JEE Main 2024 Mathematics question
If the variance of the frequency distribution is 160, then the value of c ∈ ℕ is
| x | c | 2c | 3c | 4c | 5c | 6c | |---|---|---|---|---|---|---| | f | 2 | 1 | 1 | 1 | 1 | 1 |
Answer: (C)
Solution
The total frequency is 7. The mean is (2c + 2c + 3c + 4c + 5c + 6c)/7 = 22c/7. The mean of squares is c²(2 + 4 + 9
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