Subjects statistics

Median Siblings 34Ac48

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1. **State the problem:** We are given a frequency table showing the number of siblings people have and asked to find the median number of siblings. 2. **Recall the median definition:** The median is the middle value when all data points are arranged in order. For grouped data, we find the cumulative frequencies and locate the middle position. 3. **List the data:** Number of siblings: 0, 1, 2, 3, 4 Frequency: 4, 2, 5, 6, 8 4. **Calculate total frequency:** $$N = 4 + 2 + 5 + 6 + 8 = 25$$ 5. **Find the median position:** $$\text{Median position} = \frac{N+1}{2} = \frac{25+1}{2} = 13$$ 6. **Calculate cumulative frequencies:** - Up to 0 siblings: 4 - Up to 1 sibling: 4 + 2 = 6 - Up to 2 siblings: 6 + 5 = 11 - Up to 3 siblings: 11 + 6 = 17 - Up to 4 siblings: 17 + 8 = 25 7. **Locate the median class:** The 13th data point lies between cumulative frequency 11 and 17, so the median number of siblings is 3. **Final answer:** $$\boxed{3}$$