JEE Main 2024 Mathematics question
Let a, b, c ∈ N and a < b < c. Let the mean, the mean deviation about the mean and the variance of the 5 observations 9, 25, a, b, c be 18, 4 and , respectively. Then 2a + b − c is equal to .
Answer: 33
Solution
a + b + c = 56 and Σ(x − 18)² = 136 gives a² + b² + c² = 1050. Mean deviation 4 means Σ|x − 18| = 20; since 9 and 25 contribute
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