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The times that 48 trains left a station on Monday were recorded - Edexcel - GCSE Maths - Question 10 - 2018 - Paper 1
Question 10
The times that 48 trains left a station on Monday were recorded. The cumulative frequency graph gives information about the numbers of minutes the trains were dela... show full transcript
Worked Solution & Example Answer:The times that 48 trains left a station on Monday were recorded - Edexcel - GCSE Maths - Question 10 - 2018 - Paper 1
Step 1
Draw a box plot for the information about the delays on Monday.
Answer
To draw the box plot:
- Find the five-number summary: From the cumulative frequency graph, identify the minimum (0 minutes), lower quartile (Q1), median, upper quartile (Q3), and maximum (42 minutes).
- Construct the box plot:
- Start at 0 minutes for the minimum.
- Draw a box from Q1 to Q3.
- Place a line inside the box at the median.
- Extend lines (whiskers) from the box to the minimum and maximum values (0 and 42 minutes).
- Label the axes with appropriate intervals.
Step 2
Compare the distribution of the delays on Monday with the distribution of the delays on Tuesday.
Answer
The distribution of delays on Monday shows a wider range compared to Tuesday. The delay on Monday is more spread out, as seen from the cumulative frequency graph, indicating a greater variability. In contrast, Tuesday's distribution appears to be more concentrated around the median, suggesting that the delays on Tuesday were less variable, with fewer extreme values.
Step 3