Question
Download Solution PDFThe mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from mean is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Data is 3, 10, 10, 4, 7, 10, 5
Formula used:
Average deviation about the mean
\(∑\rm \frac{|x_{i} - x̅|}{n}\) where x̅ = Mean
xi = individual term
n = total number of terms
Mean = Sum of all the terms/Total number of terms
Calculation:
n = total numbers in a data = 7
Mean x̅ = (3 + 10 + 10 + 4 + 7 + 10 + 5)/7 = 7
Mean deviation from mean = \(∑\rm \frac{|x_{i} - x̅|}{n}\)
Mean deviation from mean = (1/7) × [4 + 3 + 3 + 3 + 0 + 3 + 2]
∴ Mean deviation = 18/7
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