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

Question

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, 9 7 1 6, 3 9 7 1 6, 13 9 7 1 6, 13 7 9 1 6

MARKS App · Accepted Answer

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

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