If each observation of a given set of data is increased by 5, their mean:

1. remains the same

2. becomes five times

3. is decreased by 5

4. is increased by 5

The median of observations (written in ascending order) 26, 29, 42, 53, x, x + 2, 70, 75, 82, 83 and 100 is 65; then:

1. x = 65

2. x + 2 = 65

3. $\dfrac{x + (x + 2)}{2}$ = 6

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: For n number of data in a set, median = $\Big(\dfrac{n}{2}\Big)^{th}$ term.

Statement 2: If n is even, median = $\dfrac{1}{2}\Big[\Big(\dfrac{n}{2}\Big)^{th} \text{ term } + \Big(\dfrac{n}{2}+ 1\Big)^{th} \text{ term }\Big]$

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.