Mean of 10 numbers is 30. Later on it was observed that number 15 and 23 are wrongly taken as 51 and 32
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Step-by-step explanation:
Mean = sum of all observations / total no. of observations
30 x 10 = x₁ + x₂ + .....x₈ + 51 + 32 (numbers taken wrongly)
i.e. x₁ + x₂ + .....x₈ = 300 - 83
x₁ + x₂ + .....x₈ = 217
Original Mean = (x₁ + x₂ + .....x₈ + 15 + 23 ) / 10
= (217 + 38) / 10
= 255 / 10 = 25.5
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