The mean of x - 5, x - 3, x - 1 and x + 1 is :

1. 4x - 8

2. $\dfrac{4x - 8}{4}$

3. $\dfrac{x - 3 + x - 1}{2}$

4. none of these

26, x + 4, x + 2 and 18 are in descending order of their values and their median is 20, then the value of x is :

1. 19

2. 17

3. 15

4. 13

Statement 1: The mean of 100 observation is 50 and one of these observation is increased by 150, the sum of resulting observation is 100 x 50 + 150.

Statement 2: The sum of resulting observation = 100 x 50 + 100.

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.

Assertion (A): The mean of x₁, x₂ and x₃ is m. Then the value of (x₁ - m) + (x₂ - m) + (x₃ - m) = 0.

Reason (R): x₁ + x₂ + x₃ = 3m

⇒ (x₁ - m) + (x₂ - m) + (x₃ - m) = (x₁ + x₂ + x₃) - 3m

1. A is true, but R is false.

2. A is false, but R is true.

3. Both A and R are true, and R is the correct reason for A.

4. Both A and R are true, and R is the incorrect reason for A.