Subjects statistics

Median Data 5C54Ad

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1. **State the problem:** We need to find the median of the data set: 0, 4, 1, 5, 2, 1, 6, 4, 6, 3, 0, 6, 3, 0, 2, 5. 2. **Recall the median definition:** The median is the middle value of a data set when the numbers are arranged in ascending order. If there is an even number of values, the median is the average of the two middle numbers. 3. **Sort the data:** Arrange the numbers in ascending order: $$0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6$$ 4. **Count the number of data points:** There are 16 numbers, which is even. 5. **Find the middle positions:** For 16 numbers, the middle two positions are the 8th and 9th numbers. 6. **Identify the middle values:** The 8th number is 3 and the 9th number is also 3. 7. **Calculate the median:** $$\text{Median} = \frac{3 + 3}{2} = 3$$ **Final answer:** The median of the data set is **3**.