Discussion

Explanation:

Mean of 100 observations = 60

Correction to be made = x – 50

New average, 60×100 + (x - 50)100 = 61

⇒ 6000 + x – 50 = 6100

⇒ x = 150.

Alternately,

Since the average of 100 numbers increases by 1, the sum increases by 100 × 1 = 100.

Hence the number added is 100 more than the number removed

⇒ 100 = number added – number removed = x - 50

⇒ x = 150.

Hence, 150.

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