Subjects statistics

Median Mode Range 91D259

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1. **State the problem:** Find the median, mode, and range of the given football player ages data set: 21, 23, 23, 23, 23, 24, 24, 25, 25, 26, 26, 26, 26, 27, 27, 27, 28, 29, 38. 2. **Median:** The median is the middle value when data is ordered. - The data has 19 values (odd number). - Median position is $\frac{19+1}{2} = 10$th value. - The 10th value in the ordered list is 25. 3. **Mode:** The mode is the value(s) that appear most frequently. - Count frequencies: - 23 appears 4 times - 26 appears 4 times - Others appear fewer times - Modes are 23 and 26 (both appear 4 times). 4. **Range:** The range is the difference between the maximum and minimum values. - Max value = 38 - Min value = 21 - Range = $38 - 21 = 17$ **Final answers:** - Median = 25 years - Mode = 23 years and 26 years - Range = 17 years