For a given set of data mean = 14 and median = 15.

Statement (1): Mode = 17.

Statement (2): Mode = 3 Median - 2 Mean s

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.

Given, mean = 14 and median = 15

By formula,

Mode = 3 Median - 2 Mean

So, statement 2 is true.

Substituting the values, we get :

⇒ Mode = 3 x 15 - 2 x 14

⇒ Mode = 45 - 28

⇒ Mode = 17.

So, statement 1 is true.

∴ Both the statement are true.

Hence, option 1 is the correct option.