The value represented by the letter A on a box plot typically corresponds to the first quartile (Q1) of the data set, which is the median of the first half of the data.
To find Q1 for the given data set (which is already in ascending order: 10, 12, 15, 21, 24, 30), follow these steps:
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Identify the Data Points: The data points are: 10, 12, 15, 21, 24, 30.
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Calculate Q1:
- First, find the median (Q2) of the data set. Since there are six numbers, the median will be the average of the third and fourth values: \[ Q2 = \frac{15 + 21}{2} = \frac{36}{2} = 18 \]
- Next, to find Q1, take the first half of the data (the first three numbers: 10, 12, 15) and find the median of these numbers: \[ Q1 = 12 \]
Thus, the value represented by the letter A on the box plot is 12.
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