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The following question was asked as part of a survey: How do you usually travel to work? Circle one of the following - Junior Cycle Mathematics - Question 2 - 2019
Question 2
The following question was asked as part of a survey: How do you usually travel to work? Circle one of the following. Walk or cycle Bus or train Car Other (a) Put... show full transcript
Worked Solution & Example Answer:The following question was asked as part of a survey: How do you usually travel to work? Circle one of the following - Junior Cycle Mathematics - Question 2 - 2019
Step 1
Step 2
Step 3
c) Complete the table by filling in the three missing percentages.
Answer
To complete the table, we need to calculate the missing values:
For 2016:
- Percentage not stated for men: 5.3%
- Percentage walk or cycle for women: 12.2%
- Percentage bus or train for women: 10.5%
The completed table is as follows:
| Way of travelling | Percentage in 2006 | Percentage in 2016 |
|---|---|---|
| Walk or Cycle | 12.1 | 12.2 |
| Bus or Train | 8.0 | 8.3 |
| Car | 62.6 | 60.0 |
| Other | 15.3 | 14.2 |
| Not stated | 1.0 | 5.3 |
| Total | 100.0 | 100.0 |
Step 4
d) Evie says: "In 2006, women were more likely to walk or cycle to work than men." Show that Evie is correct, using numbers from the table.
Answer
In 2006, the percentage of women who walked or cycled was 15.4%, while the percentage of men was only 12.1%. Therefore, Evie's statement is correct as 15.4% (women) > 12.1% (men).
Step 5
e) Alison says: "More women must have travelled to work by car in 2016 than in 2006, because 71-9% travelled by car in 2016 but only 71-4% did in 2006." Is Alison correct? Tick (✓) one box only. Give a reason for your answer.
Answer
Alison is not correct. She assumes that the percentage in 2016 applies to a smaller overall population, thus leading to potentially misleading conclusions. The percentages correspond to different total numbers of commuters.
Step 6
f) In total in 2016, roughly 990 000 men and 880 000 women travelled to work. Using the figures in the table, work out the total percentage of people who travelled to work by bus or train in 2016.
Answer
To find the percentage of people who travelled by bus or train in 2016:
- Total percentage for bus or train (men and women) = 8.3% (men) + 10.5% (women) = 18.8%
- Total number of people = 990,000 + 880,000 = 1,870,000
- Total number who travelled by bus or train = 1,870,000 * 0.188 = 351,560, giving total percentage: 18.8%.
Step 7
g)(i) Complete the table below showing the angle in a pie chart for each of the ways men travelled to work in 2016. Show your work.
Answer
To calculate the angles for each method:
- Walk or cycle: rac{12.2}{100} imes 360 = 43.92^ ext{°}
- Bus or train: rac{8.3}{100} imes 360 = 29.88^ ext{°}
- Car: rac{60.0}{100} imes 360 = 216^ ext{°}
- Other: rac{14.2}{100} imes 360 = 51.12^ ext{°}
- Not stated: rac{5.3}{100} imes 360 = 19.08^ ext{°}.
Step 8