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Dear student Mean = \frac{\sum_{i} f_{i} x_{i}}{\sum_{i} f_{i}} = \frac{17 (10) + 30 (5 a + 3) + 32 (50) + 70 (7 a - 11) + 19 (90)}{17 + + 5 a + 3 + 32 + 7 a - 11 + 19} \Rightarrow \frac{640 a + 2800}{12 a + 60} = 50 \Rightarrow 640 a + 2800 = 600 a + 3000 \Rightarrow 40 a = 200 \Rightarrow a = 5 Thus frequency of 30 is 5 a + 3 i . e . 28 and frequency of 70 is 7 a - 11 i . e . 24 Regards

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