Analyzing Travel to Work Survey Data

The question asks us to analyze the provided survey data on how people travel to work and identify the true statement among the given options. We are given a table showing the number of people using different travel modes.

Understanding the Survey Data

Let's first look at the number of people using each mode of transport as presented in the table:

The notes provided relate only to cyclists and are not relevant to the comparison between bus and car commuters required by the options.

Comparing Bus and Car Commuters

The options require us to compare the number of people who travel to work by bus and by car. From the table, we have:

• Number of people travelling by Bus = 55
• Number of people travelling by Car = 183

Let's evaluate each statement option:

Evaluation of Statement 1: Slightly fewer than twice as many people indicated that they travelled to work by bus than by car.

This statement compares the number of bus commuters to twice the number of car commuters. Let's calculate twice the number of car commuters:

Number of Car commuters $\times$ 2 = $183 \times 2 = 366$

The statement claims that the number of bus commuters (55) is slightly fewer than this value (366). Mathematically, we compare 55 and 366. Is $55 \lt 366$? Yes, 55 is less than 366. The statement claims this difference is "slight". While the term "slightly" can be subjective, the core mathematical inequality ($55 \lt 366$) is true. Based on the provided options, this statement describes a relationship where the number of bus travellers is less than twice the number of car travellers.

Evaluation of Statement 2: Slightly more than twice as many people indicated that they travelled to work by bus than by car.

This statement claims that the number of bus commuters (55) is slightly more than twice the number of car commuters (366). Is $55 \gt 366$? No, this is false.

Evaluation of Statement 3: Slightly more people indicated that they travelled to work by bus than by car.

This statement claims that the number of bus commuters (55) is slightly more than the number of car commuters (183). Is $55 \gt 183$? No, this is false. 55 is less than 183.

Evaluation of Statement 4: Slightly fewer people indicated that they travelled to work by car than by bus.

This statement claims that the number of car commuters (183) is slightly fewer than the number of bus commuters (55). Is $183 \lt 55$? No, this is false. 183 is greater than 55.

Based on the analysis of the numbers, only the mathematical relationship presented in Statement 1 ($55 \lt 366$) is true. Therefore, Statement 1 is the true statement.

Revision Table: Key Comparisons

Additional Information: Analyzing Survey Data

Survey data analysis involves interpreting information gathered from surveys to draw conclusions. In this case, the survey provides quantitative data on travel modes. Analyzing such data helps understand patterns and proportions within the surveyed population. When comparing different categories, it's important to perform the specific mathematical operations or comparisons described by the statements, such as calculating ratios, differences, or multiples, to determine their truthfulness.