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In an experiment, 60 students each completed a puzzle - Edexcel - GCSE Maths - Question 11 - 2022 - Paper 2
Question 11
In an experiment, 60 students each completed a puzzle. The cumulative frequency graph shows information about the times taken for the 60 students to complete the pu... show full transcript
Worked Solution & Example Answer:In an experiment, 60 students each completed a puzzle - Edexcel - GCSE Maths - Question 11 - 2022 - Paper 2
Step 1
Determine the key values for the box plot
Answer
From the information provided:
- The least time taken is 24 seconds.
- The greatest time taken is 96 seconds.
- The median (Q2) and quartiles (Q1 and Q3) can be found from the cumulative frequency graph. For instance, to find the median (30 students, which is half of 60), locate where the cumulative frequency reaches 30 seconds. The first quartile (Q1) is where the cumulative frequency reaches 15 (1/4 of 60), and the third quartile (Q3) is where the cumulative frequency reaches 45 (3/4 of 60).
Step 2
Draw the box plot
Answer
On the grid provided, draw a number line that goes from the minimum value (24 seconds) to the maximum value (96 seconds). Then:
- Mark Q1, Q2 (the median), and Q3 on the number line.
- Draw a box from Q1 to Q3.
- Draw a line inside the box at the position of the median (Q2).
- Extend lines (whiskers) from the box to the least and greatest values.
Make sure to label the axes appropriately and ensure clarity in your box plot representation.