Photo AI
The following question was asked on the phase 9 Census4School questionnaire: "Approximately how many hours per week do you spend on social networking sites?" The data below are from two samples of students chosen at random from the UK and Ireland - Junior Cycle Mathematics - Question 5 - 2014
Question 5
The following question was asked on the phase 9 Census4School questionnaire: "Approximately how many hours per week do you spend on social networking sites?" The d... show full transcript
Worked Solution & Example Answer:The following question was asked on the phase 9 Census4School questionnaire: "Approximately how many hours per week do you spend on social networking sites?" The data below are from two samples of students chosen at random from the UK and Ireland - Junior Cycle Mathematics - Question 5 - 2014
Step 1
How many students are in each sample?
Answer
To find the total number of students in each sample, we can sum the number of students for each number of hours.
For the UK sample:
egin{align*} 0 + 0 + 1 + 2 + 1 + 2 + 7 + 0 + 1 + 1 + 0 + 0 + 0 + 0 + 0 + 1 + 5 + 2 + 4 + 3 + 2 + 3 + 1 + 0 + 1 = 50
d = 50 \text{ students.} \end{align*}
For the Ireland sample:
egin{align*} 1 + 1 + 3 + 2 + 2 + 0 + 3 + 1 + 0 + 3 + 2 + 1 + 0 + 1 + 1 + 5 + 1 + 2 + 0 + 2 + 0 + 0 + 0 + 4 = 50
d = 50 \text{ students.} \end{align*}
Thus, both the UK and Ireland samples contain 50 students.
Step 2
Display the data in a way that allows you to compare the two samples.
Answer
To compare the two samples, we can use bar graphs that display the number of students against the number of hours spent on social networking sites.
Bar Graph for UK Students
- 0 hours: 0 students
- 1 hour: 0 students
- 2 hours: 1 student
- ...
- 25 hours: 1 student
Bar Graph for Ireland Students
- 0 hours: 1 student
- 1 hour: 1 student
- 2 hours: 1 student
- ...
- 25 hours: 4 students
Both bar graphs should illustrate trends for easy comparison.
Step 3
Based on your answer to part (ii), write down one similarity and one difference between the two samples.
Answer
Similarity: In both samples, the 16-20 hour range contains the highest number of students.
Difference: The data from Ireland is more evenly distributed across hours, whereas the UK data shows heavier usage in the 16-20 hour range.
Step 4
Based on the data in the table, is it true to say there are differences?
Answer
Yes, it is true to say there are differences between the Irish and UK students regarding the time they spend on social networking sites.
The modal segment for the UK students is between 16 and 20 hours, while for the Irish students it is between 11 and 15 hours. This indicates a significant difference in social media usage patterns.