Understanding the Survey Findings on Travel to Work

The question asks us to determine the number of survey respondents who indicated they cycled to work and were also over 65 years of age. We are provided with a table showing how people travel to work and some important notes based on the survey findings.

Analyzing the Provided Data

First, let's look at the table that shows the number of people using different modes of transport to travel to work:

The table clearly states that 72 people cycled to work.

Next, we need to consider the notes provided. Note (a) is particularly relevant to our question:

• Note (a): 1 in 8 of the people who cycled to work were found to be over 65 years of age.
• Note (b): 1 in 3 of the Cyclists stated that they travelled to work by bus on rainy days. (This note is not needed to answer the current question).

Calculating the Number of Cyclists Over 65

Based on Note (a), the number of people who cycled to work and were over 65 is a fraction of the total number of cyclists. The fraction is stated as 1 in 8, which can be written mathematically as $\frac{1}{8}$.

To find the number of cyclists over 65, we need to multiply the total number of cyclists by this fraction:

Number of cyclists over 65 = (Fraction of cyclists over 65) $\times$ (Total number of cyclists)

Using the numbers from the table and Note (a):

Number of cyclists over 65 = $\frac{1}{8} \times 72$

Performing the Calculation

Now, let's perform the multiplication:

$\frac{1}{8} \times 72 = \frac{72}{8}$

Dividing 72 by 8:

$\frac{72}{8} = 9$

So, 9 respondents indicated that they cycled to work and were over 65 years of age.

Conclusion: Survey Respondents Cycling and Over 65

Based on the survey data and the provided notes, 9 respondents fit the criteria of having cycled to work and being over 65 years of age.

Revision Table: Key Survey Concepts

Additional Information: Analyzing Modes of Transport Data

Analyzing how people travel to work provides valuable insights for urban planning, traffic management, and public health initiatives. Survey data, like the table presented, is a common way to gather this information. When analyzing such data, it's important to:

• Look at the overall distribution across different modes (Cycle, Car, Bus, Walk).
• Identify the most popular modes and the least popular ones.
• Pay close attention to any additional notes or conditions that provide specific details about subgroups within the data, as seen with the cyclists over 65 in this question.
• Understand the context – for example, is this a survey in a specific city, region, or country? This context can affect the prevalence of different transport modes.

Such data can help policymakers understand commuting patterns and plan infrastructure or services accordingly, promoting sustainable or healthier transport options.