NTA Abhyas JEE Main2020MathematicsSequences and SeriesPractice
The geometric mean of 6 observations was calculated as 13. It was later observed that one of the observations was recorded as 28 instead of 36. The correct geometric mean is
Options
- A9 7 1 6
- B3 9 7 1 6
- C13 9 7 1 6
- D13 7 9 1 6
Correct answer
C. 13 9 7 1 6
Step-by-step solution
Let x 1 , x 2 … , x 6 are the observations and x 1 = 28 ⇒ 28 . x 2 … x 6 = 13 6 ⇒ x 2 … x 6 = 13 6 28 Now correct observation is 36 ⇒ 36 . x 2 … x 6 = 13 6 28 × 36 So, now correct geometric mean = 13 9 7 1 6