Question
Download Solution PDFWhat is the coefficient of mean deviation of 21, 34, 23, 39, 26, 37, 40, 20, 33, 27 (taken from mean)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Mean deviation from mean =
Coefficient of mean deviation =
where N is the number of observation
x̅ is the mean of the data
x is the value of the observation.
Calculation:
⇒ x̅ =
Sum of deviation from mean is given by Σ∣xi − x̅∣,
⇒ Σ∣xi − x̅∣ = ∣21 − 30∣ + ∣34 − 30∣ + ∣23 − 30∣ + ∣39 − 30∣ + ∣26 − 30∣ + ∣37 − 30∣ + ∣40 − 30∣ + ∣20 − 30∣ + ∣33 − 30∣ + ∣27 − 30∣
⇒ Σ∣xi − x̅∣ = 9 + 4 + 7 + 9 + 4 + 7 + 10 + 10 + 3 + 3
⇒ Σ∣xi − x̅∣ = 66
Mean deviation from mean =
Coefficient of mean deviation =
∴ Coefficient of mean deviation = 0.22
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