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Median Mode Sum 97312C

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Median Mode Sum 97312C


1. **Problem:** Find the sum of the lower limits of the median class and mode class from the given frequency distribution. Class intervals: 0-5, 5-10, 10-15, 15-20, 20-25 Frequencies: 10, 15, 12, 20, 9 2. **Median class:** The class where the cumulative frequency reaches or exceeds half the total frequency. Total frequency $=10+15+12+20+9=66$ Half total frequency $=\frac{66}{2}=33$ Cumulative frequencies: - 0-5: 10 - 5-10: 10+15=25 - 10-15: 25+12=37 - 15-20: 37+20=57 - 20-25: 57+9=66 Median class is 10-15 because cumulative frequency crosses 33 here. 3. **Mode class:** The class with the highest frequency. Frequencies: 10, 15, 12, 20, 9 Highest frequency is 20 in class 15-20. 4. **Sum of lower limits:** Lower limit of median class = 10 Lower limit of mode class = 15 Sum $=10+15=25$ **Answer:** (b) 25 --- Since the instruction is to solve only the first question, we stop here.