To find the mean and median of Janette's tomato seedling heights, we first need to organize her data:
Seedling Heights (cm): 4, 3.5, 6, 7.2, 5, 6.1, 3.6, 7.1, 3, 3.2
Step 1: Calculate the Mean
The mean is calculated by adding all the values together and then dividing by the number of values.
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Add the values: \( 4 + 3.5 + 6 + 7.2 + 5 + 6.1 + 3.6 + 7.1 + 3 + 3.2 = 46.7 \)
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Count the number of values: There are 10 seedlings.
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Calculate the mean: \[ \text{Mean} = \frac{46.7}{10} = 4.67 \text{ cm} \]
Step 2: Calculate the Median
The median is the middle value when the numbers are arranged in order. If there is an even number of observations, the median is the average of the two middle values.
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Sort the values: \( 3, 3.2, 3.5, 3.6, 4, 5, 6, 6.1, 7.1, 7.2 \)
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Find the middle values: Since there are 10 values (even), we find the average of the 5th and 6th values.
- The 5th value is 4.
- The 6th value is 5.
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Calculate the median: \[ \text{Median} = \frac{4 + 5}{2} = 4.5 \text{ cm} \]
Final Result
- Mean = 4.67 cm
- Median = 4.5 cm
So the final answers are:
Mean = 4.67 cm. Median = 4.5 cm.