Question
The mean and standard deviation of 6 observations are 10
and 3 respectively. If each observation is multiplied by 4 and then 5 is added to each result, find the new mean and new standard deviation.Solution
If original data has mean μ and SD σ, and we transform x to y = a x + b: New mean = aμ + b New SD = |a| σ Here μ = 10, σ = 3, a = 4, b = 5 New mean = 4×10 + 5 = 45 New SD = 4×3 = 12.
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