Question

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

Statement (1): Mode = 17.

Statement (2): Mode = 3 median − 2 mean.

पर्याय

• Both the statements are true.

• Both the statements are false.

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

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

Answer 1

Both the statements are true.

Explanation:

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 × 15 − 2 × 14

⇒ Mode = 45 − 28

⇒ Mode = 17.

So, statement 1 is true.

∴ Both the statement are true.