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The stem and leaf diagram shows information about the heights, in cm, of 23 sunflowers - Edexcel - GCSE Maths - Question 13 - 2019 - Paper 3
Question 13
The stem and leaf diagram shows information about the heights, in cm, of 23 sunflowers. 17 3 4 9 18 6 8 19 0 0 1 4 6 7 8 20 4 7 9 9 21 8 On the grid, draw a box pl... show full transcript
Worked Solution & Example Answer:The stem and leaf diagram shows information about the heights, in cm, of 23 sunflowers - Edexcel - GCSE Maths - Question 13 - 2019 - Paper 3
Step 1
Find and Interpret the Data
Answer
From the stem and leaf diagram, we interpret the heights of the sunflowers as follows:
- 173 cm (17 | 3)
- 174 cm (17 | 4)
- 179 cm (17 | 9)
- 186 cm (18 | 6)
- 188 cm (18 | 8)
- 190 cm (19 | 0)
- 190 cm (19 | 0)
- 191 cm (19 | 1)
- 194 cm (19 | 4)
- 196 cm (19 | 6)
- 197 cm (19 | 7)
- 198 cm (19 | 8)
- 200 cm (20 | 0)
- 204 cm (20 | 4)
- 207 cm (20 | 7)
- 209 cm (20 | 9)
- 209 cm (20 | 9)
- 218 cm (21 | 8) This gives us a total of 23 heights.
Step 2
Calculate the Five-Number Summary
Answer
To create the box plot, we need the five-number summary:
- Minimum: 173 cm
- First Quartile (Q1): 179 cm
- Median (Q2): 196 cm
- Third Quartile (Q3): 204 cm
- Maximum: 218 cm
The quartiles can be calculated from the ordered data. Ordering the heights gives: 173, 174, 179, 186, 188, 190, 190, 191, 194, 196, 197, 198, 200, 204, 207, 209, 209, 218. We can find the quartiles based on the position in the ordered list.
Step 3
Draw the Box Plot
Answer
On the provided grid, draw a horizontal line to represent the five-number summary:
- Mark the minimum (173 cm) and maximum (218 cm).
- Draw a box from Q1 (179 cm) to Q3 (204 cm).
- Inside the box, mark the median (196 cm) with a vertical line.
- Finally, extend lines (whiskers) from the box to the minimum and maximum values. Ensure all values are positioned correctly against the grid.