Subjects statistics

Data Statistics 054049

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1. **State the problem:** We are given a data set representing the number of states traveled to or lived in: 2, 3, 6, 2, 6, 1, 11, 8, 2, 1, 5, 2, 1, 7, 14. 2. **Order the data from least to greatest:** $$1, 1, 1, 2, 2, 2, 2, 3, 5, 6, 6, 7, 8, 11, 14$$ 3. **Find the median:** - The median is the middle value when data is ordered. - Since there are 15 data points (odd number), the median is the 8th value. - Counting to the 8th value: $$1, 1, 1, 2, 2, 2, 2, \boxed{3}, 5, 6, 6, 7, 8, 11, 14$$ - So, the median is $3$. 4. **Find the mode:** - The mode is the value that appears most frequently. - Count the frequency: - 1 appears 3 times - 2 appears 4 times - Others appear less frequently - The mode is $2$ because it appears 4 times. 5. **Find the range:** - The range is the difference between the maximum and minimum values. - Maximum value is $14$, minimum value is $1$. - So, the range is $$14 - 1 = 13$$. **Final answers:** - Median: $3$ - Mode: $2$ - Range: $13$