The mean of 5, 7, 6, 11, x and 13 is 44. Find the value of the observa

1.	The mean of 5, 7, 6, 11, x and 13 is 44. Find the value of the observation x.1. 12. 2223. 2644. 6
Answer» 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

The mean of 5, 7, 6, 11, x and 13 is 44. Find the value of the observation x.1. 12. 2223. 2644. 6

Answer» 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