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Question

The following table presents the findings of a survey into how people travel to work :

Number of People Travelling to Work by
Cycle CarBusWalk
72183555

Note :

(a) 1 in 8 of the people who cycled to work were found to be over 65 years of age.

(b) 1 in 3 of the Cyclists stated that they travelled to work by bus on rainy days.

Based on the above, answer the question :

How many more people indicated that they cycled to work compared with those who travelled by either bus or car?

The correct answer is

19

Analyzing Travel to Work Survey Data

The question asks us to find the difference between the number of people who indicated they cycle to work and the total number of people who travel by either bus or car, based on the provided survey data.

Survey Findings Overview

Let's first look at the data presented in the table:

Mode of Travel Number of People
Cycle 72
Car 18
Bus 35
Walk 55

The notes provide additional context about cyclists but are not needed for this specific calculation.

Step-by-Step Calculation

1. Identify the number of people who cycled to work:

From the table, the number of people who cycled to work is 72.

2. Calculate the total number of people who travelled by either bus or car:

This requires summing the number of people who travelled by bus and those who travelled by car.

  • Number of people travelling by Bus = 35
  • Number of people travelling by Car = 18

Total people by bus or car = Number of Bus travellers + Number of Car travellers

\(\text{Total (Bus or Car)} = 35 + 18\)

\(\text{Total (Bus or Car)} = 53\)

So, 53 people travelled by either bus or car.

3. Calculate the difference between the number of cyclists and those who travelled by bus or car:

The question asks how many more people cycled compared to those who used bus or car. This means we subtract the number of bus/car travellers from the number of cyclists.

Difference = Number of Cyclists - Total people by Bus or Car

\(\text{Difference} = 72 - 53\)

\(\text{Difference} = 19\)

The calculation shows that 19 more people indicated they cycled to work compared with those who travelled by either bus or car.

Final Answer

Based on the calculations, there are 19 more people who cycle to work compared to those who travel by bus or car.

Revision Table: Travel Survey Data Analysis

Metric Value Calculation/Source
People Cycling 72 From table
People by Bus 35 From table
People by Car 18 From table
Total People by Bus or Car 53 Bus + Car (\(35 + 18\))
Difference (Cycle vs Bus/Car) 19 Cycle - (Bus + Car) (\(72 - 53\))

Additional Information: Interpreting Survey Data

Interpreting survey data like this involves understanding what each piece of information represents and how different categories relate to each other. In this case, we focused on comparing specific groups (cyclists vs. bus/car users). Surveys often include additional data points (like the notes provided) that might be used for different types of analysis, such as looking at demographics (age over 65) or conditional behaviour (travel mode on rainy days). It's important to read the question carefully to determine exactly which parts of the data are relevant to the required calculation or analysis.

Basic data analysis often involves:

  • Summing values for categories.
  • Calculating differences between categories.
  • Finding averages or percentages (though not required here).

This type of question tests your ability to extract relevant information from a dataset and perform simple arithmetic operations.

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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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