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A school collected data related to the reasons given by students for arriving late - HSC - SSCE Mathematics Standard - Question 10 - 2019 - Paper 1
Question 10
A school collected data related to the reasons given by students for arriving late. The Pareto chart shows the data collected. What percentage of students gave the ... show full transcript
Worked Solution & Example Answer:A school collected data related to the reasons given by students for arriving late - HSC - SSCE Mathematics Standard - Question 10 - 2019 - Paper 1
Step 1
What percentage of students gave the reason 'Train or bus delay'?
Answer
To find the percentage of students who cited 'Train or bus delay' as the reason for arriving late, we first look at the bar corresponding to this reason on the Pareto chart.
From the chart, we can see the number of late arrivals due to 'Train or bus delay' is approximately 30 students.
To calculate the percentage, we use the formula:
ext{Percentage} = rac{ ext{Number of students who cited this reason}}{ ext{Total number of late arrivals}} imes 100
We also check the total number of late arrivals represented in the chart, which adds up to 200.
Substituting in the numbers:
ext{Percentage} = rac{30}{200} imes 100 = 15\%
Thus, the percentage of students who gave the reason 'Train or bus delay' is 15%. Therefore, the answer is B. 15%.