Question

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work out the median of these numbers:
10, 6, 9, 4, 3, 3

Explanation:

Order the given numbers from least to greatest

The given set of numbers is:

$$ 3, 3, 4, 6, 9, 10 $$

Find the middle values of the ordered data set

Since there are \(n = 6\) numbers (an even number of values), the median is the average of the two middle numbers (the 3rd and 4th values):

$$ \text{Middle values} = 4 \text{ and } 6 $$

Calculate the average of the two middle values

$$ \text{Median} = \frac{4 + 6}{2} = \frac{10}{2} = 5 $$

Answer:

5