), which matches the given information.

The total number of valid votes in 2021 is the sum of valid male and female votes:

\(V_{2021} = V_M + V_F = 1050 + 750 = 1800\)

Calculating Total Votes Polled in 2021

The question states that the number of valid votes polled in 2021 was 60% of the total votes polled in that year.

Let \(T_{2021}\) be the total number of votes polled in 2021.

We know that \(V_{2021} = 1800\).

So, \(1800 = 60\%\) of \(T_{2021}\)

\(1800 = \frac{60}{100} \times T_{2021}\)

\(1800 = 0.60 \times T_{2021}\)

To find \(T_{2021}\), we can rearrange the equation:

\(T_{2021} = \frac{1800}{0.60}\)

\(T_{2021} = \frac{1800}{\frac{6}{10}}\)

\(T_{2021} = 1800 \times \frac{10}{6}\)

\(T_{2021} = (1800 \div 6) \times 10\)

\(T_{2021} = 300 \times 10\)

\(T_{2021} = 3000\)

Therefore, the total number of votes polled in 2021 was 3000.

Summary of Calculations

Here is a summary of the steps taken:

1. Used the difference in male and female valid votes and their ratio to find the number of valid male and female votes.
2. Calculated the total number of valid votes by summing the valid male and female votes.
3. Used the percentage of valid votes relative to the total votes polled to find the total votes polled in 2021.

Revision Table - Election Data Analysis

Additional Information - Data Interpretation Tips

Data interpretation questions often require careful reading and calculation based on tables, charts, or graphs. Here are some tips:

• Read the question and understand exactly what is being asked.
• Identify the relevant data points from the table or chart for the specific question.
• Pay attention to units (e.g., numbers, percentages, ratios) and any missing values indicated.
• Break down the problem into smaller steps.
• Perform calculations accurately. Use ratios and percentages correctly.
• For ratio problems with a difference or sum, represent the quantities using a variable (e.g., 7k and 5k).
• For percentage problems, remember that percentage is 'out of 100'. Convert percentages to decimals or fractions for calculations.
• Double-check your calculations and ensure your final answer makes sense in the context of the problem.