To find the mean and median of Janette's seedling heights, we first need to calculate the mean and then find the median.
Given Heights:
4, 3.5, 6, 7.2, 5, 6.1, 3.6, 7.1, 3, 3.2
Calculating the Mean:
- Sum of the heights: \[ 4 + 3.5 + 6 + 7.2 + 5 + 6.1 + 3.6 + 7.1 + 3 + 3.2 = 45.7 \text{ cm} \]
- Number of seedlings: There are \( 9 \) seedlings.
- Mean: \[ \text{Mean} = \frac{\text{Sum of heights}}{\text{Number of seedlings}} = \frac{45.7}{9} \approx 5.08 \text{ cm} \]
Calculating the Median:
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Arrange the heights in ascending order: 3, 3.2, 3.5, 3.6, 4, 5, 6, 6.1, 7.1, 7.2
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Find the median: Since there are 9 values (an odd number), the median is the middle value (5th value).
- The sorted list: 3, 3.2, 3.5, 3.6, 4, 5, 6, 6.1, 7.1, 7.2
Thus, the median is: \[ \text{Median} = 4 \text{ cm} \]
Final Answers:
- Mean ≈ 5.08 cm
- Median = 4 cm