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Sunflower Heights

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Sunflower Heights


1. **State the problem:** We have the heights of 25 sunflower plants shown in a stem-and-leaf diagram. We need to find: (a) The median height of the plants. (b) The percentage of plants taller than the average height of 1.9 metres (190 cm). 2. **List all heights in order:** From the stem-and-leaf: - 154, 158 - 163, 164, 165, 165 - 172, 172, 173, 176, 176 - 180, 181, 182, 183, 187, 188, 189 - 190, 196, 196 - 203, 204, 204 3. **Find the median height:** There are 25 plants, so the median is the height of the $\frac{25+1}{2} = 13^{th}$ plant when ordered. Counting the plants: - 1 to 2: 154, 158 - 3 to 6: 163, 164, 165, 165 - 7 to 11: 172, 172, 173, 176, 176 - 12 to 18: 180, 181, 182, 183, 187, 188, 189 The 13th plant is the second number in the 12 to 18 range, which is 181 cm. So, median height = 181 cm. 4. **Calculate percentage taller than 190 cm:** Plants taller than 190 cm are those with heights > 190 cm: - 196, 196, 203, 204, 204 Count = 5 plants. Percentage = $\frac{5}{25} \times 100 = 20$%. **Final answers:** (a) Median height = 181 cm (b) Percentage taller than 190 cm = 20 %