Subjects statistics

Median Die Rolls 79A6C5

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1. **State the problem:** We need to find the median of the numbers rolled on a 6-sided die based on the given dot plot. 2. **List the data:** From the dot plot: - Number 1 appears 2 times - Number 2 appears 3 times - Number 3 appears 2 times - Number 4 appears 4 times - Number 5 appears 1 time - Number 6 appears 0 times 3. **Write out all the rolls in order:** $$1,1,2,2,2,3,3,4,4,4,4,5$$ 4. **Count the total number of rolls:** There are $$2+3+2+4+1=12$$ rolls. 5. **Find the median:** The median is the middle value when data is ordered. For an even number of data points $$n=12$$, the median is the average of the $$\frac{n}{2}$$-th and $$\left(\frac{n}{2}+1\right)$$-th values. 6. **Identify the middle values:** The 6th and 7th values in the ordered list are: - 6th value: $$3$$ - 7th value: $$3$$ 7. **Calculate the median:** $$\text{Median} = \frac{3 + 3}{2} = 3$$ **Final answer:** The median of the numbers rolled is **3**.