Correct Answer – Option 2 : 222

Concept:

Mean: It is the sum of all observations upon a number of observations.

If x1, x2, x3, …., xn are the observations, then mean is given as

\(\rm \bar{X} = \frac{sum\ of\ observations}{number\ of\ observations}\)

\(\rm \bar{X}= \frac{x_{1}+x_{2}+…+x_{n}}{n}\)

Calculation:

We have X̅ = 44 and observations 5, 7, 6, 11, x, 13.

So, mean \(\bar{X} = \frac{5+7+6+11+x+13}{6}\)

⇒ 44 × 6 = 42 + x

⇒ x = 222