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
