The average of 6 observations is 45.5. If one new observation is added to the pr

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The average of 6 observations is 45.5. If one new observation is added to the previous observations, then the new average becomes 47. The new observation is

Options:

A . 56

B . 50

C . 58

D . 46

Answer: Option A
Answer: (a)Let the new observation be x. Then, ${x+6×45.5}/7$= 47 ⇒ x + 273 = 47 × 7 = 329 ⇒ x = 329 – 273 = 56 Aliter : Using Rule 24, Here, x = (47 – 45.5) = 1.5, n = 6 New observation = Average + x (n + 1) = 45.5 + 1.5 (6 + 1) = 45.5 + 10.5 = 56

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