2026-08-29T20:03:29.674853 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/ © EAGLE BEACON GLOBAL 00.511.522.5010306090120Stay length (minutes)Freq...
Question 1 Report
A car park recorded the stay length, in minutes, of every vehicle on a Friday. The histogram shows the frequency density for each interval.
- Given that 64 vehicles stayed between 10 and 30 minutes, work out the frequency density of that class. (2)
- Using the graph, work out the frequency of vehicles that stayed between 30 and 60 minutes. (2)
Answer Details
On a histogram, frequency density is frequency divided by class width, so a frequency density is found from a known frequency by dividing, and a frequency is found from a known (or read-off) frequency density by multiplying by the class width.
- The class \(10<t\le30\) has width \(30-10=20\) minutes, so frequency density \(=64\div20\) [1 mark] \(=3.2\) [1 mark]
- The histogram shows a frequency density of \(1.8\) for the class \(30<t\le60\), which has width \(60-30=30\) minutes, so the frequency for that class is \(1.8\times30\) [1 mark] \(=54\) vehicles [1 mark]
Download The App On Google Playstore
Everything you need to excel in your exams
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning