A school collected data related to the reasons given by students for arriving late - HSC - SSCE Mathematics Standard - Question 10 - 2019 - Paper 1

To find the percentage of students who cited 'Train or bus delay' as their reason for arriving late, we refer to the Pareto chart presented.

1. Looking at the bar corresponding to 'Train or bus delay', we observe that it stands at approximately 30 late arrivals.

2. Next, we determine the total number of late arrivals by summing the heights of all the bars represented in the chart:

   • Slept in: 180
   • Family: 160
   • Appointment: 50
   • Train or bus delay: 30
   • Traffic problems: 20
   • Car breakdown: 10

   Total = 180 + 160 + 50 + 30 + 20 + 10 = 450

3. Now, we calculate the percentage of students that gave 'Train or bus delay' as the reason:

   ext{Percentage} = rac{ ext{Number of students citing 'Train or bus delay'}}{ ext{Total number of late arrivals}} imes 100

   = rac{30}{450} imes 100

   $= 6.67\%$

4. Rounding this to a reasonable figure, we conclude that approximately 6% of the students mentioned 'Train or bus delay', making the correct answer:

   A. 6%